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19:T1bf1,こんにちは。
まずなかなか難しい質問ですが、そもそもあまりここで稼ぐというのを明確に決めない方がいいかなって思ってしまいます。
その教科で失敗してしまったらだいぶ厳しい戦いになってしまうので…。
ですが、とりあえず今回はそれは置いておき、数学で無双できるようにするということについてお話します。(私が使った参考書メインでおすすめすることになると思います。)
ただ、鵜呑みにはしないようにしてくださいね。ちゃんと本屋で自分に合うか確かめてから購入、実践してください。

①青チャート等の網羅系終了後
まずは一対一対応の演習ですかね。
私はこれの数2B3Cをやりました。
1Aはまぁいっかという妥協をしました。この後におすすめする参考書をやれば必要ないかなってのもあるのと、そもそも数1は難しいものも特にないし、という感じ。個人差あるので不安ならやっておくことをおすすめします。

そして、この後におすすめするというのが
合格る確率という本です。この本さえあれば確率が苦手というのが吹き飛びます。まじです。
私は確率大苦手でしたが、この本やってから確率間違えたことあるかな…？のレベルです。

②一対一対応等の後
これが終われば次にやるのはハイレベル数学の完全攻略(以降ハイ完)です。(ちなみに私はこれ終わる頃くらいに3年生になったんですかね、ちょっと曖昧な記憶ですが。)
この本は準備？みたいなやつとフォローアップが丁寧でめちゃくちゃしっかりしてる。
解答の方針も体系化してくれているので、私みたいに脳筋で勉強してた人にもかなりおすすめできます。

もしくは、私はやっていないですけどとても気になっていて、浪人するってなったらやろうと思っていた本がありまして、
それが真解法への道です。
これはぶ厚いですが、体系化の度合いとしては辞書かな？というレベルなので、短期間でやろうとするとちょうど半端に終わりますがじっくり何周もやっていくと超磐石な数学力が身につくのではないでしょうか。
けど私はやってないのでこれ以上なんも言えないです。本屋で見てみてください。

③ハイ完の後
次は、世界一わかりやすい京大or阪大の数学です。(以降せか京、せか阪)
この本もハイ完と趣旨は似てます。
けど、こちらは最初にこの手の問題はこの選択肢で動こう、というのが記されていてそれ通りに考えていくとできるというのが多く、他の問題でもちゃんと通用するので本当におすすめします。私はこの本で数学の考え方をちゃんと学べたような気がします。(ちなみに私はせか阪をやりました。)

④せか京、せか阪の後
ここまでくれば、定石集めや基礎、初手の動きというのはだいぶ整理され、だいぶ磐石になると思いますので、ここからは問題演習です。
わたしのおすすめは上級問題精講です。
実は私この本を2年生の時に表紙のカッコ良さと上級の文字に惹かれてかじったのですが、あまりにも難しくてけちょんけちょんにされ、その後しばらく本棚の門番を任せていたものです。
ですが、上述した参考書たちをやった後にはそこそこの数解けるようになっていましたので、やっぱり定石って大事なんだなと思います。
上級問題精講ですが、無茶苦茶難しいので時間をかけて考え抜いてください(目安20分)
それ以上考えて手が動かなければ相当厳しいので答えをみましょう。あの本選問は最高なのですが、解説がたまに？？？な時があるので、解説見て分からない時は人を頼りましょう。
先生に聞くとなるほど！ってなって面白いです(経験談)

⑤＋α
さすがにここまでやって時間余ることはなかなかないと思うのですが、私が使った他の本やサイトをまとめていこうと思います。

・やさしい理系数学
東大志望の人が使っていて私も使いましたがあれは使用者のセンスが試されると思います。体系化を自分でしていかなければなりません。
ちょちょいとヒントが書いてある程度です。
ですがそのセンスさえあれば化けるんじゃないでしょうか。実際その東大志望の人はチャートの後やさ理とハイ理だけで行きましたね。

