3:I[9275,[],""]
5:I[1343,[],""]
6:I[4080,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],""]
7:I[231,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-53a773e0095d4429.js"],""]
8:I[212,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-53a773e0095d4429.js"],"default"]
9:I[8629,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"SearchButton"]
a:I[942,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"AdviserRegistrationButton"]
b:I[390,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"ExamineeRegistrationButton"]
c:I[8001,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"NavigationBarCategoryTabItem"]
d:I[2738,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"ConsultingButton"]
e:I[2362,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"default"]
f:I[490,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"default"]
10:I[3578,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"default"]
11:I[4404,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","180","static/chunks/180-fa9585ba28b3b839.js","185","static/chunks/app/layout-ec6484a5765a2673.js"],"GoogleAnalytics"]
4:["id","72kZ0w7VpUKkp6CEnOvy","d"]
0:["sMF7Qq1oKpjYXR2YeUmJs",[[["",{"children":["advice",{"children":[["id","72kZ0w7VpUKkp6CEnOvy","d"],{"children":["__PAGE__?{\"id\":\"72kZ0w7VpUKkp6CEnOvy\"}",{}]}]}]},"$undefined","$undefined",true],["",{"children":["advice",{"children":[["id","72kZ0w7VpUKkp6CEnOvy","d"],{"children":["__PAGE__",{},[["$L1","$L2"],null],null]},["$","$L3",null,{"parallelRouterKey":"children","segmentPath":["children","advice","children","$4","children"],"error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L5",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$undefined","notFoundStyles":"$undefined","styles":null}],null]},["$","$L3",null,{"parallelRouterKey":"children","segmentPath":["children","advice","children"],"error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L5",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":"$undefined","notFoundStyles":"$undefined","styles":null}],null]},[["$","html",null,{"lang":"ja","children":[["$","$L6",null,{"async":true,"src":"https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js?client=ca-pub-6167616270861177","crossOrigin":"anonymous"}],["$","$L6",null,{"async":true,"src":"https://securepubads.g.doubleclick.net/tag/js/gpt.js","crossOrigin":"anonymous"}],["$","$L6",null,{"id":"google-ad-manager","children":"\n          window.googletag = window.googletag || {cmd: []};\n          googletag.cmd.push(function() {\n            googletag.defineSlot('/102643165/pc-under_title', ['fluid'], 'div-gpt-ad-1749012831201-0').addService(googletag.pubads());\n            googletag.defineSlot('/102643165/unilink_web_under_advice', ['fluid'], 'div-gpt-ad-1749138434339-0').addService(googletag.pubads());\n            googletag.pubads().enableSingleRequest();\n            googletag.pubads().collapseEmptyDivs();\n            googletag.enableServices();\n          });\n        "}],["$","body",null,{"className":"__className_36bd41","children":[["$","nav",null,{"className":"w-full bg-white text-white py-2","children":[["$","div",null,{"className":"relative h-16 mb-2","children":[["$","div",null,{"className":"absolute w-full flex items-center justify-center","children":["$","$L7",null,{"href":"/","children":["$","$L8",null,{"src":"/images/header.png","alt":"UniLinkヘッダー画像","width":200,"height":63}]}]}],["$","button",null,{"className":"absolute top-0 bottom-0 right-4 text-text","children":["$","$L9",null,{}]}]]}],["$","div",null,{"className":"flex justify-center space-x-2 mb-2","children":[["$","$La",null,{}],["$","$Lb",null,{}]]}],["$","div",null,{"className":"flex justify-center bg-primary","children":["$","div",null,{"className":"flex space-x-1 items-center overflow-x-auto hidden-scrollbar","children":[["$","$Lc","トップ",{"name":"トップ","selected":true}],["$","$Lc","現代文",{"name":"現代文","selected":false}],["$","$Lc","古・漢",{"name":"古・漢","selected":false}],["$","$Lc","数学",{"name":"数学","selected":false}],["$","$Lc","英語",{"name":"英語","selected":false}],["$","$Lc","理科",{"name":"理科","selected":false}],["$","$Lc","日本史",{"name":"日本史","selected":false}],["$","$Lc","世界史",{"name":"世界史","selected":false}],["$","$Lc","やる気",{"name":"やる気","selected":false}],["$","$Lc","時間",{"name":"時間","selected":false}],["$","$Lc","過去問",{"name":"過去問","selected":false}],["$","$Lc","模試",{"name":"模試","selected":false}],["$","$Lc","AO・小論",{"name":"AO・小論","selected":false}],["$","$Lc","ランキング",{"name":"ランキング","selected":false}]]}]}]]}],["$","$L3",null,{"parallelRouterKey":"children","segmentPath":["children"],"error":"$undefined","errorStyles":"$undefined","errorScripts":"$undefined","template":["$","$L5",null,{}],"templateStyles":"$undefined","templateScripts":"$undefined","notFound":["$","div",null,{"className":"px-4 py-4 text-center","children":[["$","h1",null,{"className":"text-4xl mb-4","children":"404"}],"指定されたページが見つかりませんでした。