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UniLink"}],["$","meta","3",{"name":"description","content":"2次関数が本当に苦手で困っています。平方完成などは出来ます。ですが出来るだけでそこからどう問題の答えに持っていくかが分かりません。特に、場合分けする問題や「グラフがX軸より右側にある場合〜」みたいな問題が苦手です。拙い文章ですみませんが大学受験に向けて克服したいので2次関数についてや2次関数の理解を深めるためにやるべきことやを教えてください……。"}],["$","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"] 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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"] 1a: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"] 19:Td83,はじめまして! 回答させていただきます。 質問を見てまず思ったのが、数学を暗記科目だと割り切っているからなのかもしれないです。恐らく、日頃問題を解いたら解答を見て解法を丸暗記しているのではないでしょうか?だから直近でやった問題はすぐ解けるけれど、見たことがないタイプの問題に出会った時に何をすればいいのかわからなくなるのだと思います(全然違ったらごめんなさい)。 もしそうであるならば試して欲しいことがあって、覚える内容を少し抽象化するということです。例え解いた問題を時間が経ってもすぐに思い出せる状態になったとしても、先のように見たことがないタイプの問題に出会ったら結局何をすればいいのか分からなくて手が動きません。なので、解いた問題の解法を丸暗記するのではなく、「なぜその解法になったか」を覚えるようにした方がいいです。 少し具体的に説明します。ゆうさんは二次関数で手こずっているとの事なので、二次関数について話します。恐らく問題を見た時に、軸で場合分けをすべきか切片を求めるか、はたまた頂点の座標を出すべきか分からなくて手が止まるかと思います。そこで、日頃から、「なぜこの問題は軸で場合分けしたのか」「どうしてこの問題はまず切片あるいは頂点を出したのか」を意識して解答を読むと、その時の思考回路が実際に問題に出会った時にも使えるようになります。 その解法を選択した理由が分かれば、自分が問題に出会った時に最適な解法を導き出せるというわけです。もちろん当てずっぽう解法を試してみてそれで解けることもありますが、試験本番でそんな博打したくないですよね。試験で常に結果を出せる人は博打には頼らないです。 「抽象化をする」ということには別のメリットもあります。 それは、暗記量が減るということです。確かに二次関数はアプローチ方法が何個もあります。ですが、この「アプローチ」を一通り頭に入れてしまえば、解けない問題は無いと思います(私自身がそうでした)。もちろんその「アプローチ」というのは問題毎に解法を丸暗記することではなく、「なぜその解法を選んだか」を理解することから得られる思考回路のことです。ゆうさんがどのような教科書を使っているのか分かりませんが、大抵の参考書は二次関数はアプローチ事にまとめられています。比較的勉強しやすいかと思います。 色々書きましたが、少しはお役に立ちましたでしょうか? もしかしたら的外れな回答をしているかも知れません。その時はごめんなさい。 ただ、まだ高1なのにそこまで高い意識で勉強できているのは素晴らしいと思います。適度に息抜きをしながら頑張っていってほしいです。 もし分からないことやもっと聞きたいことがあれば、気軽にコメントやメッセージをしていただければと思います。 頑張ってください!1b:T19f9,こんにちは、僕も高1の頃は定期テストで0点を取るほど数学がダメダメだったので、数学への苦手意識はとても共感できます🥲 しかし以下のような勉強をすることで最終的に数学を武器に合格できたので、お伝えしようと思います! 苦手意識がある高校1年生ということで、過去問とかをやる段階ではないと思うので、割と基礎的なほうの段階についてお伝えしようと思います。 大前提を先に言います。 ①「どんな問題も、解く過程を全て紙に書いて、記述する」 二次関数の頂点を求めよといっためちゃくちゃ基本的なものでも面倒ですが絶対に途中過程を書いてほしいです。 ②「正解した問題は別解を考え、間違えた問題はできるようになるまで繰り返し続ける」 解く引き出しを増やし、解けない問題を無くしましょう。 模試でも同じで、復習の際には、解けなかった問題は絶対に解けるように、合ってた問題は別解がないか考える(楽しみながら!)ことを大切にしてほしいです。 ③「計算ミスは実力だ!!」 計算ミスだから、といって放置しないことです。計算ミスをしたら、どこでミスしたのか探して、最初から解き直しましょう。仮に共テや二次で計算ミスしたら命取りです。本当に数十点飛びます(経験あり)。 ④「解説見てもわからなかったら人に聞く」 学校の先生でも、数学できる友達でも、塾の先生でも、だれでもいいので、わからなかった問題は質問しましょう。放置しないことです。ただし、聞く前に自分で考え抜きましょう!!それでもわからなかったら聞きましょう👍 (1)やった参考書について (2)意識すること (3)これで到達するレベルはどれくらいか (1) まず基礎問題精講をやってみましょう。こんな簡単なのやる意味ある?って思っても、意外と解けない問題ってあります。そういう問題を解けるようにしましょう。基礎問題精講に関しては解けない問題は一個もない!全問すぐに解答を書き上げられる!っていう状態にしましょう。 次に青チャート、FocusGoldといった網羅系の参考書です。これもとても重要で、この先難問に当たったとき、「考える」ための「引き出し・手段」として、必ず身につけなければならないものばかりです。絶対に完璧にしましょう。仮に数学が偏差値60くらいあるとしても今一度やり直してほしいです。意外と解けない問題、あります。 ここは何周もしてほしいです。(ぼくは高2のときに青チャート1A2Bを全問3周しました、このおかげで数学偏差値49→73になりました) 面倒ですよね、、、けど受験勉強は気合いが大事です。やるしかないのでやりましょう。例題と練習問題がありますが、全部やりましょう。 青チャートは、高2,3になっても、模試で苦手分野がはっきりしててー、っていう場合にその分野を全問解く、などしましょうね!!基礎は本当に大事です。 次に1対1です(僕は挫折してしまいました)。 結構難しいです。1A2Bのうち、AとBはいらないかなーと思いました。正直ここは全部やりきれなかった、、でもいいと思います。しかしやれば得られるものはとても大きいです。たとえば、引き出しがとても増えるし、計算が重いので計算力がつきます。ぜひやり抜きましょう。例題と演習題がありますが、他の科目とのバランスがとれるようなら演習題もやりましょう。 (2) ①「本質」「定石」のようなものを意識してみましょう。 たとえば、「二次関数のグラフとx軸の交点は、二次方程式の解」「確率はすべてのものを区別する」「図を描いて考えてみる」「二次関数に帰着する」「〇〇=tと置いたら変域を考える」などです。これは、基礎的な段階でも意識してほしいし、その先の段階(旧帝の入試問題など)でもずっと意識すべきことです。こういう基本的なところで大きく差がついてしまいます。 ②上に挙げたもの“だけ”をやってると、飽きます。そしてつまらなくなります。そんなときは、入試問題や模試の過去問を解いてみましょう。オススメなのはセンター数学です!(共テじゃなくてセンター!) センター数学は基礎力を測るにはとてもいいものです。たまーにやってみましょう。時間も計りましょう。ここで注意点ですが、選択問題もありますが、時間測るときは選んでいいですが、その後選ばなかった問題も解きましょう!大きく意味があるものになります。 ③目的意識を持って勉強しましょう。「受かるため!」というものではなく、たとえばこの勉強であれば、 「苦手分野をつぶす」 「応用問題を考えるための引き出しを増やす」 「基礎を固める」 といったものです。 ④「引き出しを得る」ためのものですが、基礎的な問題、特に二次関数以降の分野においては、常に「考え」て解きましょう。①を意識するような感じです。 ⑤細かいことを意識しましょう。たとえば、 「分母に文字や式が出たら、分母が0にならないか確認する」 「〇〇=tとおいたとき、変域を書く」 「判別式は二次方程式にしか使えない(2次の係数が文字のとき、(文字)=0のときを確認しているか)」 などです。今の段階から意識しましょう。こういう細かな点が、入試や模試の採点の大事な要素となっていますし、数学を「考える」大事な要素です。 (3) ここまでやれば、進研模試でいえば偏差値70〜75まではいきます。旧帝大のやや易〜標準レベルの問題を、時間はかかるけど解けるようになります。一橋志望ということでもっと高いレベルを目指してほしいですが、焦らず、まずは基礎を固めることです。地に足つけて、ぜひ頑張ってください。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=S1Jl0IIBTqPwDZPue86K","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 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whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"2次関数が本当に苦手で困っています。平方完成などは出来ます。ですが出来るだけでそこからどう問題の答えに持っていくかが分かりません。特に、場合分けする問題や「グラフがX軸より右側にある場合〜」みたいな問題が苦手です。\n拙い文章ですみませんが大学受験に向けて克服したいので2次関数についてや2次関数の理解を深めるためにやるべきことやを教えてください……。"]