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解説見たら分かる」に関するUniLinkの質問と回答を一覧で確認できます。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。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。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。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。"}],["$","link","4",{"rel":"icon","href":"/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","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 14:I[3866,["212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","171","static/chunks/app/search/%5Bquery%5D/page-0c24408cf8b6c627.js"],"AdOnAdviceList2"] 13:Tbd8,はじめまして。 私も受験で数3を使いました。 大前提として、数3は発想力よりも教科書レベルの問題をいかに使いこなすかというところが大事です。極端な話、教科書に載っているあらゆるパターンの問題をすべて完璧に解けるようになれば入試のほとんどの問題が解けるのです。 質問を読んで学校で数3の授業を受けないことによる懸念点を2つ挙げます。 ①塾の授業のみで必要な知識を網羅できるのか。 ②数3の勉強時間が十分に取れるのか。 まず、①については塾の授業は基本的には頻出問題などを中心に演習を行うことが多いため、すべての内容を網羅できていない可能性があります。基礎の網羅的な勉強として学校の授業を受けることは有効だと思います。ただ、これに関しては塾の授業の方針や授業時間にも左右されるため、これまで受けてきた塾の授業を振り返ってみて塾のみでも内容に抜けがなさそうか判断してみてください。 次に②について。これまで定期テストに向けての勉強もしてきたと思います。定期テストの勉強は基礎的な内容を一通り確認し定着させることができるため、この時間が無くなるというのは望ましいことではないです。 ここまで学校の授業を受けない懸念点を書いてきましたが、学校の授業を受けることにおいて1つ気になったことがあります。高３で数3のある2類とありますが、数3を習い始めるのが3年生ということでよろしいでしょうか。その場合、東工大を目指す上ではかなり遅れをとっていると考えた方がいいと思います。東工大を目指す生徒いる多くの高校では2年生の後期には数3を始めています。私の高校も高2の前期に数3を始めて高３に入る頃にはほとんど終わっていました。そして高３の数学の授業はほとんど入試問題演習を行っていました。 もし、学校の授業では高３で数3を習い、塾ではもっと前から習うのであれば学校での授業は受けなくてもいいと思います。その代わり自分でもしっかりと演習量を確保してください。 一方で学校も塾も高３に入ってからしか数3を習わないのであれば、3年生に上がるまでに数学1A2Bを入試問題に取りかかれるようなレベルまで仕上げておくか、数3の予習をしておくかして3年生になったら学校と塾の両方で一気に数3を固めるのがいいような気がします。 ①②の懸念点を考慮した上で学校と塾の授業進度によって判断してください。 まだまだこれから悩むこととあると思いますのでいつでも相談お待ちしております。勉強頑張ってください。15:Te64,受験勉強お疲れ様です。 結論から述べると、目的と段階によりますが、基礎問題精講と1対1シリーズの2冊で、基礎から標準レベルの、数学Ⅲの一通りの解法パターンは習得できる(※ただ基礎問題精講だけでは解法パターンは網羅できていないかな)と思いますし、一旦まず数Ⅲを一通り学習するというのであればそれで十分ですが、東工大を目指す上では別の観点から、多少馬力不足な気がします。また数Ⅲを学習する際は、数Ⅲの性格をよく知った上でやるのが効率も良いですし、得策かと思われます。僕の受験体験から数Ⅲに関して2点特徴を挙げます。 1点目、入試問題の数Ⅲは、おおよそ、傍用問題集に乗るような基礎的標準的な問題から、誰も完答できないような難問奇問まで多岐に渡ります。数1A2Bの場合には難問奇問はあまり出ません。ですが、最難関大を狙う学生たちはやはりレベルが高いため、難度の高い問題(過去問で言うレベルCやD)でも部分点ぐらいは狙ってきます。ですので、標準問題を反復するだけでは足りません(もちろん標準問題の反復は大事ですが)。もしAkiさんが一通り数Ⅲの標準問題を解けるようになったのなら、少し難度の高い問題や思考が必要な問題にも触れる必要があります。 2点目、数Ⅲは1A2Bに比べて計算量が著しく多いです。