ページが削除または移動された可能性があります。"]}],"notFoundStyles":[],"styles":null}],["$","div",null,{"className":"fixed bottom-4 md:bottom-8 right-4 md:right-8 z-10","children":["$","$Ld",null,{}]}],["$","footer",null,{"className":"bg-gray-100","children":[["$","div",null,{"className":"px-4","children":["$","div",null,{"className":"max-w-5xl mx-auto w-full","children":[["$","$Le",null,{"sx":{"backgroundColor":"inherit","zIndex":1},"elevation":0,"children":[["$","$Lf",null,{"sx":{"paddingLeft":0,"paddingRight":0},"className":"font-semibold","expandIcon":["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M7.41 8.59 12 13.17l4.59-4.58L18 10l-6 6-6-6 1.41-1.41z","children":[]}]]],"className":"$undefined","style":{"color":"$undefined"},"height":"1em","width":"1em","xmlns":"http://www.w3.org/2000/svg"}],"children":"UniLink（ユニリンク）とは"}],["$","$L10",null,{"sx":{"paddingLeft":0,"paddingRight":0},"children":["$","div",null,{"className":"text-sm font-normal leading-relaxed","children":["UniLink（ユニリンク）とは、受験生会員数13万人以上、相談投稿数10万件以上を有する国内最大級のハイレベル受験質問プラットフォームです。",["$","br",null,{}],["$","br",null,{}],"全ての受験生が、受験の悩みや不安を無料で現役難関大生に質問できます。また、過去に投稿された全ての質問と回答を閲覧することもできます。",["$","br",null,{}],["$","br",null,{}],"質問に回答するすべての回答者は、学生証などを使用してUniLinkによって審査された東大・京大・慶應・早稲田・一橋・東工大・旧帝大のいずれかに所属する現役難関大生です。回答者の審査では、さらに実際の回答をUniLinkが確認して、一定の水準をクリアした合格者だけが登録できる仕組みとなっています。",["$","br",null,{}],["$","br",null,{}],"UniLink利用者の80%以上は、難関大学を志望する受験生です。ライバルから刺激を得て、合格者の知恵を1つでも多く吸収し、ハイレベルな受験対策を行いましょう。"]}]}]]}],["$","div",null,{"className":"border-b"}],["$","div",null,{"className":"py-4","children":[["$","div",null,{"className":"font-semibold","children":"UniLink公式SNSアカウント"}],["$","div",null,{"className":"text-sm font-normal leading-relaxed mb-2","children":"最新回答を短く要約してお届けします。"}],["$","div",null,{"children":["$","div",null,{"children":[["$","a",null,{"href":"https://twitter.com/unilink_study?ref_src=twsrc%5Etfw","className":"twitter-follow-button","data-show-count":"false","children":"@unilink_studyをフォロー"}],["$","$L6",null,{"async":true,"src":"https://platform.twitter.com/widgets.js"}]]}]}]]}],["$","div",null,{"className":"border-b"}],["$","div",null,{"className":"py-4","children":[["$","div",null,{"className":"font-semibold","children":"UniLink公式スマホアプリ"}],["$","div",null,{"children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/iomezpbt","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"max-w-sm rounded"}]}]}]]}],["$","div",null,{"className":"border-b"}],["$","div",null,{"className":"flex flex-wrap items-center gap-4 py-4","children":[["$","$L7",null,{"className":"footer-button","href":"https://about.uni-link.co.jp/","children":"会社概要"}],["$","div",null,{"className":"footer-divider","children":"|"}],["$","$L7",null,{"className":"footer-button","href":"https://about.uni-link.co.jp/contact/","children":"お問い合わせ"}],["$","div",null,{"className":"footer-divider","children":"|"}],["$","$L7",null,{"className":"footer-button","href":"https://about.uni-link.co.jp/","children":"広告出稿"}],["$","div",null,{"className":"footer-divider","children":"|"}],["$","$L7",null,{"className":"footer-button","href":"https://about.uni-link.co.jp/documentdl/","children":"媒体資料ダウンロード"}],["$","div",null,{"className":"footer-divider","children":"|"}],["$","$L7",null,{"className":"footer-button","href":"https://about.uni-link.co.jp/terms/","children":"利用規約"}],["$","div",null,{"className":"footer-divider","children":"|"}],["$","$L7",null,{"className":"footer-button","href":"https://about.uni-link.co.jp/privacypolicy/","children":"プライバシーポリシー"}],["$","div",null,{"className":"footer-divider","children":"|"}],["$","$L7",null,{"className":"footer-button","href":"https://about.uni-link.co.jp/tokutei-law/","children":"特定商取引に関する表記"}],["$","div",null,{"className":"footer-divider","children":"|"}],["$","$L7",null,{"className":"footer-button","href":"/sitemap.xml","children":"サイトマップ"}]]}]]}]}],["$","div",null,{"className":"bg-primary px-4 pt-4 pb-20","children":["$","div",null,{"className":"max-w-5xl mx-auto w-full flex justify-between items-center","children":[["$","div",null,{"className":"rounded overflow-hidden","children":["$","$L7",null,{"href":"/","children":["$","$L8",null,{"src":"/images/header.png","alt":"UniLinkヘッダー画像","width":100,"height":32}]}]}],["$","div",null,{"className":"text-white text-sm","children":"©UniLink, Inc."}]]}]}]]}]]}],["$","$L11",null,{"gaId":"G-ELSR1M4E8Q"}]]}],null],null],[[["$","link","0",{"rel":"stylesheet","href":"/_next/static/css/85d7fb81f313170a.css","precedence":"next","crossOrigin":"$undefined"}]],[null,"$L12"]]]]]