・プラチカ
私は数3のみ使用しました。感想はうーん要らんかったかな。という感じです。まぁただ、好きな人は好きだと思うので一度見てみてください。紙質は最高(笑)。
ちなみに文系プラチカを使用した友人がいまして、その人から問題の質問をされた際に見た確率の問題はめちゃくちゃ良問だった記憶があります。

・新数学スタンダード演習
これめっっちゃ大好きです。たぶんせか阪より影響貰った本だと思います。
じゃあなんで最初の方に入れなかったんだいという話ですが、入れる隙がなかった…。
けど、もしせか阪とかハイ完が合わないってなったらぜひこれ開いてみてください。
この本、冗談抜きで世界変わります。

・新数学演習
大学への数学でトップレベルに難しいんじゃないでしょうか。
私はこれの好きなところだけつまんでやってました。(特に微積)
正直この本は娯楽感覚でしたね。解けなくても全く悔しがる必要なし。楽しんでください。

・微積分基礎の極意
これも大数です。
とにかく面白い。微積苦手っていう人はやってみるのもいいと思います。が、基礎という割に結構難しいところまで踏み込むので初学者はやらない方がいいと思います。

ここからは、参考書では無いですが数学力を高める上で役に立ったものを教えます。

・おいしい数学
こちらはウェブサイトです。
数学の基礎がまとめられているのですが、中に積分ガチャや漸化式ガチャというものがあるのでぜひ1度やってみて下さい。
ちゃんと学力上がります。

・いっしきさん(Xですがウェブでも開けます。)
この方のPDFは無料なことを疑うレベルで最強にわかりやすいのでやってみて下さい。

私が受験でやってきた数学はこんな感じです。他にもないことは無いのですが多すぎても困ると思いますのでとりあえずこの辺で。
頑張ってください！！1b:T14b9,こんにちは！
高3迎える段階で青チャート終えられてて素晴らしいペースですね！

まずいきなり結論として僕のオススメのルートを書くと
数学Ⅰ・A・Ⅱ・Bの完全攻略、数学Ⅲの完全攻略（駿台文庫）→過去問（『東大数学で1点でも多く取る方法』、安田亨著がオススメ）、入試数学の掌握（必要に応じて並行的に）
という順番で勉強するのがいいと思います！

東大数学を解くために必要な力について説明した上でそれぞれの参考書の特徴などを以下僕なりにまとめさせてもらったので、良かったら読んでみてください。

まず、東大本番に向けて身につける必要のある力を便宜上以下のように分けさせて頂きます。
①問題文を読んで出題意図を把握し、方針が立てられる。
②問題に合わせて適切な解法を選んで組み合わせられ、計算や証明の道筋が立てられる。
③確実に計算を実行しきる。
（3段階に分けてみましたが、問題によって②は①か③に吸収されがちなのでご了承ください）

①に関しては実際に過去問や東大レベルの難問に
たくさん取り組んで、しっかり頭を使ったり手を動かして考えることが重要です。数学が得意な人でも東大レベルの問題を前にすると、誘導がなかったりあっても意図が読みづらい等で、そもそも何をしていいかわからないという状態に陥りがちです。この辺は本物を前にあれこれ考えて、幅広い視点や柔軟な思考力を養っていくしかないです。

②はおそらく青チャートを終えた所でだいぶ身についておられると思いますが、自力ではまず思いつかないけど、入試数学の世界では常識化されてしまっているような解法等（逆像法など）が結構あるので、まずそこを適切な参考書で埋めてから東大の過去問に入るのがよいかと思われます。

③は基本練習あるのみですが、自分のケアレスミスの傾向を分析してミスを減らしたり、計算テクニックを学んで速度を上げることも重要です。基本的にここも青チャートでかなり身についておられると思います。


以上踏まえまして、ルートとしては②、③を問題集、参考書で仕上げた後、①を過去問演習（もしくは特殊な参考書）の中で身につけていくという形が良いかと思います。

東大数学で高得点を目指すためのオススメの参考書について、実際僕が使っていた参考書についてやって欲しい順に紹介させて頂きます。（おまけとして世間一般的に有名なものをその他としてご紹介します）