特に東工大は工業大学であるがゆえ、数Ⅲの出題では極限と微積が大部分を占めており、計算量も日本のどの大学に比べても類を見ないほどです。その一方で、基礎問題精講や1対1、チャートなどは解法パターンを習得することに主眼を置いているため本物の入試数学(特に東工大の数学)とは少々趣が異なります。つまり計算は軽めです。 以上2点からアドバイスを述べますと、基礎問題精講と1対1で解法パターンの習得は十分です。チャート式などに手を出す必要はあまりないと思われます。それよりかは、東工大レベルの息の長い計算力と思考力を少しでも鍛えるためにも、上記2冊で解法パターンの習得が済んだのならば少し上のレベルの問題を解く方が良いです。おすすめとしては、それこそ東工大の過去問に触れてみるのが一番手っ取り早いです。もちろん受験生の身としては過去問は残しておきたいのも分かりますが、結局は過去問は直近の5〜10年ぐらいをやれば十分ですので、直近10年だけ残しておいてそれより前の過去問を問題集のように解くのが得策です。他には上級問題精講・やさしい理系数学(←簡単ではない)、理系プラチカ数Ⅲなども東工大等の最難関大受験生にはおすすめです。これらの少し上のレベルの問題を解くことで負担の大きい計算力と息の長い思考力を鍛えましょう。 ちなみに1A2Bは難度の高い問題ばかりを解くよりは標準的な問題をこなす方が良いです。 長ったらしく拙い文章で申し訳ありませんが、僕のアドバイスが少しでもためになれば幸いです。 東工大の数学はやはり難しいです。ですが、そのレベルの高さにめげずに、むしろ数学極めてやるぐらいの勢いで、晴れて合格を掴み取って欲しいです。頑張ってください！16:Tf4e,こんにちは！東京大学１年しんです 進研模試の(3)が解けないということでしたが、別にそれは恥ずかしい話でも何でもありません！私自身、進研模試のような模試でも最後まで解ききれない大問もありましたが、諦めず演習を重ねて何とか東大の入試問題(理系)でも戦えるようになりました。まだ、高一ということもあるので、投げ出さずじっくり取り組んで欲しいと思います。私なりにいくつかアドバイスをするので参考にしていただけたら嬉しいです！ まず、青チャートを3、４周しているということですが、正解した問題を3、４周する必要はありません。それなら他教科の勉強に時間を使った方がいいと思います。間違えた問題にマークをつけたり、付箋を貼ったりして、間違えたものだけ解き直すようにしてください。 また、青チャートの例題だけを解いているということですが、青チャートの例題はその下に解法がのっているので、その解法を見ずに解き進めてください。解法に目がいってしまうなら、例題の下の練習問題を解くようにしてください。私は、例題を解いているとどうしても模範解答をちらちら見てしまって、いつまでたっても自力で答案を作れなくなるタイプだったので、練習問題を解いていました。 私の場合はちょっとペンを動かしながらいろいろ考えてみて、五分くらい経って解法が浮かばなければ、解答、解説を見るようにしていました。青チャートでやっていることは解法のパターン暗記なので、ずっと一つの問題に悩むというよりは、問題を見てすぐに解法が思いつく&実際に完璧な答案を書ける、という状態を目指して何度も反復していました。 量に関してはチャートを３、４周やっているなら十分すぎるくらいだと思います。むしろ、数学だけに勉強量が偏っているなら、英語とか、他の教科にもバランスよく時間を割いてください。 チャートをやっていて解けない問題が少なくなってきたなと思ったら、章末問題、エクササイズなども取り組むといいと思います。意外と難しくて、力がつきます。 青チャートが終わったら赤チャートをやるの？などと思うかもしれませんが、赤はやらなくていいと思います。というか、青チャート以上のものをこの時期にそこまでやる必要はないと思います。 数学を極めたいというのであれば別ですが(そのときは私はあまり参考にならないかも)、スタンダードに合格を目指すのであれば、高2までに青チャートを完璧にして、高３からプラチカ、一対一、過去問などに取り組んで盤石にするというのがいいかと思います。数学特化型はやはり成績的に不安定になりやすい(一般的に英語などの方が安定しやすい)ので、どの教科もまんべんなく今の時期は基礎を固めることが大切だと思います。 さいごに いろいろ書きましたが、分からないことやうまくいかないこともあるかと思います。私自身のアドバイスも一個人的な意見に過ぎないので、いろんな人の意見を聞いて自分にあったやり方を探してください。また、伸び悩んだときは、このアプリや学校、塾の先生など、自分の信頼できる人に相談して解決するようにしてください。正しい努力をすれば成績は必ず伸びます。 がんばってください！応援しています。