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1c:Tbd9,東北大学薬学部のヒロです。勉強における基礎とは何か、そして応用が解けるようになるためのアドバイスを教えます。参考になれば幸いです。

まず、問題を解くためには2段階の能力が必要で、一つ目は「知る」こと、そして二つ目は「使える」ことです。

一つ目の「知る」こととは、（当然ですが）教科書で公式や物質、単語について学ぶことであり、身につけることが必要な知識のことです。ただ、多くの人、というよりほぼ全員が勘違いしているのですが、「知る」ことは公式暗記や単語暗記ではありません。例えば簡単な例で言うと、二次方程式ax^2+bx+c=0を「完璧に」場合分けして答えられるか、英語で「3年がたった」を3通りで言えるか、酸化剤としての過マンガン酸カリウムの酸性条件と塩基性条件での変化とその理由など。もちろんこれらはほんの一例であり、すべての科目、すべての知識において前提条件や関連項目があります。

二つ目の「使える」こととは、実際に「知る」ことができた知識を使い、応用問題に対応できる力のことをいいます。どれだけ単語や公式を知っていたとしても、応用問題で「使える」ことができなければ意味がありません。「知る」段階で条件などを細かく学んだ人は、本当に「使える」人です。

「知る」ことは、公式や単語の丸暗記ではありません。受験生のほとんどは丸暗記することで「知る」ことができたと誤認して、いざ応用問題に手を出すと全く解けない状態に陥ります。逆に応用問題をすらすら解く受験生は、「知る」段階にて条件や公式の意味を本当の意味で「知る」人です。もしも先ほどの例を知らないのならば、そのかさんは本当に「知る」ことができていない状態です。でも、がっかりする必要はありません。今はまだ基本問題を解いているのであれば、今からでも遅くありません。使えないのに応用問題に手を出す方がよっぽど危険です。基本問題を解きながら、なぜこの公式なのか、他の答えだと不正解なのかなど、きちんと条件などを確認して、自信を持って「知る」ことができると言えるようになりましょう。

話をまとめると、基礎ができるとは、公式や単語を覚えることではなく、「使える」ようになるために「知る」ことなのです。それを意識して勉強していけば、必ず「使える」状態になります。大変かもしれませんが、本当の意味で「使える」状態になれば、周りの受験生とぶっちぎりの差が生まれます。受験勉強頑張ってください！応援しています！1d:Tc25,まずはどの科目にも言えることですが、基礎をしっかり理解し、解けるようにしてください。

基本問題を解き、わからないところは教科書や参考書に立ち返り復習する癖をつけましょう。
そして解法パターンを身につければ、応用問題も怖くありません。

数学はとにかく問題を解けばいい、と思っていませんか？
実はわたしもそう思っていました。
なので理論もわからず、とにかく問題集（私は青チャートを使っていました）を解き、間違える日々。

しかしこの勉強法は間違っている、と浪人してからやっと気付きました。

数学には定型パターンがあります。
高校数学を難しく感じるのは、そのパターンが非常に多いためです。
なので、まずはお決まりのパターンをしっかり覚えるようにしてください。

こういう問題がきたら、この公式だな、ってすぐに思いつくレベルまでもっていくのです。

以下、具体的な方法です。

私は青チャートを使っていたので、青チャートをイメージしてお答えしますが、ご自身の使っている問題集に置き換えて参考にしてみてください。

1.まずは一通り例題を解き、公式の使いどころを覚える。（基本問題）
→数学には解法パターンがあります。こういう問題が来たら、こういう方法で解く、というのが反射的にわかる、身につく、というところまでもっていきます。
この時、公式がわからない、理解できないときは教科書を開いて理解するようにしましょう。

2.例題の下にある問題を解く（標準問題）
→わからなくてもすぐに答えなどみずに、10分は考えるようにしましょう。この時色々な公式や解法が頭に浮かべば、知識は身についている証拠です。
逆に標準問題で手も足も出ないなら、教科書に立ち返りましょう。
ここまでできれば、定期テストや模試である程度の得点は見込めます。（青チャートなら国立大やマーチレベル）

3.章末問題を解く（応用、発展問題）
→数学を得点源にしたい人、難関国立大や早慶を狙う人は最終的に解けるようにしましょう。
このレベルだとさまざまな公式を合わせて使う、複合タイプの問題になります。
この問題をやるときは、「自分がどこまでわかっていて、どこからがわからないのか」をしっかり把握するようにしてください。復習するときはできないところの例題などを見返し、できるようにしましょう。
これが解ければ模試の大問もほぼ完投できます。