12:[["$","meta","0",{"name":"viewport","content":"width=device-width, initial-scale=1"}],["$","meta","1",{"charSet":"utf-8"}],["$","title","2",{"children":"数Ⅲ 微分 | UniLink"}],["$","meta","3",{"name":"description","content":"y=3x-2sinxの関数の増減を調べよという問題が分からないので教えて欲しいです。"}],["$","link","4",{"rel":"icon","href":"/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","5",{"rel":"icon","href":"/icon.png?2c0dc65a59843333","type":"image/png","sizes":"180x180"}],["$","link","6",{"rel":"apple-touch-icon","href":"/apple-icon.png?2c0dc65a59843333","type":"image/png","sizes":"180x180"}],["$","meta","7",{"name":"next-size-adjust"}]]
1:null
13:I[3903,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-53a773e0095d4429.js"],"ClientInfo"]
14:I[2798,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-53a773e0095d4429.js"],"AdUnderConsultation"]
15:I[2582,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-53a773e0095d4429.js"],"AdviserInfo"]
16:I[9083,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-53a773e0095d4429.js"],"AdviserProfile"]
17:I[7060,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-53a773e0095d4429.js"],"AdUnderAdvice"]
18:I[3194,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-53a773e0095d4429.js"],"CommentPostButton"]
19:I[3866,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-53a773e0095d4429.js"],"AdOnAdviceList1"]
1a:Tc1f,　こういった問題独自の定義は、だいたい文字を含んでいることが多いです。例えば、
・「nを正の整数とし、3^nを10で割った余りをanとする。」（東京大2016文系）
・「正の整数nの各位の数の和をS(n)で表す。」（一橋大2018）
・「nを2以上の整数とする。金貨と銀貨を含むn枚の硬貨を同時に投げ、裏が出た金貨は取り去り、取り去った金貨と同じ枚数の銀貨を加えるという試行の繰り返しを考える。初めはn枚すべてが金貨であり、n枚すべてが銀貨になった後も試行を繰り返す。k回目の試行の直後に、n枚の硬貨の中に金貨がj枚だけ残る確率をPk(j)（0≦j≦n）で表す。」（東北大2019文系）
のように。あなたが挙げて下さった例でもそうですね。
　ご存知のように、数学で文字が使われるのはそこに入る値が不特定であるときなので、逆にいえば、自分で具体的な値を代入して実験してみれば良いわけです。k-連続和でいえば、m=1、k=2とすると、3＝1+2という等式になり、3は2-連続和であることになります（相談文のk+1はおそらくkー1の間違いですね。でなければ、nはk+2個の連続する自然数の和になってしまうので）。ちゃんと、n(3)がk(2)個の連続する自然数(1→2)の和であるという定義に則ってますね。2019年文系の確率も、例えばk＝1を代入してみると、P1(j)は「n枚の金貨を同時に投げ、そのうちj枚が表で他が裏になる確率」のことを言っているのだとわかります（ちなみにこれは小問⑴）。反復試行の確率を考えればすぐ解けますね。すると、次はk＝2、その次はk＝3、と実験数をどんどん増やしていけば、Pk(j)の内容もいずれわかるはずです。試行の手順上、残るj枚は必ず全ての試行において表でなければならず、他方それ以外の金貨はすべて、k回のうちのどこかで裏が出ればいい（全て表で残る場合の余事象）わけですから、「n枚の金貨のうち、k回の試行の直後に残るべきj枚はk回とも全て表が出て、それ以外のn−j枚はk回の試行で少なくとも一回裏が出る確率」とわかります。ここまで日本語として簡略化できれば、Pk(j)（特に、k≧2）の値もそこまで苦戦せずに出せそうですね（ちなみにこれは小問⑵）。
　このように、なるべく簡単な値から代入して実験を繰り返すことで、独自の定義が何を言っているのかは帰納的に理解できることが多いです。文字が多かったり、分かりにくい表現だったりして、複雑で難しく感じる定義が出てきたら、まずは実験してみることを心がけると良いと思います。文系の問題ですが、もしまだ解いてない場合はネタバレになってしまい申し訳ございません。1b:T10ea,受験数学にひらめきは全く必要ありません。

実際、数学者と数学の得意な高校生が、受験数学で勝負すると高校生が圧勝します（実話です）。一体何が、高校生を勝たせるのだと思いますか？

受験数学には、確かに、「ひらめきのようなもの」を要求する場面があります。特に整数問題などで顕著ですが。しかし、ほとんどの問題は、今まで身につけてきた解法で対応できてしまうんですね。

例えばですが、多変数関数 f(x,y)の最大値、最小値を求めよという問題が出たとします。（f(x,y)の中身は、例えば、x^2 3xy y^2などですね。ここではそれは本質ではないのでスルーします。）その時、方針が何通りかあるんですが、それを列挙できますか？
あるいは、図形問題に対して、どのようなアプローチを考えるべきか説明できますか？
（答えはどちらも回答の最後に載せますね）

もし1つも分からない場合や、何個かしか挙げられない時は、少し補充的な勉強をする必要があります。
問題ごとに、それを解くための最適な方針がありますね。それをメモ程度で十分なので、どんどんまとめていってください。すると、多種多様に見える問題も、スタートは必ず同じことをしていたり、何個かのパターンの方針しか使っていなかったりします。本当はこういうことを分かっていくのは、問題演習を通してだんだん培っていくべきものなんでしょうが、99％の人は出来ないでしょう。僕も全然出来ませんでしたし。

なんにせよ、こういう「解法の整理」をしていくと、全く手が付かない問題はほとんどなくなってきます。途中までは行けるようになるんですね。そして、「ひらめき」は大抵こういう場面で使うものですね。例えば最後の最後に有名不等式を使ったりなどでしょうか。しかし、これすらも、方針としてカテゴライズすることが可能です。いわゆる純粋なひらめきは、受験数学においてはあり得ないといって良いでしょう。大抵、「閃かない」時は、解法が浮かばない時です。かなり具体的な問題に帰着できましたね。
僕は、ノートの見開き1ページに、この問題が来たら、この方針がよく登場する！というフローチャートのようなものを作っていましたね。頭の中が整理されていく感じがして楽しいですよ。

ちなみに、基礎ができていないということは、多少あるにせよ直接的な原因ではなく、いくら固めたところで、成果が微々たるものしか出ないので、気をつけましょう。青チャート、フォーカスゴールド、どちらも持っている時点でフル装備なので、多少の復習はもちろん必要といえども、頑張る必要はありません。

さて、先ほどの問題、わからずじまいは良くないですから簡単に
多変数関数の最大最小問題：
・等式があればxかyに代入してそれを消去する（いわゆる文字消去）
・xかyのどちらかを定数とみなし、ただの１変数関数とみなして考える（いわゆる文字固定）
・有名不等式の利用（相加相乗平均の関係、コーシーシュワルツの不等式、三角不等式など）
・逆像法
・線型計画法
・グラフを書いて考える
Etc.

図形問題のアプローチ
・まずは初等幾何で解けないか考える。
・次に、位置ベクトルを導入することで、内積などを利用して解けないか考える。
・もし対称性の高い図形だったら、座標平面を設定するのも考える。

僕がこの解法整理についての対策を編み出し、始めたのは12月の半ばです。今なら相当早いタイミングから対策できますから、ぜひ過去問での得点をぐんぐん挙げて、自信をつけていってほしいと思います。

では、有意義な秋をお過ごしください！2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=72kZ0w7VpUKkp6CEnOvy","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数Ⅲ 微分"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",0,") コメント(",0,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"3/27 16:23"}]]}],["$","div",null,{"className":"coach-mark mb-4","children":"UniLink利用者の80%以上は、難関大学を志望する受験生です。これまでのデータから、偏差値の高いユーザーほど毎日UniLinkアプリを起動することが分かっています。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_K4jBf98MLxQq5ARslyCq4ist4xA2.jpg?alt=media&token=4d2f76e8-f701-4b6d-a02b-6ece30ccf67c","clientUserName":"里桜","infoString":"高3 東京都 東京医科歯科大学歯学部(59)志望","adviceId":"72kZ0w7VpUKkp6CEnOvy"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"y=3x-2sinxの関数の増減を調べよ\nという問題が分からないので教えて欲しいです。"