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-6","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/xmlqqjx3","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":["「","数Ⅲ 解説見たら分かる","」の検索結果"]}],["$","div",null,{"className":"border-b-2 mb-2"}],["$","div",null,{"className":"mb-4","children":["$","div",null,{"className":"divide-y","children":[["$","div",null,{"children":["$","$L7",null,{"href":"/advice/4lEdlX0BTqPwDZPuymBG","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数Ⅲについて"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"この質問に素直に答えるなら余裕で習得できるよ🙆‍♂️\n\nただ、前提として1A2Bが正しく理解できている必要があるよ！\n数3の範囲について少し説明するね。\n\n\n①平面上の曲線\n楕円とか双極線っていう、円の上位互換みたいなやつが出てくるよ〜。\n→数2の図形と方程式の応用だからそこがしっかり出来てないとダメ🙅‍♂️\n\n\n②複素数平面\n複素数を図形的に扱っていく単元だよ！図形を回転させれるようになるね🙆‍♂️\n→数2のいろいろな式の範囲の複素数がマスター出来てないと🙅‍♂️\n\n\n③関数と極限\n数2指数関数、対数関数、三角関数、数B数列ができたら、それを無限大までビヨーンって伸ばすとどうなるのってお話しだね。\n→上に書いた単元はマスターしよう！\n\n\n④微分\n今までの微分より関数が複雑になっていくよ！でもパターンがあるから網羅できれば大丈夫👌\n→数Bの微分をマスターしておこう！\n\n\n⑤積分\n体積とか曲線の長さを求められるようになるよ🙆‍♂️簡単ではあるけど計算が面倒になるから計算力も必要！\n→数Bの積分をマスターしておこう！"}],["$","div",null,{"className":"flex mb-1","children":[["$","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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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学ⅢとⅠAⅡBの応用について"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！\n\n結論から言いますと、数3が完全に1a2bの全ての範囲の復習になるかと言いますと、そうとはいえません。数3は数1,2の復習にはなると思うので、数3をしながら数1,2の基本が足りないと思ったらそこに振り返る、というのがベストだと思います。特に、数3は数Aの内容をあまり含んでいません(含むとしても、確率の一部程度)。ですので、数3をメインでしつつ、数Aの復習はした方がいいと思います。\n\nまた、数Bに関してですが、数列は極限という単元でかなり復習できます。しかし、ベクトルに関してはほぼほぼ扱いませんので、ベクトルは定期的にやっていきましょう。図形的な分野を中心にやるといいと思います。\n\n数3はかなり難しく、骨のある分野が多いです。微積分は特に量が多く、つまづく部分も多いと思います！ですので、できるだけ数3は早くから取り組み、時間をかけて定着させていきましょう。\n\nここまでをまとめると、\n・数3は数1,2、Aの確率の一部、数列の復習となる。\n・数Aの確率、整数は含んでおらず、定着に時間がかかるため、別でやっておくのがよい。\n・数Bのベクトルもほぼほぼ含んでいないので、図形的な分野中心にやっておくのがよい。\nです！頑張ってください！！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"先取り数学の教材"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"まずは焦らずⅠAⅠⅠBをやりましょう。最低でも青チャートレベルの問題の9割はスラスラ解ける程度になるまでは数Ⅲには触れなくていいです。\n(もし既にそのレベルに到達してる場合は※まで飛ばして読んでください)\n\n数Ⅲは最初こそ難しいものの慣れてしまえばパターンが少ないため解きやすく、僕も僕の周りもⅠAが1番難しく次にⅠⅠB、1番簡単なのは数Ⅲと言ってます。\nちなみに数学が得意な人ほどこのように言う傾向が強いです。\n\n数学がある程度得意なのであれば数Ⅲはさほど苦戦しません。それよりベクトルや整数などの曲者の方が苦戦する人が多いです。\n\n2次試験にも数ⅠAⅠⅠBは出るので先にそちらを極めてから数Ⅲに入ることをおすすめします。\n\n※数Ⅲをやるのであれば個人的にはFocus Goldをおすすめします。