このように、大事なことはとにかく、
理論を理解する
ことです。
闇雲にやって量をこなすのではなく、丁寧に時間をかけて勉強してください。
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)\n\n一見難しそうに見える問題も原点に戻ればあっさり解ける問題は結構多いので是非証明はできるようになっておいた方がいいと思います！\n\n応援してます📣"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":null,"adviserName":"tatsuya1013","adviserDepartment":"早稲田大学創造理工学部","adviceId":"X4Gmq4XVBHi2bBCT","numberOfFan":186,"clipsAvg":12.575,"adviceRateAvg":4.613793103448276,"profile":"早稲田大学創造理工学部総合機械学科に所属する3年生です(^^)\n自分が受験生だった頃部活が3年の6月まであったため勉強との両立に苦労しました……\n少しでも受験生の力になれるように皆さんの質問に答えて行きたいと思っています( ^ω^ )\nps:ファンやいいねが増えるとよりたくさんの質問に答えたくなるので気軽にファン登録やいいねをお願いします笑"}]}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の解法暗記"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんばんは。\r\n\r\n高校の数学は、おっしゃる通り、中学までの数学と比べると、様々か角度からのアプローチができるようになります。ですが、（少し厳しいことを書くかもしれませんがお許し下さい）名古屋大学を受験するにあたって、解法を一つしかわかっていないようでは、合格への道はかなり遠いと思います。\r\n\r\nといいますのも、名古屋大学の数学の入試は文系理系問わず、試験当日全員に、問題冊子、解答用紙に加えて、数学公式集が配布されます。（もちろん公式集には全ての公式が掲載されているわけではありませんが）数学の入試で、公式集が配布されるということは、つまり、「ただ単に、公式に代入して、答えが求められる」ことのできる人を大学が求めているわけではないでしょうし、そのような人が有利な採点はなされないという大学側からのメッセージではないかと思います。\r\n\r\nこのように考えますと、解法を何通り覚えたかではなく、なぜその公式・定理を使うのかということの方が大切だと思います。ただし、いきなりなぜその公式・定理を使うのかということを意識するとハードルが高すぎる可能性もありますので、まずは、複数解法のある問題に関しては、どの解法が最も計算が楽かや、どの解法が最もミスをしにくいかというような意識で、最終的には「解き方を暗記する」のではなく「なぜその公式・定理を使うのか」というような意識で数学を学習していくといいのではないかと思います。\r\n\r\nまだ３年生の5月です。現段階で、駿台模試でC判定をお持ちであれば、このままの調子で勉強していけば、合格できると思いますよ。頑張ってください。\r\n"}],["$","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":"定石を定着させる"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！\n\n\n典型問題がよく出る大学と参考書を紹介します！\n\n過去問\n神戸大学\n神戸大学の数学は典型問題が多く、定石を覚えるのにいいと思います。あくまで過去問なので、分野もバラバラでハンドブックのように扱うのには向いてません。\n参考書\n青チャート　新数学スタンダード演習\n特にスタンダード演習についてですが、この参考書は難関大志望者が「これは定石」と言いたい問題集のようなものなのでとてもオススメです！\n\n余計なお世話かもしれませんが、質問を見て気になったことを話します。\n定石を覚えるのは大事ですが、問題への向き合い方も大事で、質問者さんは後者が疎かになっていませんか？\n後先考えないで式を作ったり、最終的にどうしたいのかわかっていないとおっしゃっているのでそのように感じました。それだと時間を無駄にしてしまう可能性があるので問題への向かい方を変えた方がいいです。具体的には問題を見てすぐ解くのではなく、3分くらいはどう解くかの方針を立てた方がいいということです。\n僕は数学で方針を立ててから解くことで成績が伸びました。\n\n頑張って下さい！\n応援しています！\n京大で待ってます！！！\n\nこの解答がいいなぁと思ったらファンになって頂けると幸いです。高評価もよろしくお願いします！"}],["$","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":[["$","div",null,{"className":"mb-1","children":"センター、今の時期五割から本番八割可能ですか？"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"回答させていただきます。\n結論から言うと簡単か簡単ではないかと言うと簡単ではないです。\nしかし、センターの科目の中で、配分が大きい英語、数学、国語が出来ていないのならそこに割いてください。英語は2時試験の勉強しているのなら、あとは文法とイディオムの参考書をひたすら勉強すれば８割は超えます。国語は、古文漢文の過去問を解くのと、解いたあと間違えた問題をノートにまとめ、何回も見直すのと、訳を何度も照らし合わせて読むのと、文法の参考書と古典単語帳を熟読してください。現代文は、過去問を解きまくり、コツを掴めば、いけます、あとは、時間に間に合うように解く練習を最期の2.3週間で何度も過去問を解いて調節してください。そうすれば確実に８割とは言えませんが７割は取れます。\n数学は、2時試験の勉強をしているのであれば、過去問を解いてやり直しをするの繰り返しで８割は行きます。\n社会は、本当に毎日覚える、昨日覚えたところを覚えてるかどうか、そこに関する問題を解けるかどうか毎日チェックしながら頭に入れてく、アウトプットするの繰り返しで毎日練習問題を解く、、、それをずっーと繰り返し全範囲頭に入れてく。過去問は12月からやってください、間違っても(全然覚えてなくて解けなくても)答えを赤ペンで書いたり、知らなかったことをノートにまとめてください。\n理科は、理科基礎だったら(すみません、わたし文系なので理系だったらわかりません)教科書読む、教科書に載ってる練習問題とく、を単元ごとに繰り返し、12月からは過去問を解きまくる。理科が一番９割というか満点とりやすいです。\n\n\n\n自分を信じて勉強してください、いけます、いきます。"}],["$","div",null,{"className":"flex 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