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}],null]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"回答"}],["$","div",null,{"className":"mb-4","children":["$","$L15",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_twi3NOvi2XNuQQ9sk07nPUPysYF2.jpg?alt=media&token=7d03a1e6-6009-417a-8aa7-fc0cf8326f31","adviserName":"Titania","adviserDepartment":"東京工業大学物質理工学院","adviceId":"72kZ0w7VpUKkp6CEnOvy"}]}],["$","div",null,{"className":"coach-mark mb-4","children":"すべての回答者は、学生証などを使用してUniLinkによって審査された東大・京大・慶應・早稲田・一橋・東工大・旧帝大のいずれかに所属する現役難関大生です。加えて、実際の回答をUniLinkが確認して一定の水準をクリアした合格者だけが登録できる仕組みとなっています。"}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap mb-4","children":[["$","div","advice-part-0",{"children":[null,"f(x)=3x-2sinx と置く．\nf'(x)=3-2cosx>0(∵|cosx|≦1)\nよって，f(x)は単調増加．\n以上のようになります．\n\n一般に，f(x)=ax-bsinx の増減は，\nf'(x)=a-bcosx\nとなるので，a>b のときf(x)は極値を持たず単調増加し，a<bのとき極値を持ちます．(a=bのときは広義単調増加)\nグラフ描画ソフト(Desmosがおすすめ)で試して見てください．"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_twi3NOvi2XNuQQ9sk07nPUPysYF2.jpg?alt=media&token=7d03a1e6-6009-417a-8aa7-fc0cf8326f31","adviserName":"Titania","adviserDepartment":"東京工業大学物質理工学院","adviceId":"72kZ0w7VpUKkp6CEnOvy","numberOfFan":13,"clipsAvg":10,"adviceRateAvg":5,"profile":"京都出身\n得意科目は数学，物理，化学"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink パンフレットバナー画像","className":"mt-4 rounded"}]}]}],["$","div",null,{"className":"pt-4","children":["$","$L17",null,{"id":"adsbygoogle-init-under-advice"}]}]]}],["$","div",null,{"className":"flex justify-between","children":[["$","h1",null,{"className":"text-xl font-semibold","children":["コメント(",0,")"]}],["$","$L18",null,{"adviceId":"72kZ0w7VpUKkp6CEnOvy"}]]}],["$","div",null,{"className":"mb-8","children":["$","div",null,{"className":"text-xs p-4","children":"コメントで回答者に感謝を伝えましょう！相談者以外も投稿できます。"}]}],["$","h1",null,{"className":"text-xl font-semibold","children":"よく一緒に読まれている人気の回答"}],["$","div",null,{"className":"mb-8","children":["$","div",null,{"className":"divide-y","children":[["$","div",null,{"children":["$","$L7",null,{"href":"/advice/XluOkWMBp00JfyF5pONv","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"三角関数の変形の使い分けについて"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"質問者様は高2ということなので、数Ⅱまでの範囲で回答させていただきます。\n\n\n【三角関数を変形する目的】\n\nまず、三角関数を変形するのは必ず目的があります。\n①三角関数を含んだ方程式・不等式を解くため\n②三角関数を含んだ関数の最大値・最小値を求めるため\nなどがよくある目的ですね。\n\n《①について》\n方程式や不等式ははじめに因数分解で攻めます。\n(因数)(因数)=0\nといった形になれば、あとは簡単ですね。\n因数分解しない場合は②の考え方をそのまま借りましょう\n\n《②について》\nsinのみ、cosのみ、tanのみ、の式に帰着させます。そしたら見たことある関数(一次関数、二次関数など)になります。\nそのための手段として\n＊三角関数の相互関係\n＊加法定理を用いた公式\nなどが存在します。\n\n\n－－－－－－－－－\n\n【質問主様の弱点と思われるところ】\n\n数Ⅱの三角関数に入ってからうまくいかなくなった高校生は加法定理を用いた公式につまづいている人が多いです。\n公式自体覚えていても、問題でうまく活用出来ないことがよくあります。\n\n先程の項目で書きました、変形のそもそもの目的を意識して演習してみてください。\n使い分けパターンは青チャートなどのテキストに詳しく記載されています。これを身につけることが大切です。\n\nパターンを繰り返しの演習で身につける際に、\n「因数分解を目指す！」\n「sinのみ、cosのみ、tanのみの式を目指す！」\nという意識を持って取り組むことで、何故その式変形を使うのかが体感出来ます。\n\n\n－－－－－－－－－\n\n【最後に】\n\n問題のゴールから逆算して考えることが数学においては大切です。\n初めから逆算して考えることなんて出来ないから、パターンを演習によって身につけるわけですが、ゴールを意識してパターンを身につけなければ、何のためのパターンなのかがわかりません。\n必ず、式変形の目的を意識した演習を心掛けてください。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs","children":["京都大学工学部"," ","クウルス"]}]]}],["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"flex","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 6v11.5c0 2.21-1.79 4-4 4s-4-1.79-4-4V5a2.5 2.5 0 0 1 5 0v10.5c0 .55-.45 1-1 1s-1-.45-1-1V6H10v9.5a2.5 2.5 0 0 0 5 0V5c0-2.21-1.79-4-4-4S7 2.79 7 5v12.5c0 3.04 2.46 5.5 5.5 5.5s5.5-2.46 5.5-5.5V6h-1.5z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":26}],["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 3c-1.74 0-3.41.81-4.5 2.09C10.91 3.81 9.24 3 7.5 3 4.42 3 2 5.42 2 8.5c0 3.78 3.4 6.86 8.55 11.54L12 21.35l1.45-1.32C18.6 15.36 22 12.28 22 8.5 22 5.42 19.58 3 16.5 3zm-4.4 15.55-.1.1-.1-.1C7.14 14.24 4 11.39 4 8.5 4 6.5 5.5 5 7.5 5c1.54 0 3.04.99 3.57 2.36h1.87C13.46 5.99 14.96 5 16.5 5c2 0 3.5 1.5 3.5 3.5 0 2.89-3.14 5.74-7.9 10.05z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":2}]]}],["$","div",null,{"className":"text-xs rounded-lg border border-text px-4","children":"理系数学"}]]}]]}],["$","div",null,{"className":"ml-3","children":["$","div",null,{"className":"bg-caption w-20 h-20 rounded-sm overflow-hidden","children":["$","div",null,{"className":"w-full h-full relative","children":["$","$L8",null,{"src":"/images/advice-category/math/math14.jpg","fill":true,"style":{"objectFit":"cover"},"sizes":"100%","alt":"理系数学カテゴリの画像","placeholder":"data:image/svg+xml;base64,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"}]}]}]}]]}]}]}],["$","div",null,{"children":["$","$L7",null,{"href":"/advice/GBGvxWoBTqPwDZPukjNy","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学Ⅲは先か後か"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！