\n僕が現役時代使ってた問題集なので偏った意見になってしまうかもしれませんが、解説が丁寧で各単元の頭の部分に重要事項がまとめてあり、独学で勉強するのであれば、かなりオススメです。\n\nそれとウェブサイトで積分ガチャと調べると出てくるサイトがあります。\n積分に入り積分の基礎を固めたいと思ったらこれを毎日やることをおすすめします。(4)までは東大を目指すのであれば解けるべき問題です。\n\n拙い文章ですみませんでした。\n参考になれば幸いです。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"新高2 数III黄チャートと数II1対1の比率"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"新高2で数3に入れているのは、十分なペースだと思います。高一の春に数3一周終わってるとか、まじでどうでもいいとおもいます。それで焦って急いで数さんを一周するのは、よくないとおもいますよ。自分は地方の中高一貫の私立高校に通っており、塾に通っていなかったので、数3を始めたのは、高2の夏ぐらいからでしたが、十分間に合いました。数1,2はある程度仕上がってるとのことなので、そんなに急がなくていいと思います。\n\n自分も黄色チャートと一対一使ってたので、参考までに自分がどのように使ってたのか記します。\n\n学校で教科書の解説と傍用問題集の演習をしているときに、それと別途で週末課題として黄色チャートのpracticeと exerciseをやってました。それが終わると、チャート卒業して、学校の授業でオリジナルスタンダードという、少し難し目の教材をつかい、それに並行して一対一が週末課題になってそれを全部やっていくという感じでした。\n\n黄色チャートは本当に基礎なので東大いくなら全部こなすのがあたりまえです。ですが一対一は確かに基礎ではあるものの、かなり2次試験を意識してある問題集なので、そこそこきついとはおもいます。ですからこれらを並行してやるのはいいとはおもいません。黄色チャートで、もう完璧だと思えるほどちゃんとやったあと、一対一に移ればいいとおもいます。自分はこうさんの春ぐらいから一対一やりましたが、2か3周はできます。ですから急いで一対一するより、チャートしっかりやってからの方がいいとおもいます。\n\nちなみにですが、難関大の数学の入試において差がつくのは1A2Bです。数3はある程度定型問題になりがちなので、数3の小問は満点狙いで行きましょう。だからこそ数3完璧と思えるほどきっちり仕上げることが大事だと思います。\n\nまとめると、黄色チャート完璧にしたあと(もう戻ってくることはないだろうと思えるぐらいのレベル)一対一に移れば十分だと思います。焦らずじっくりやってください。高2の初めで数3入れてるのは本当にいいペースです。頑張ってください。"}],["$","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 .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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学基礎"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"文系ですが、数3は一通り勉強していたのでお答えします。\n数3に限らず、受験数学全般において基礎が完成するとはとは「チャートレベルの問題が」「見た瞬間に解法が分かり」「どういう理由でその解法になるのかが理解できている」ことだと私は考えています。\n\nいわゆる入試レベルの数学の問題で必要なスキルは、「自分の頭で解法を考える」ことですが、これを実現するには基礎レベルの解法を組み合わせ、また自分で基礎レベルの解法を発展させる必要があります。そのためには瞬時に解法を思い出し、発展させるためにその解法の原理を理解している必要があります。\n\n気をつけなければいけないのは、解法を丸暗記にしないことです。先程述べた通り、解法を発展させるには原理そのものを理解していないと不可能だからです。全ての模範解答に「どうしてそうなるのか」という疑問を持ちましょう。その疑問が解消されなければあなたはその解法の原理を理解していないのです。じっくり考え、それでも分からなければ先生に質問しましょう。\n\nまずはチャートのどのページを開かれてもスラスラと解答できることを目標としましょう。まだまだ時間はありますから焦らず確実に勉強していくことをお勧めします。\n\n長文駄文失礼しました。これからのご健闘をお祈りすると同時に、いつかあなたと京大でお会いできることを楽しみにしています‼︎"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"東工大志望 数Ⅲ積分勉強中の焦燥感"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！たこしです。まず、間に合うかどうかという質問ですが、十分間に合うと思います！