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1a:Tc74,こんにちは！
京大生ではありませんが、僕も京大の問題をかなり解いたことがあり、また友人がほぼ同様の悩みを抱えていて解消していたので参考にして回答させてもらいます！(その友人は今年現役合格しています😊)

京大の数学は基本問題とかなり乖離があるため、どこから手を付ければいいのかわからないのだと思います。数学の伸ばし方というのは色々あり、まずは基本問題を抑える。それができたら、次は思考力をつける。そしてこれらに計算力が加わることで伸ばすことができる、という3つのベクトルで成り立っています。

つまり、質問者さんは思考力をひたすらつける必要があるのだと思います。京大数学は思考力をかなり必要とするのでなおさらです。

そこで友人がオススメしており使っていたのが、「世界一わかりやすい京大理系数学」という黄色い参考書です。もしあまりにも過去問を使いたくない、ということであれば、各問題に年度が書いてあるので、直近のものは飛ばすといいです。しかし、実戦的な演習は京大であれば冠模試の過去問が豊富にあるので、直近のものもやって構わないと思います。

おそらく今まで使っていた参考書は、基本問題の解説に重点が置かれており、勉強の仕方もどちらかというと「覚える」方が多かったのではないでしょうか。(青チャートや基礎問題精講、プラチカなど) しかし、この参考書は京大の問題を解く上で「どのようにアプローチすればいいのか」「どこに着目していけばいいのか」をメインに解説されています。つまり、いきなり解答が書かれるのではなく、思考プロセスに重きが置かれているのです。また様々な問題に役立つ思考の仕方は四角で囲まれており、復習しやすいです。

この問題集を解く時は、まず自分でわかるところまで限界まで考えて解いてください。その時の思考の仕方をできるだけメモしておくといいです。そしてわからなければ、思考プロセスのところを読んでいきましょう。そして、途中で分かったらそこからまた自分で解いていくのがいいです。これを繰り返すと各分野での思考力がみるみるついていきます！

また、もしこの参考書をやったことがあるだとか、もっとこの思考プロセスを極めたいとのことであれば、この参考書の阪大版があるので、使ってみるのもいいかもしれません。

長くなりましたが、このような感じです。友人も今の時期は1~2完だったようですが、最終的に4完して数学は6割5分で合格しました。基本問題はできるとのことですので、長い時間思考して思考力を上げれば急激にできるようになると思います！頑張ってください！👍1b:T109e,京都大学総合人間学部　FJgen112様の過去回答記録より
（この方は文系入学された方ですが、参考になればぜひ）
「・チャート
問題の解法が体系的に書いてあるので、基盤として持ってこいの本。例題の解答を熟読するだけでも全然違います。受験期は問題を見て解法が頭に浮かべばOKという感じでやっていました。

・一対一対応
応用問題が少し多いですが、チャート完璧なら多分余裕です。センターに出てもおかしくない難易度の問題もあります。自分はこれめんどくさくなって途中で投げちゃいました笑

・プラチカ
とても難しいです。最初やりはじめた時は、1ページに1問解けるかくらいでとてもしんどかったです。あと、京大にしては計算が煩雑な問題が多く、それもしんどかったので、重要そうな問題だけをやってました。

・過去問
25ヶ年を買って受験期に3周ほど解きました。A問題は完璧に解けるようにしてました。ただし、解答を読んでも理解出来ない部分があったので、数学の先生には「解答の解読」を依頼してたりしました笑

以上が僕個人としての感想です！
正直、一対一やプラチカはやってもやらなくてもってのが個人的な意見です。（英語が極端に苦手とかあるのならやった方が良いかもしれません...）

あと、受験期ですが「世界一わかりやすい京大の文系数学」っていう黄色の本があるのですが、それを過去問解き始める前にやりはじめました。とても分かりやすかったので、もし良かったら参考にしてみてください。
（中略）

ということで、僕の結論ですが、
教科書→4ステップ等→チャート→プラチカ（任意）→世界一わかりやすい→過去問
です！」

京都大学理学部　おこそ様の過去回答記録より
「私は京大理系ですが、ほとんど過去問しかやっていません。過去問を解いてわからないところは参考書等で復習というスタイルでした。
過去問がどの程度解けるかによって、必要な参考書も変わってくるとは思いますが…」

京都大学工学部　信様の過去回答記録より
「私の場合は夏までは青チャートで秋頃からは世界一わかりやすい京大理系数学を使いました。
フォーカスゴールドはオーソドックスな問題集なので繰り返し解いて早いうちに仕上げておいて、最終的には京大の問題に切り替えるのが良いと思います。京大専用の問題集は、数学が得意ならば赤本25か年とかでいいと思いますが、得意でないなら世界一わかりやすい京大文系数学を強くお勧めします。私はこの本（理系版）のおかげで数学がぐんと伸びました。」

京都大学農学部　たけ様の過去回答記録より
「僕は数学が苦手な人間だったので基礎を固めることを優先にして青チャートはもちろんプラチカも解き進めていました。
青チャートの例題のみを勉強していて過去問の対策に移ろうというのは少し危険であるように感じます。その理由は青チャートはシンプルでかつその単元の理解を助けるための良問を集めた問題集である一方、京大の数学は毛色が異なりそれ専用の対策を行わないと問題の意図すら掴めないことになりかねないからです。
最近は和らいできたものの、京大の数学の問題の癖は独特で慣れておくことが解答作成の手助けになります。
もちろん青チャートを解くことにより理解度は高まるのでオススメですが、それ以上に思考力と論理力が重要になるため青チャートと平行して少し上の問題集を解くべきかと思います。」