東工大一年のたまちゃんです。\n数学Ⅲは早めにやった方が良いと思います。現役生は数学Ⅲの演習量が浪人生に比べて少ないため、浪人生とそこで差がついてしまいます。割と1A2Bでは差がつかなかったりします。\nわからない所は飛ばしても良いと思います。授業でよく聞きましょう。また、予習の段階ではコンパス2以下でも良いかもしれませんが、授業で履修した所は基本全部した方が良いと思います。\n全部する事で、大体の典型問題に触れることが出来ます。\nまた、チャートは量が多いので、例題だけでOKです。練習問題は例題とほぼ同レベルなので解かなくて良いです。\nまた、はなおさんの動画をみて息抜きしながら頑張ってください！笑\nMake it possible with チャート  \n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs","children":["東京工業大学第三類"," ","たまちゃん"]}]]}],["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"flex","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 6v11.5c0 2.21-1.79 4-4 4s-4-1.79-4-4V5a2.5 2.5 0 0 1 5 0v10.5c0 .55-.45 1-1 1s-1-.45-1-1V6H10v9.5a2.5 2.5 0 0 0 5 0V5c0-2.21-1.79-4-4-4S7 2.79 7 5v12.5c0 3.04 2.46 5.5 5.5 5.5s5.5-2.46 5.5-5.5V6h-1.5z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":4}],["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 3c-1.74 0-3.41.81-4.5 2.09C10.91 3.81 9.24 3 7.5 3 4.42 3 2 5.42 2 8.5c0 3.78 3.4 6.86 8.55 11.54L12 21.35l1.45-1.32C18.6 15.36 22 12.28 22 8.5 22 5.42 19.58 3 16.5 3zm-4.4 15.55-.1.1-.1-.1C7.14 14.24 4 11.39 4 8.5 4 6.5 5.5 5 7.5 5c1.54 0 3.04.99 3.57 2.36h1.87C13.46 5.99 14.96 5 16.5 5c2 0 3.5 1.5 3.5 3.5 0 2.89-3.14 5.74-7.9 10.05z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":3}]]}],["$","div",null,{"className":"text-xs rounded-lg border border-text px-4","children":"理系数学"}]]}]]}],["$","div",null,{"className":"ml-3","children":["$","div",null,{"className":"bg-caption w-20 h-20 rounded-sm overflow-hidden","children":["$","div",null,{"className":"w-full h-full relative","children":["$","$L8",null,{"src":"/images/advice-category/math/math12.jpg","fill":true,"style":{"objectFit":"cover"},"sizes":"100%","alt":"理系数学カテゴリの画像","placeholder":"data:image/svg+xml;base64,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"}]}]}]}]]}]}]}],["$","$L19","ad-on-advice-list-2",{"id":"ad-on-advice-list-2"}],["$","div",null,{"children":["$","$L7",null,{"href":"/advice/tFIQcoIBTqPwDZPuRb1C","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"微分の応用"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"X(t)に関して\n速度dx/dt=vとする。…①\nすると、加速度d^2x/dt^2=d/dt•(dx/dt)=dv/dt …②\nとなる。\n次にt(x)に関して\ndt/dx=1/(dx/dt)=(①を用いて)=1/v…③であり、\nd^2t/dx^2=d/dx•(dt/dx)=(③を用いて)=d/dx•(1/v)\n(これは合成関数の微分に相当するので)\n=-1/v^2•dv/dx=(vの変数としてのxはかなり扱いづらいので、tに変数変換して)=-1/v^2•dv/dt•dt/dx\nとなる。②、③を用いて変形すると、\nd^2x/dt^2=-v^3•d^2t/dx^2\nとなる。あとは①を代入して、答えは\n{}=-(dx/dt)^3となります。\n\nあってるかな、、？なんにせよこうゆうのにチャレンジしてみる姿勢は素晴らしいと思います。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs","children":["東京大学理科一類"," ","Atom"]}]]}],["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"flex","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 6v11.5c0 2.21-1.79 4-4 4s-4-1.79-4-4V5a2.5 2.5 0 0 1 5 0v10.5c0 .55-.45 1-1 1s-1-.45-1-1V6H10v9.5a2.5 2.5 0 0 0 5 0V5c0-2.21-1.79-4-4-4S7 2.79 7 5v12.5c0 3.04 2.46 5.5 5.5 5.5s5.5-2.46 5.5-5.5V6h-1.5z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":2}],["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 3c-1.74 0-3.41.81-4.5 2.09C10.91 3.81 9.24 3 7.5 3 4.42 3 2 5.42 2 8.5c0 3.78 3.4 6.86 8.55 11.54L12 21.35l1.45-1.32C18.6 15.36 22 12.28 22 8.5 22 5.42 19.58 3 16.5 3zm-4.4 15.55-.1.1-.1-.1C7.14 14.24 4 11.39 4 8.5 4 6.5 5.5 5 7.5 5c1.54 0 3.04.99 3.57 2.36h1.87C13.46 5.99 14.96 5 16.5 5c2 0 3.5 1.5 3.5 3.5 0 2.89-3.14 5.74-7.9 10.05z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":2}]]}],["$","div",null,{"className":"text-xs rounded-lg border border-text px-4","children":"理系数学"}]]}]]}],["$","div",null,{"className":"ml-3","children":["$","div",null,{"className":"bg-caption w-20 h-20 rounded-sm overflow-hidden","children":["$","div",null,{"className":"w-full h-full relative","children":["$","$L8",null,{"src":"/images/advice-category/math/math9.jpg","fill":true,"style":{"objectFit":"cover"},"sizes":"100%","alt":"理系数学カテゴリの画像","placeholder":"data:image/svg+xml;base64,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"}]}]}]}]]}]}]}],["$","div",null,{"children":["$","$L7",null,{"href":"/advice/bU4qMXkBTqPwDZPuncb2","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"隣接3項間漸化式"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは、名古屋大学医学部医学科のメイメイといいます。\n(an-an-1)=bnとするとb1は求められないですね。\n\n(an+1)-(an)=2［(an)-(an-1)］\nが出てきているはずですが、\n\nn-1の項があり基本的にn≧2で考えています。\nこれをn≧1に直してみると\n(an+2)-(an+1)=2［(an+1)-(an)］\nとなります。\n単純にnの部分を1ずつずらしただけです。\n\nこの状態で(an+1)-(an)=bn\nと置いてみましょう。\n\nb1が求められるはずです。(ちなみにb2は必要ないです。)\n\nつまり(bn+1)=2(bn)、b1=(a2)-(a1)=8の等比数列に帰着しますね。\n\nこれを解くと、bn=8・2^n-1=2^n+2となります。(2^n-1は2のn-1乗という意味です。)\n\nすなわち、(an+1)-(an)=2^n+2\n\n両辺を2^n+1で割ると\n\n<(an+1)/2^n+1>-(1/2)<(an)/2^n>=2\n\nとなります。