おそらく、この時期にすべての範囲が完璧な人は少なく、今から本腰をいれて勉強に取り組もうとしている人もいると思います。私は学校の進度と同じペースで勉強していたため、余裕ではありませんでしたが、遅すぎたなという印象はあまりなかったです。そのため、焦らずに着々と進めていけば、進度に関しては問題ないと思います。ただ、早く終わらせるに越したことはないので、無理しない範囲で進めるとあとが少し楽になります。\n\n私の場合、公立高校に通っており、学校の進度がそこまで早くない学校でした。そのため、この時期はももさんと同じか、それよりも遅かったと思います。数学Ⅲの微分積分については、まったくと言っていいほど解けませんでした、、、。私から見ると、「今の時期に数学Ⅲの積分に入れていて、間に合うかの心配ができるのはすごいな～」と思います((´∀｀))\n数学Ⅲ、Cが全て終わったのは、7月ごろでした。ただ、終わったといっても複素数は軽く基本事項を説明される程度、微分積分に関しても計算ができれば大丈夫といった感じでした。そのため、そこから自分で演習を重ねて、定着させました。\n\nこの時期は、終わっていない範囲に目を向けるのではなく、終わった範囲を完璧にするということに注目しましょう！私は、この時期、苦手な範囲をなくすということを意識していました。例えば数学Bは圧倒的に演習量が足りていなかったので、演習を積みました。共通テストなども使いながら、数学Ⅲが演習できない分、そのほかに時間を当ててました。ただ、数学Ⅲにも手を付けなったわけではなく、基本的な計算はミスのないようにとけるくらいまではできるようにしました。\n\nそのため、数学Ⅲが一通り終わると、死ぬ気で数学Ⅲを演習しました笑。夏休みに解いてみた過去問は数学Ⅲの部分はほとんどわかりませんでした、、、ただ、Ⅲ以外はわからなすぎるということはなかったため、「このまま数学Ⅲをやっていけば大丈夫かな」といった感じの心持でした。\n\n数学Ⅲは演習量が必要なので、早く終わらせられれば、終わらせたい範囲です。ただ、数学Ⅲはこれまで扱った内容とも、リンクする単元でもあるので、これまでの範囲がちょっと心配かなと思ったら、戻ってみてもいいと思います。そこの塩梅を自分の中で試しながら勉強頑張ってください！！"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"いつまでに数３に入らなければいけないのか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんばんは！\n\n数3は、比較的暗記系の勉強が必要になると思います。ですので、理解せずともとりあえずこうやれば解ける、という感じで勉強を進められるならば数1A2Bの基礎をを一通り学んだら、それらの復習と並行して数3の基本的なことを教科書や青チャートで勉強し始めてもいいと思います。(独学でいけると思います)\n\nもし、しっかり理解しながらじゃないと問題は解けない、と思うなら数2あたりでやる、微分積分、三角関数あたりをひたすら深く理解して学校や塾で習う時を待ちましょう。自力で先に進めたい場合は青チャートか赤チャートがおすすめです。\n\nいつまでに始める、というのは難しいところですが、志望校が高いので高2の夏頃に入るのがいい気がします。高3の夏に全ての分野の学習が済んでいて、受験レベルの問題に取り掛かれることが望ましいので高3の夏休みより前にマスターできるように逆算してみてください。\n\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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"法則が掴みづらい数列の一般項を求めるコツ"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"このような問題のコツは「階差数列を考えること」です。特に、1段階でダメなら2段階、3段階と階差をとって行くことで解けることがよくあります。ぜひ試してみてください。\n\nところで実は、このような問題は基本的に大学入試では出題されません。出題されたとしたら、それは出題ミスに類するものです。その理由は出した答えが必要十分条件になり得ないからです。\n\n例えば\n\n2,4,6,‥\n\nのような数列があったとしましょう。確かにこれだけだとAn＝2nの数列のように思えます。しかし一方でこれをフィボナッチ数列だと見ることもできてしまいます。つまり、\n\nA＿n+2＝A＿n+1＋A＿n、A₁＝2、A₂＝4\n\nという漸化式で定まる数列と見ることもできるわけと見ることもできるわけです。\n\nということで答えが一つに定まらないということがあります。なので大学入試での出題はほとんどありません（新潟大が出題していましたが、かなり批判されていました）。ですから、この手の問題が解けないことはあまり問題にならないことが多いです。なのであまりこのような問題に固執せずに、数列の単元であれば例えば漸化式の解法であったり、群数列に慣れることであったりに注力した方が数学の点数に対する貢献度は高いと思います。