■数学Ⅰ・A・Ⅱ・Bの完全攻略、数学Ⅲの完全攻略（2冊）駿台文庫
　国立、早慶レベルの難問が並べられていて、しっかりと入試数学の常識化している解き方を網羅できます。問題集の特徴としては問題数は必要量に留めてあり、比較的短い時間で②、③の力を仕上げられます。自力では中々できないかもしれませんが、解説が非常に丁寧でびっしり書かれているので、1周目はすぐ解説を読んでしまってもいいと思います。

〈その他同じレベルの参考書〉
・　やさしい理系数学
・　ハイレベル理系数学
・　標準問題精講
・　上級問題精講
・　数学スタンダード演習
・　新数学演習

■入試数学の掌握（総論編、各論錬磨編、各論実戦編）
　東大、京大の問題が多く、その他難関国公立大の問題が並んでいます。参考書のレベルとしては受験数学最高峰で、東大医学部とかを目指す人が使うレベルです。これが完璧になれば東大数学で8割以上目指すことも可能だと思います。これも問題自体は少なく解説が丁寧でびっしりなのでオススメです。中々過去問以外で身につきづらい①の力をかなり養うことができ、②もほぼ完璧に身につけられます。ただ必ずしもここまでやるべきかはわかりません。

■過去問
　当たり前じゃんと思ったかもですが、これが地味に落とし穴なんです。過去問ってもちろんどの本でも問題は同じですが、解説の分かりやすさと再現性が執筆者によってかなり差がある印象です。赤本が一番有名ですけど、正直解説があまり良くないと感じました。
安田亨という人が書かれた「東大数学で1点でも多く取る方法」がオススメです。非常に受験生の目線に寄り添って書かれている印象でした。この人の解説動画とかもYouTubeで調べたらちょっとでてきます。参考書の執筆者の名前を調べたら動画が見れたり、評判がわかったりするので、今後他の科目においても参考書選びの際には著者名を検索してみるといいと思います！2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=kNajGmcBTqPwDZPu411x","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"確率・場合の数対策"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",10,") コメント(",0,")"]}],["$","div",null,{"className":"text-right text-xs 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mb-1","children":"こんにちは！\n\n　セカ京までの流れは、文句なしです！僕は更に、セカ京後に、「真・解法への道！」をやることをおすすめします。\n\nイメージとしては、\n網羅系で「各分野での、典型的な解法を練習」、\nセカ京で「入試でよくある問題、類題経験の有無が影響する問題を知り」\n解法への道で「解法に至るまでの自然な思考法を身につける」といった感じです。\n\n　セカ京は上にも書いた通り、入試でよく使う解法(確率漸化式の種類etc)を紹介するものなので、それだけで様々な問題に対応できるかと言われると、断言できないところがあります。\nまた、難易度もあまり高いわけではなく、「難問対策」というよりは、「入試典型問対策」としての役割が大きいです。\n\n　これに対し、解法への道には、かなり高難度の問題が載っており、更にその上、他に類を見ないほどの丁寧な解説が載っています。\nその名の通り、解答に至るまでの思考から、実際の解答中の些細な展開についての事細かな説明、補足まで。\n参考書の解説を読んでいて「なんでこんなこと思いつくんだよ」と思うこと、ありますよね。まるでそんな疑問が見透かされているかのように、これらに対する答えが、ほぼ絶対に載ってるのです。\nこの生徒目線に立った解説故、解答の再現力や、初見の問題に対する対応力といった、セカ京では手に入りにくい力が育ちます。\n\n　ちなみに、この解法への道は、やさ理などと同じ枠だと思ってもらって大丈夫です。ただ、圧倒的な解説の手厚さ故に、僕はこの「真・解法への道」をおすすめします。\n\n　いずれの参考書も、その参考書で身につけるべき力が何であるのかを意識しながら使用することが重要です。参考書の目的がわからない等あれば、いつでも聞いてくださいね。\n(目的を意識するとは、例えば、「セカ京」で、網羅系にあるような「二次関数の最大最小の解き方」を身につけようとするなどというのは非効率的というか、お門違いであるということです)"}],["$","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":"数学の基礎固め"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"初めまして！