\n\n(an)/2^nをcnとすると、(cn+1)=(1/2)(cn)+2\n\nこれを変形して、(cn+1)-4=(1/2)<(cn)-4>\n\nつまり(cn)-4=(-7/2)・(1/2)^n-1=(-7)・(1/2)^n\n\nよってcn=4-7・(1/2)^n\n\nこの両辺に2^nをかけてan=4・2^n-7 (n≧1)\n\nとなります。\n分かりにくくてすいません！\n\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs","children":["名古屋大学医学部"," ","メイメイ"]}]]}],["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"flex","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 6v11.5c0 2.21-1.79 4-4 4s-4-1.79-4-4V5a2.5 2.5 0 0 1 5 0v10.5c0 .55-.45 1-1 1s-1-.45-1-1V6H10v9.5a2.5 2.5 0 0 0 5 0V5c0-2.21-1.79-4-4-4S7 2.79 7 5v12.5c0 3.04 2.46 5.5 5.5 5.5s5.5-2.46 5.5-5.5V6h-1.5z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":2}],["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 3c-1.74 0-3.41.81-4.5 2.09C10.91 3.81 9.24 3 7.5 3 4.42 3 2 5.42 2 8.5c0 3.78 3.4 6.86 8.55 11.54L12 21.35l1.45-1.32C18.6 15.36 22 12.28 22 8.5 22 5.42 19.58 3 16.5 3zm-4.4 15.55-.1.1-.1-.1C7.14 14.24 4 11.39 4 8.5 4 6.5 5.5 5 7.5 5c1.54 0 3.04.99 3.57 2.36h1.87C13.46 5.99 14.96 5 16.5 5c2 0 3.5 1.5 3.5 3.5 0 2.89-3.14 5.74-7.9 10.05z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":3}]]}],["$","div",null,{"className":"text-xs rounded-lg border border-text px-4","children":"理系数学"}]]}]]}],["$","div",null,{"className":"ml-3","children":["$","div",null,{"className":"bg-caption w-20 h-20 rounded-sm overflow-hidden","children":["$","div",null,{"className":"w-full h-full relative","children":["$","$L8",null,{"src":"/images/advice-category/math/math1.jpg","fill":true,"style":{"objectFit":"cover"},"sizes":"100%","alt":"理系数学カテゴリの画像","placeholder":"data:image/svg+xml;base64,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"}]}]}]}]]}]}]}],["$","div",null,{"children":["$","$L7",null,{"href":"/advice/cFJnJoIBTqPwDZPuubCm","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"独自の定義、規則"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"$1a"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs","children":["北海道大学法学部"," ","たけなわ"]}]]}],["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"flex","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 6v11.5c0 2.21-1.79 4-4 4s-4-1.79-4-4V5a2.5 2.5 0 0 1 5 0v10.5c0 .55-.45 1-1 1s-1-.45-1-1V6H10v9.5a2.5 2.5 0 0 0 5 0V5c0-2.21-1.79-4-4-4S7 2.79 7 5v12.5c0 3.04 2.46 5.5 5.5 5.5s5.5-2.46 5.5-5.5V6h-1.5z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":3}],["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 3c-1.74 0-3.41.81-4.5 2.09C10.91 3.81 9.24 3 7.5 3 4.42 3 2 5.42 2 8.5c0 3.78 3.4 6.86 8.55 11.54L12 21.35l1.45-1.32C18.6 15.36 22 12.28 22 8.5 22 5.42 19.58 3 16.5 3zm-4.4 15.55-.1.1-.1-.1C7.14 14.24 4 11.39 4 8.5 4 6.5 5.5 5 7.5 5c1.54 0 3.04.99 3.57 2.36h1.87C13.46 5.99 14.96 5 16.5 5c2 0 3.5 1.5 3.5 3.5 0 2.89-3.14 5.74-7.9 10.05z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":1}]]}],["$","div",null,{"className":"text-xs rounded-lg border border-text px-4","children":"理系数学"}]]}]]}],["$","div",null,{"className":"ml-3","children":["$","div",null,{"className":"bg-caption w-20 h-20 rounded-sm overflow-hidden","children":["$","div",null,{"className":"w-full h-full relative","children":["$","$L8",null,{"src":"/images/advice-category/math/math14.jpg","fill":true,"style":{"objectFit":"cover"},"sizes":"100%","alt":"理系数学カテゴリの画像","placeholder":"data:image/svg+xml;base64,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"}]}]}]}]]}]}]}],["$","$L19","ad-on-advice-list-5",{"id":"ad-on-advice-list-5"}],["$","div",null,{"children":["$","$L7",null,{"href":"/advice/6dvuWmcBTqPwDZPusmBG","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"理系数学と文系数学の違いの捉え方"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"文系数学と理系数学の違いは数3が入ってるか入ってないかだけですよ。数1A2Bの問題は理系の解き方と同じです。\nただ少し慣れないと感じるのはやはり微積の問題とかが原因だと思います。微積は2Bまでの範囲だと、x^n(nは自然数)を微積分する程度しか出ません。なのでこの関数の形以外が出たら微積の問題ではないと考えるべきでしょう。あとは最小、最大を求めるところで、文系だと相加相乗平均を使いがちです。ただこれは文系が、分数の形の式を微分できないからそうしてるだけであって、理系の勉強しているならふつうに微分してといて問題ないです。数3の微分でもちゃんと使えていれば入試で減点されることはありません。つまり数3の微分以外は全部使わないので忘れてもらって構いません。微分は時々使うので覚えておく価値はある、といったところだと思います。\n最後まで諦めず頑張ってください、応援しています。\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs","children":["京都大学経済学部"," ","フランダー"]}]]}],["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"flex","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 6v11.5c0 2.21-1.79 4-4 4s-4-1.79-4-4V5a2.5 2.5 0 0 1 5 0v10.5c0 .55-.45 1-1 1s-1-.45-1-1V6H10v9.5a2.5 2.5 0 0 0 5 0V5c0-2.21-1.79-4-4-4S7 2.79 7 5v12.5c0 3.04 2.46 5.5 5.5 5.5s5.5-2.46 5.5-5.5V6h-1.5z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":7}],["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 3c-1.74 0-3.41.81-4.5 2.09C10.91 3.81 9.24 3 7.5 3 4.42 3 2 5.42 2 8.5c0 3.78 3.4 6.86 8.55 11.54L12 21.35l1.45-1.32C18.6 15.36 22 12.28 22 8.5 22 5.42 19.58 3 16.5 3zm-4.4 15.55-.1.1-.1-.1C7.14 