}]]}],["$","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_Oou0tJz4wTbzaJ6HpZzQAgIh9GZ2.jpg?alt=media&token=690b2ef6-c85b-45da-9920-7d340e4fc684","adviserName":"yuya","adviserDepartment":"東京工業大学物質理工学院","adviceId":"S1Jl0IIBTqPwDZPue86K"}]}],["$","div",null,{"className":"coach-mark mb-4","children":"すべての回答者は、学生証などを使用してUniLinkによって審査された東大・京大・慶應・早稲田・一橋・東工大・旧帝大のいずれかに所属する現役難関大生です。加えて、実際の回答をUniLinkが確認して一定の水準をクリアした合格者だけが登録できる仕組みとなっています。"}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap mb-4","children":[["$","div","advice-part-0",{"children":[null,"ここで図を使って説明するのが難しいので二次関数の克服に向けてやってほしいことを書きます!\n\n二次関数がわからないうちは全てグラフ化してください!平方完成ができるということはグラフは正しく書けると思います🙆‍♂️とりあえず与えられた関数のグラフを書いてみましょう!\n\nただ、二次関数のグラフを書こうとしてもx.y以外の文字が入っていてグラフが書けない場合は場合分けが必要な事が多いです!\n\n【やること】\n文字で説明してもなかなかわかりにくいのでやってほしいこととしては、youtubeやスタサプなどで場合分けのグラフを丁寧に書いてくれている先生の授業をみて下さい。そして「なぜそこで場合分けするのか」に注意して考えながら自分でも問題を解いてみましょう!\n\n\n一度理解すればそんなに難しいものではないのでゆっくり勉強しましょう!どうしてもわからない場合は連絡をくれればもう少し詳しく説明します!"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_Oou0tJz4wTbzaJ6HpZzQAgIh9GZ2.jpg?alt=media&token=690b2ef6-c85b-45da-9920-7d340e4fc684","adviserName":"yuya","adviserDepartment":"東京工業大学物質理工学院","adviceId":"S1Jl0IIBTqPwDZPue86K","numberOfFan":143,"clipsAvg":11.77319587628866,"adviceRateAvg":4.7554945054945055,"profile":"【経歴】\n公立中学→私立滑り止め高校(都立落ち)→現役東工大→東工大大学院→来年度就職\n\n「受験期に無理な勉強やストレスで何度も体調を崩しました。自分のような人を減らせるように受験生の力になりたいです。」\n\n「ファン」→「メッセージ」で相談乗ります❗️\n連絡ください🙆‍♂️\n※現在指導は募集していません"}]}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"共テ数学半分とるには"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"2次数学との間"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは。九大医学部のものです。2次数学の問題を解けるようになるためには、ある程度の慣れと深い理解が必要になってきます。\n\n問題には大抵決まった形式があります。点の存在範囲の問題であったり、漸化式の問題であったり、それらはある程度パターン分けすることができます。\n\nそれらを経験していくことが大切になってきます。\n\nそのためには、問題のパターンをある程度知る必要があり、多く良問を解いていくことも必要です。\n\n私は月刊大学への数学であったり、過去問を解いたりしていました。\n\nしかし、完全に暗記すれば良いという訳ではありません。定石を知り、自身で定石を考え、問題を分析すると同時にその論理展開が何故なされたのかということを自分で考えることが大切になります。そうすることで、様々な問題に対応できます。\n\n2次数学をとくには実践的に問題演習をして、その問題について分析することが必要不可欠だと思います。\n\n頑張ってください!"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"授業についていけない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":" 勉強お疲れ様です!私は高2まで国文志望だったので、数ⅡBまで勉強しました。理系ではないので参考程度に読んでもらえると嬉しいです。\nまず、私は質問者さんの今の状態から、内職をするべきではないと思います。以下に二つ理由を挙げますね。\n一つ目は、今数Ⅱの授業を聞かずに数Ⅰを内職していたら、いつ数Ⅱを勉強するのか?と思ったからです。