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学　難問"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"私はそのような問題の解説を読むとき\n\n・なぜここでその公式を用いようと思ったのか\n・なぜ他にも可能性が考えられる方針ではなく、その方針にしたのか(どこがポイントで方針が決められたのか)\n\nを考えながら読み、自分でルーズリーフにまとめて書いていました。\n\nまた、長期休みなどの区切りの時期にそのまとめた問題を全部解き直しし、何も見ずにその問題たちが解けるまで何回も繰り返していました(これは解法暗記になってたかもしれないですが、類題に気付きやすくはなったので、損はしてないかなと思います！)。\n\n自分で書き出した解説は、数学の塾の前や模試の前などにみて、一種の解法の流れの暗記みたいなのをしてました。\n\n\n少しでも参考になれば嬉しいです🙇‍♀️"}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学IIIの予習・復習"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！たまちゃんです。\n数Ⅲは1A2Bと比べても重いので、なかなか進まないと思います。8月末までに予習は終わらせて基本的な問題はある程度解けるようになっていると良いと思います。\n数Ⅲは慣れが必要ですので、演習の時間は十分とって下さい。そう簡単に攻略できる分野ではありません。\n個人的には「微積分の極意」という本がオススメです。最初に計算問題が沢山あって、次に数3を解くにあたって、重要な知識が載っています。ここは休憩時間や暇な時に読んでください。最悪、読まなくても良いですが、読んだ方が良いと思います。最後に標準〜ちょい難　程度の典型問題が載っています。標準と言いましたが、最初は解けないと思います。私もほとんど解けませんでした(苦笑) しかし、何回も解いているうちに解けるようになります。ここはマスターして欲しいです。因みに、私が受験した東京理科の数学の問題で、この本に載っている類題が出ました。このように、いろいろな大学で出題されている問題ばかり載っているので、マスターして欲しいです。\nそれが終わると過去問をやりましょう。全く歯が立たないという問題はあまりないはずです。\n過去問を直前に取っておきたい人は新演習がオススメです。新演習は東工大よりも易しめの問題から東工大に出てもおかしくないようなレベルの問題が載っています。東工大の過去問と遜色ないレベルですので、やる価値はあると思います。\n東工大の数学は出る範囲がある程度決まっています。\n複素数、微積分、確率、整数などは頻出です。ですので、この辺りを重点的にやりましょう。\n\nコロナで夏休みが少なくなるかもしれませんが、やはり夏休みは受験に置いてとても重要な期間になると思います。体調管理に気をつけながら頑張って下さい！応援しています📣\n"}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の試験範囲"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"東工大1年の者です。勉強お疲れ様です。\n\n私は早稲田の基幹理工も合格しているので、早稲田の数学を中心にお答えします。\n\n早稲田の基幹理工は、毎年、数3の微積分が出題されています。あとは、ベクトルと数列と確率が頻出ですね。\n\n大体の難関大は、数3を中心に出題します。\n\nそして、数3とは絡みづらい分野である、場合の数、確率や数列、ベクトルも題材になることが多いです。\n\nしかし、ここで注意しておきたいのは、大体の難関大が数3を中心に出題する理由は、数3が結局数ⅠAⅡBの内容も内包しているからであるということです。\n\n決して数3以外の勉強を疎かにしていいという訳ではありません。\n\n微積分の計算の最中に二次関数や三角関数、指数対数がでてきたりするわけですね。\n\n言ってしまえば、数Aの図形分野とデータの分析、確率統計はほとんどの大学で出題されません。特に、データの分析と確率統計については、出題しないことが明言されていることもあります。\n\n数Aの図形分野は、チェバの定理やメネラウスの定理、方べきの定理等を使える状況が限定的すぎることが原因なのか、あまり出題されません。と言ってもたまに出題されますが。\n\n以上から、ⅠAⅡBの分野はほぼ全て出題されると思ってもらって結構です。\n\n唯一、データの分析と確率統計は、滅多に出ないので、重視する必要はありません。\n\nまだ高一ですし、苦手を作らないように、全範囲出題されると思って勉強振るのが得策だと思います。\n\n頑張ってください。応援しています。"}],["$","div",null,{"className":"flex 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