14.24 4 11.39 4 8.5 4 6.5 5.5 5 7.5 5c1.54 0 3.04.99 3.57 2.36h1.87C13.46 5.99 14.96 5 16.5 5c2 0 3.5 1.5 3.5 3.5 0 2.89-3.14 5.74-7.9 10.05z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":4}]]}],["$","div",null,{"className":"text-xs rounded-lg border border-text px-4","children":"文系数学"}]]}]]}],["$","div",null,{"className":"ml-3","children":["$","div",null,{"className":"bg-caption w-20 h-20 rounded-sm overflow-hidden","children":["$","div",null,{"className":"w-full h-full relative","children":["$","$L8",null,{"src":"/images/advice-category/math/math9.jpg","fill":true,"style":{"objectFit":"cover"},"sizes":"100%","alt":"文系数学カテゴリの画像","placeholder":"data:image/svg+xml;base64,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"}]}]}]}]]}]}]}],["$","div",null,{"children":["$","$L7",null,{"href":"/advice/31t4XGIBp00JfyF57q-B","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"円運動の公式"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"ぱりんさん\n\nこんばんは！東京大学理学部物理学科3年の林です。\n\n単振動に関連する公式は複雑ですよね。高校物理の範囲だと、実質的に暗記することが求められていますが、手段がないわけではありません。\nその手段というのは「微分・積分」です。\n理工学部志望ということで、多少は理解されているかもしれませんが、位置を時間で微分すると速度、速度を時間で微分すると加速度になります。数学IIIの発展内容（コラム）として教科書に載っているかもしれません。\n\n単振動の公式 x=Asinωt を時間微分すると dx/dt=ωAcosωt となりこれは速度です。\nさらに時間微分すると d^2x/dt^2=-ω^2Asinωtとなり、これは加速度の式になっています！\n\nこんなふうに、微分積分の考えを用いることで公式の暗記は省略できます。単振動は、初期条件によって三角比の部分がsinだったりcosだったりしますが、そのどちらでも対応可能ですよ。\n\n不明な点があったら、遠慮なく聞いてくださいね！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs","children":["東京大学理科一類"," ","Shunsuke"]}]]}],["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"flex","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 6v11.5c0 2.21-1.79 4-4 4s-4-1.79-4-4V5a2.5 2.5 0 0 1 5 0v10.5c0 .55-.45 1-1 1s-1-.45-1-1V6H10v9.5a2.5 2.5 0 0 0 5 0V5c0-2.21-1.79-4-4-4S7 2.79 7 5v12.5c0 3.04 2.46 5.5 5.5 5.5s5.5-2.46 5.5-5.5V6h-1.5z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":21}],["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 3c-1.74 0-3.41.81-4.5 2.09C10.91 3.81 9.24 3 7.5 3 4.42 3 2 5.42 2 8.5c0 3.78 3.4 6.86 8.55 11.54L12 21.35l1.45-1.32C18.6 15.36 22 12.28 22 8.5 22 5.42 19.58 3 16.5 3zm-4.4 15.55-.1.1-.1-.1C7.14 14.24 4 11.39 4 8.5 4 6.5 5.5 5 7.5 5c1.54 0 3.04.99 3.57 2.36h1.87C13.46 5.99 14.96 5 16.5 5c2 0 3.5 1.5 3.5 3.5 0 2.89-3.14 5.74-7.9 10.05z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":0}]]}],["$","div",null,{"className":"text-xs rounded-lg border border-text px-4","children":"物理"}]]}]]}],["$","div",null,{"className":"ml-3","children":["$","div",null,{"className":"bg-caption w-20 h-20 rounded-sm overflow-hidden","children":["$","div",null,{"className":"w-full h-full relative","children":["$","$L8",null,{"src":"/images/advice-category/science/science5.jpg","fill":true,"style":{"objectFit":"cover"},"sizes":"100%","alt":"物理カテゴリの画像","placeholder":"data:image/svg+xml;base64,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"}]}]}]}]]}]}]}],["$","div",null,{"children":["$","$L7",null,{"href":"/advice/19Gru7p3CaNS8qij","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"ひらめきが足りない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"$1b"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs","children":["東京大学理科一類"," ","ひこにー"]}]]}],["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"flex","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 6v11.5c0 2.21-1.79 4-4 4s-4-1.79-4-4V5a2.5 2.5 0 0 1 5 0v10.5c0 .55-.45 1-1 1s-1-.45-1-1V6H10v9.5a2.5 2.5 0 0 0 5 0V5c0-2.21-1.79-4-4-4S7 2.79 7 5v12.5c0 3.04 2.46 5.5 5.5 5.5s5.5-2.46 5.5-5.5V6h-1.5z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":153}],["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 3c-1.74 0-3.41.81-4.5 2.09C10.91 3.81 9.24 3 7.5 3 4.42 3 2 5.42 2 8.5c0 3.78 3.4 6.86 8.55 11.54L12 21.35l1.45-1.32C18.6 15.36 22 12.28 22 8.5 22 5.42 19.58 3 16.5 3zm-4.4 15.55-.1.1-.1-.1C7.14 14.24 4 11.39 4 8.5 4 6.5 5.5 5 7.5 5c1.54 0 3.04.99 3.57 2.36h1.87C13.46 5.99 14.96 5 16.5 5c2 0 3.5 1.5 3.5 3.5 0 2.89-3.14 5.74-7.9 10.05z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":2}]]}],["$","div",null,{"className":"text-xs rounded-lg border border-text px-4","children":"文系数学"}]]}]]}],["$","div",null,{"className":"ml-3","children":["$","div",null,{"className":"bg-caption w-20 h-20 rounded-sm overflow-hidden","children":["$","div",null,{"className":"w-full h-full relative","children":["$","$L8",null,{"src":"/images/advice-category/math/math11.jpg","fill":true,"style":{"objectFit":"cover"},"sizes":"100%","alt":"文系数学カテゴリの画像","placeholder":"data:image/svg+xml;base64,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"}]}]}]}]]}]}]}],["$","$L19","ad-on-advice-list-8",{"id":"ad-on-advice-list-8"}],["$","div",null,{"children":["$","$L7",null,{"href":"/advice/-hyul2sBTqPwDZPuOYPX","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"指数関数を解くコツは"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！