私は数学が得意なほうではありませんでしたが、数ⅡBは問題が解けるかどうかの前に、定義を理解するまでに時間がかかったりします。絶対授業は聞いておいたほうがいいと思います。ただ数Ⅰが必要なことには変わりありませんし、高2とのことなので、ここはあきらめて、これからしばらくは数学に専念するようにしましょう!高2のうちには数学と英語を固めておくのがおすすめです。特に理系であれば、数学は本当に大切です。苦手な分野を最優先にして、積極的に数学に触れるようにしてください。\n二つ目の理由としては、内職をしていると、本当にわからなくなったときになかなか先生に質問できなくなってしまうことです。塾などに行っていないと質問は学校の先生が多くなりますが、そういう時に話を聞いていない生徒に快く教えようという気にはなりにくいですよね…。これは私自身が後悔していることでもあるので、ぜひ授業は集中して聞くようにしてみてください。そしてわからないときはどんどん質問しに行ってくださいね!\n少しでもお役に立てたらうれしいです。応援しています!"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学を得意科目に"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"はじめまして!\n\n解答を見ても解き方がわからない場合は、その問題が自分のレベルにあっていないのかもしれません。もう少しレベルを落として、自力では解けないけれど、解答を見たら理解できる問題(同じ分野のもの)に取り組んでみてください。\n\n\n様々な問題に対する向き合い方についてまとめてみました!\n\n1.解答を見ずに自力で解ける問題→既に身についているから何度も解く必要はない。\n\n2.自力では解けないけど解答を見たら理解できる問題→解答を見て理解した上ですぐにもう一度といてみる(解答を見ずに)。数日後、自力で解いてみる。これで解けたらもう身についています!解けなければ、もう一度解答を見て解く、数日後自力で、、、を繰り返す。\n\n3.解答を見ても理解できない問題→自分のレベルにあっていない可能性があるので、レベルを落とした問題に取り組んでみる。また、解答の中で分からない部分はどこなのかを明確にして、学校の先生や塾の先生に質問する。\n\n自分のレベルアップに大きく貢献するのは、2の問題です!この問題をきちんと自分のものにしたら、次のテスト等で出題されたら自力でとけるはずです!\n\nただ、やみくもに解答を丸暗記するのでは意味がありません。(似た問題への応用の幅が狭くなってしまいます!\n)\n\n解答を見て理解する際には、解答の中のポイントをしっかり掴むことが大切です。\n\n例えば絶対値と整数が等式で結ばれた方程式を解く際は、両辺を二乗して解きますね。この場合、「絶対値の計算では二乗する」ことがポイントです。\nもちろんひとつのことに対してポイントがひとつとは限りません(むしろ、たくさんポイントを持っているととても強いです!)。\n\nまた、人によってポイントと思う部分は違います。自分がポイントだと思ったところにに蛍光ペン等で線を引いて、そのポイントを覚えてください!\n\n数学は覚えるだけでなく、多様な問題を沢山解くことで徐々に力がついて行く科目です。勉強し始めてすぐには結果は出ないと思います。\n\nですが、あきらめず地道に頑張ってください!絶対にいつか結果になります!!\n\n\n時間は有限なので限りある時間を有効に使いましょう!\n\n応援しています。頑張ってください!!"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"2次文系数学"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"今から述べる方法は恐らく正攻法ではありません。ということを頭に入れて読んでください。\n実を言うと私も同じような境遇にいました。しかし文系数学ならば、突破方法があります!\nそれは数学は暗記科目作戦です。\n何かと言うと文字通り数学を暗記科目にするのです。例えば上に凸の二次関数で、特定の範囲内の最大値、最小値を求める問題が出た時、どのように解いてますか?考えることなく解答がかけますよね??\nこれはこの問題を暗記しているということです。\nこれと同じ要領で毎回毎回出会った問題を全て暗記していけば文系数学は大丈夫です。\n恐らくそれが出来たら苦労しないよ…と思うかもしれません。そこで、私がやっていた方法をご紹介します。まずわからない問題は解説を読んで覚えようとします。次にその解答のページに付箋を貼ります。そして三日後に付箋があるページの問題を解きます。解けたら暗記完了です。解けなかったらまたやり直してください。この繰り返しで数学は暗記できます!\n拙い文章ですみませんでした。応援しています!\n\n追記\n横国はセンター大事だから頑張ってください!"}],["$","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 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