僭越ながら、参考になりそうなものを私の判断で選ばせていただきました。頑張ってください。1c:Tbd3,質問者様は京大志望だということなので、その前提でお話します。

まず、大まかな目安を京大理系数学の問題の得点率でお話すると、、、
＊青チャート例題レベル(←4割)
＊一対一(←6割)合格ライン
＊やさしい理系数学(←8割)医学部合格ライン

数学力を大きく2つに分けて考えましょう。
①理論(セオリー)を適切に用いる力
②論理(ロジック)を適切に構築する力


－－－－－－－－－－－

【①について】

こう来たらこう返すというものをしっかり覚えて用いる力です。
3×6=?
と聞かれたらすぐに18と返せると思いますが、こういったことを着実に増やすことが大切です。

例えば以下の問題を考えてみてください。
「0≦θ≦π/2とする。
y=3sin^2θ 2sinθcosθ cos^2θ の最大値・最小値を求めよ。」

この問題をどうやって解くか、瞬間的にわかるでしょうか？
理論(セオリー)をおさえることが出来ている人は、実践においてこの問題をいちいち論理的(ロジカル)には考えません。
(もちろん初めに理解する際には論理的に理解しますが、問題を解く際には論理的には考えません。)

これを鍛えるのに最適なのは青チャートの例題です。
青チャートの例題は解法がすぐにわかるレベルにまで落とし込むのが基準です。
青チャートの演習問題は、①の完成度を確認するのに用いましょう。


－－－－－－－－－－－－

【②について】

数学は理論(セオリー)同士を繋ぎ合わせて論理(ロジック)を構築する必要があります。
京大はもちろん、他の難関大学でも求められる力です。

これを鍛えるのに向いているのが
＊一対一(←論理的な部分の解説が丁寧。)
＊やさしい理系数学(←別解が多く紹介されている。)

苦手な人(一通り学習を終えて京大の問題が0〜2題しか解けない人)は模試の復習と①の練習に優先的に時間を費やすことをオススメします。

僕は苦手な人だったので、模試の復習と青チャートと『世界一わかりやすい 京大の理系数学』を用いてやっていました。


－－－－－－－－－－－－

質問者様は高2なので、IA・IIBの①の力を鍛えることを進めて、IIIの勉強に突入するまでに①が十分に鍛えられたと判断したら、②を鍛えるべく自分に合ったペースで学習すれば良いと思います。
そして①でつまづいている箇所を発見した場合、すぐに①の穴埋めにつとめましょう。

質問者様の書いている順番は良いと思います。
ですが、京大の過去問には高3の春に1年分だけ触れてみることをオススメします。
演習するのは高3の秋以降で大丈夫です。1d:Te74,こんにちは！
現在一橋大学社会学部１年の者です！

私は社会学部なので必ずしも商学部と同じ勉強方針ではないかもしれませんが、何か参考になる部分があればと思い答えさせていただきます🙇‍♀️
ちなみに当日の数学の得点率は55%くらいでした。

共テと２次試験の対策（特に数学）の勉強の比率についてですが、共テは慣れの部分があると思うので直前に解きまくれば結構即効性があります。現役の時は冬休みくらいから本格的に共テ演習に移行し、浪人の時は年明けから移行して、それぞれ82%、86%くらいでした。（本格的に移行というのは完全に勉強時間の全てを共テに費やすということです。それまでは共テの対策では、共テのみの科目の復習や授業で解く演習問題、共テ模試だけだったのであまり自分で共テ演習のための時間をとっていませんでした。）
ベストの比率は質問者様の状況によりますが、意外と共テは直前でもなんとかなるので、心配なら２次試験の数学をやるので計画的には全然問題ないと思います。共テ演習に移行したら２次試験の対策に戻らずそのまま共テの形式に慣れて本番がいいのかなと思います。（共テと２次試験の対策を並行してやるのは私はやってないのでなんとも言えませんが、中途半端になりそうな気もします）ただ、２次試験で使わない古文漢文や共テ科目の社会、理科基礎の暗記や総復習は、これまでどれほどやってきているかにもよりますが、12月すぎから始めておきましょう。

また、２次試験数学の整数分野について、私は一橋の整数は慣れだと思っています。慣れというのはただ解けば得点が伸びていくのではなく、はじめの発想や途中からの考え方の似たような問題が出やすいからそれらの解法を覚えていくのが良いということです。
私も最終的に３完を目標にしており、整数は取りたい大問の１つでした。前提として、整数問題の基礎ができている必要があります。もしまだ理解が不十分な部分があれば、チャートなどの基本的なレベルの問題を解きましょう。基礎は分かるけど過去問になると解き方が分からないという場合は、過去問を整数に絞って解いて解法を覚えましょう。最初は普通に解いて詰まったら解答を確認して、覚えててもいいのでもう一度解く。数日後にも復習として解き直さなくてもいいので確認する。ひたすら解き慣れていきましょう。

共テ数学も、基礎と慣れが重要だと思っています。こちらはより基礎が重要だと考えています。なぜなら、共テ数学の演習量が多かった現役の時よりも、少なかった浪人の時の方が得点が安定して高かったからです。浪人時は基礎を一からやり直せていたので、数学の基礎的理解が深まっていました。その差が点数の差につながりました。あまり基礎が固まっていないうちに過去問や予想問題演習をしても得点の伸びに限界があると感じるので、焦らず基礎を復習した後、共テの形式に慣れるのが良いと思います。

あくまで私の一意見に過ぎませんが何かお役に立てれば嬉しいです！
勉強頑張ってください📣2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=8lwcoWQBp00JfyF5KBk3","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"京大理系数学5割は一対一で可能か"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",3,") コメント(",0,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"7/16 12:22"}]]}],["$","div",null,{"className":"coach-mark 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