\n\n京都大学法学部二回生のporeporeです\n\n数学の問題集のおすすめについてお答えしていきます\n\nまず、基礎固めをしたいのであれば『標準問題精講』は不向きです\nその問題集の『標準』とは基礎固めが完了していて受験生として標準的な数学の学力がついている人を対象としているものなので、高2生の質問者さんには少々レベルが高いのではないかと思います\n\nそこで僕が数学の基礎固めとしておすすめしている参考書としては、『基礎問題精講』です\nこの問題集は、数学の基本レベルの問題を解くために必要十分な量の問題が厳選されており、問題量が多くないため何度も繰り返し反復して解くことができます\n\n実際に僕も高2の10月くらいからこの問題集をやりこんだところ、数学の成績が伸び進研模試では数学の偏差値が70は切らなくなりました\n\nですので、高2の間は『基礎問題精講』のみやっていれば数学で困るような状況はないと思います\n\nもし、『基礎問題精講』が完璧に解けるようになってしまったら次の参考書を進めてもいいです\n\n次の参考書としては、河合出版の『文系の数学　実践力向上編』がおすすめです\n\nですが、数多くの受験生と接していて高2の段階で基礎問題精講のレベルが完璧に仕上がっている人はなかなかいないので、先へ急ぐことなく基礎問題精講のレベルを完璧に解けるようになるまで仕上げることを優先された方がいいと思います\n\nまた参考書や勉強法について疑問点などがあれば気軽に質問してくださいね\n\nそれでは数学の基礎固めを頑張ってください！応援しています！"}],["$","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":"数学の参考書選び"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"進研模試の数学は9割取れました。\n東北大と早稲田は2次数学で受かりました。\nそんな僕も最初は数学が大の苦手でした。\nアドバイスさせて頂きます。\n\n数学は共テしか使わないと分かっているなら、教科書など→共テ対策の数学の問題集の順でやってはいかがでしょうか。\n8割までは取れると思います。\n青チャや基礎問は、記述試験向けなので、遠回りになると思います。\n\n前提として、伝えたいことがあります。\n受験数学は感覚ゲーだと世間で思われていますが、これは誤りです。\n実際は、パターンを暗記するゲームなのです。\n本当に受験数学は暗記なんです。\nHow are you?と聞かれたら、\nI’m fine thank you.と答えるように、\n最小値は？と聞かれたら\n二次関数にして平方完成。と答えるんです。\n\nまず最初に、教科書などから始める理由を説明します。\nそれは数学でよくやるパターンを覚えるためです。あと公式も。\nこれがいわゆる基礎ですね。\n数学IAなら\n先ほど話した、平方完成や方べきの定理など\nIIBCなら、解と係数の関係や内積の計算など、がよく使うパターンです。\nこれらをまずは、どんな場面で使うのか覚えましょう！\n\n次に、共テ対策の問題集をやる理由を説明しますね。\n理由は、1番近道だからです。\n記述系の問題は全然解けなくて構いません。\n共テの誘導ありありの中で7割取れたら万歳です。\n\nこちらでは、教科書などで覚えたよく使うパターンを、実際に使ってみる練習をします。\n自分で、この時はアレを使うんだ、と気づけるようになる練習です。\n\n共通テストの数学で覚えるべきパターン(解法)はあまり多くありません。\n今の時期から数学に取り掛かれば、間に合うと思いますよ。\n\nあと、各大門の最後の方の問題は解けなくて構いません。解き直しもしなくて大丈夫です。捨てちゃってください。\n\nとはいえ、数学はなかなか伸びてるか分かりづらい科目ですよね。問題との相性もありますし。\nそんな時に良い方法があります。\nそれは、大問ごとに勉強する方法です。\n一つ一つ7割出来るようになっていくイメージです。\nすると、手応えを掴みつつ勉強できるので、しんどくないと思いますよ。\n\n応援してます！\n気になったことはコメントで教えてください。"}],["$","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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