\nこうしんと申します！\n\n指数関数…というと範囲が難しいので、\n最大最小問題の解き方→指数関数の処理方法\nという形で話を進めていきますね！\n\nまず最大最小問題ですが、これは方程式・関数を扱う分野で出てきます。\nこの分野の攻略方法は以下の通りです\n・文字を見分ける\n・解答法を知る\n（方程式として解く、関数として解く、不等式として解く）\n\n一つずつ説明していきますね。\n\n・文字を見分ける\n文字は、定数と変数があります。物理ではこれがはっきり決まってますが、数学では全く別の性質で、定数でさえ値を動かすことがあります。\nなので\n定数…中心にはない文字\n変数…中心に扱っていく文字（〜と解く、微分する、といった文字の中心となります）\nこれをまず見分ける必要があります。\n見分け方は、定数が「分布（どういう値をとるのか？）を知りたい文字」であるという性質がある点です。他には、定数の方が次元が高い、扱いづらいという特徴がありますね。\nこうして、変数を絞り込んでおきます。\n変数は１個にしてください。\n\n・解答法を知る\n解答法は３つに分かれます。\n\n方程式としてみる\n→解の配置（０より大小となる点を探す）・座標・対称式\n関数としてみる\n→微分してグラフを描く\n不等式としてみる\n→実数の２乗は０以上を使う、コーシーシュワルツ、相加相乗平均\n（不等式は難しいので、関数としてみた方が早いです）\n\nこれらの解答法を調べてみてください！完璧にすると対応ができます！\n\n\n最大値というのは、\n・関数がそれ以上に増えない値\n・それを満たすxが一つ定義域に存在する値\nであるという性質を持ちます。\n最小値は、反転した性質ですね。\n\nそのため最大値の候補は絞られます\n→①極大値　②区間の端\nこの2点を調べてみましょう。（最小値は反転です）\n\n最後に、最大最小を論じる際に、よく出てくる言葉があるので、それを押さえておきましょう。\n・領域→「接する時」「端の時」に最大最小\n・接する→最短距離があります、注意です\n\nポイントはこんな感じです！\nよく分かんないかもしれませんが、演習しながら見てください！意味がわかってくるはずです！\n頑張ってください！応援してます！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs","children":["京都大学理学部"," ","こうしん"]}]]}],["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"flex","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 6v11.5c0 2.21-1.79 4-4 4s-4-1.79-4-4V5a2.5 2.5 0 0 1 5 0v10.5c0 .55-.45 1-1 1s-1-.45-1-1V6H10v9.5a2.5 2.5 0 0 0 5 0V5c0-2.21-1.79-4-4-4S7 2.79 7 5v12.5c0 3.04 2.46 5.5 5.5 5.5s5.5-2.46 5.5-5.5V6h-1.5z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":20}],["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 3c-1.74 0-3.41.81-4.5 2.09C10.91 3.81 9.24 3 7.5 3 4.42 3 2 5.42 2 8.5c0 3.78 3.4 6.86 8.55 11.54L12 21.35l1.45-1.32C18.6 15.36 22 12.28 22 8.5 22 5.42 19.58 3 16.5 3zm-4.4 15.55-.1.1-.1-.1C7.14 14.24 4 11.39 4 8.5 4 6.5 5.5 5 7.5 5c1.54 0 3.04.99 3.57 2.36h1.87C13.46 5.99 14.96 5 16.5 5c2 0 3.5 1.5 3.5 3.5 0 2.89-3.14 5.74-7.9 10.05z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":0}]]}],["$","div",null,{"className":"text-xs rounded-lg border border-text px-4","children":"理系数学"}]]}]]}],["$","div",null,{"className":"ml-3","children":["$","div",null,{"className":"bg-caption w-20 h-20 rounded-sm overflow-hidden","children":["$","div",null,{"className":"w-full h-full relative","children":["$","$L8",null,{"src":"/images/advice-category/math/math5.jpg","fill":true,"style":{"objectFit":"cover"},"sizes":"100%","alt":"理系数学カテゴリの画像","placeholder":"data:image/svg+xml;base64,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"}]}]}]}]]}]}]}],["$","div",null,{"children":["$","$L7",null,{"href":"/advice/Uk7pAXkBTqPwDZPugac4","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数三独学予習"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"範囲によるとしか言えないところです。\n\n数3は複素数平面　2次曲線　極限　微分法　積分法　と範囲がそれぞれ分かれています。\n\n\n複素数平面は単独の範囲なので教科書の内容を入れたら次の範囲に進んでもいいと思いますし、傍用問題集で固めるのもいいと思います。複素数平面に関しては現役生はどうしても後の微積に時間を取られ、演習不足になりがちなので、周りと差をつける意味でも後者をおすすめします。\n(東北大はけっこうでてると思う)\n\n\n2次曲線に関しては微分法などでも若干登場はあるものの微積に時間を割くべきなので教科書ので理解で十分だと思います。入試でもこれ単独での出題はけっこう少ないです。\nこればっかりは時間をどれだけ割けるかによります。\n\n\n極限　微分法　積分法に関しては入試でも頻出分野なので、理解を疎かにしないためにも、教科書→ 傍用問題集の流れにしてください。この分野は演習量がものを言います。特に微積は大事！\n\n\n頑張ってください、応援してます。\n\n\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs","children":["北海道大学水産学部"," ","ゴーヤのツナ炒め"]}]]}],["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"flex","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 6v11.5c0 2.21-1.79 4-4 4s-4-1.79-4-4V5a2.5 2.5 0 0 1 5 0v10.5c0 .55-.45 1-1 1s-1-.45-1-1V6H10v9.5a2.5 2.5 0 0 0 5 0V5c0-2.21-1.79-4-4-4S7 2.79 7 5v12.5c0 3.04 2.46 5.5 5.5 5.5s5.5-2.46 5.5-5.5V6h-1.5z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":10}],["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 3c-1.74 0-3.41.81-4.5 2.09C10.91 3.81 9.24 3 7.5 3 4.42 3 2 5.42 2 8.5c0 3.78 3.4 6.86 8.55 11.54L12 21.35l1.45-1.32C18.6 15.36 22 12.28 22 8.5 22 5.42 19.58 3 16.5 3zm-4.4 15.55-.1.1-.1-.1C7.14 14.24 4 11.39 4 8.5 4 6.5 5.5 5 7.5 5c1.54 0 3.04.99 3.57 2.36h1.87C13.46 5.99 14.96 5 16.5 5c2 0 3.5 1.5 3.5 3.5 0 2.89-3.14 5.74-7.9 10.05z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":4}]]}],["$","div",null,{"className":"text-xs rounded-lg border border-text px-4","children":"理系数学"}]]}]]}],["$","div",null,{"className":"ml-3","children":["$","div",null,{"className":"bg-caption w-20 h-20 rounded-sm overflow-hidden","children":["$","div",null,{"className":"w-full h-full relative","children":["$","$L8",null,{"src":"/images/advice-category/math/math13.jpg","fill":true,"style":{"objectFit":"cover"},"sizes":"100%","alt":"理系数学カテゴリの画像","placeholder":"data:image/svg+xml;base64,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"}]}]}]}]]}]}]}]]}]}]]}]}]