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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！👍15:Tecb,こんにちは、京都大学薬学部に通っているものです。 ルート自体は間違っていないと思います！ ただ、現在立てている計画で一番あいまいな部分である、 「やり込む」 についてもう少し自分で言語化するといいと思います。 数学というのは、（あくまで自分が京大数学に向けて勉強して思ったことです。） チャートなどを駆使して基本問題や典型問題をおさえるフェーズが第一段階。 そしてその典型問題とは異なった形をなす応用問題に対する武器や考え方を別の参考書などで増やすフェーズの二段階だと思います。 この考え方でいくと、 チャートをやる理由とは、当たり前の問題を当たり前に解けるようにするためといえます。 なので、チャートで星４までの問題なら、みた瞬間に、これはこの解き方だ（ここでは計算内容ではなく解法のみで構わないと思います。）というのがわかるようになったかどうかがチャートをやりきったかの指標の一つになると思います。 そしてこの基礎を怠ると、 絶対に応用問題も解けないので、時間をかけてしっかりチャートの問題を理解するのが大切です。 チャートの次になにをするといいかですが、自分も世界一わかりやすい京大数学でいいと思っています。 京大の数学は基本的にはチャートをやっていれば一瞬で解法が思いつくような問題はほとんどありません。 では、どうやって考えれば自分の馴染のある解法に持っていくことができるのか、その難しい問題へのとっかかりかたを教えてくれるのがこの参考書になります。 どんな応用問題も基本問題の融合によって難しくみえているだけで、 チャートを網羅した人なら思いついてもおかしくない問題ばかりです。 解くときには全く解き方がわからなかったけど、解説を見たら 「うわー、とけたな」 と感じたことは何回かあるとおもいます。 ここで大事なことは、自分が解けていたということではなく、答えにたどり着くために問題文のどこにヒントがありどこに着目すべきかを考えることにあります。 そのここがヒントだよというのを克明に記してくれているのが世界一わかりやすい京大数学です。 基本問題をおさえたけど応用問題はまだあまり解けないといった状態の方には京大志望関係なくおすすめできるほんとにいい参考書です。 青チャート→基本問題 世界一わかりやすい京大数学→応用問題の解き方のいろは のようにどの参考書で自分のどんな力を伸ばしていきたいかを考えると、その参考書の取り組み方も、何周するとかではなく、〜ができるまでと、自分で言語化できるようになると思います。 個人的にはこの世界一わかりやすい京大数学のあとにもう一冊（ここまででも充分ですが、時間があれば）応用問題がたくさん解ける参考書をやるといいと思います。 世界一わかりやすい京大数学で与えられた応用問題に対する考え方を他の問題で実践しながら自分のものにしていくことも大事だと思うからです。 そのあとに、京大の傾向やいわゆる、慣れのために過去問を解けばいいと思います。 そして、その都度苦手分野を重点的に解いていったりするのがいいと思います。16: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。17:T11f9,こんにちは！京大文系数学で2、3完するために何をすべきかというご質問ですね。 まず京大レベルの数学に対応するためには、問題文を見た時に解法を思いつくための「思考法」が必要になります。思考法というのは例えば、「図形問題はその問題文に関わらず、初等幾何で解くのか、解析幾何（座標）で解くのか、ベクトルで解くのかという3パターンから選択する」、「対象性がある図形は座標においてみる」、「具体化してみる」、「証明問題で自然数ならば数学的帰納法を疑ってみる」などです。特に京大では「偶奇に着目する、mod3で考えてみる」などもあります。このような思考法は最難関大以外の数学ではあまり気にしなくてもなんとなく解けてしまう問題が多いのですが、その思考法がないと京大レベルでは手も足も出なくなります。基本的に数学の問題というのは複数の問題の組み合わせでできています。それが最難関大になると組み合わせ方が上手かったり複雑に組み合わせたりしているので、一見すれば今まで見たこともないような問題に見えてしまいます。ですが所詮はいくつかの問題の寄せ集めですので、臆せず思考法に従っていけば解けます。（もちろん捨て問みたいなものもありますが） ではこのような思考法を身につけるためにはどうすれば良いかということなのですが、単純にこのような思考法を扱っている参考書などからインプットしてしまうのが手っ取り早いです。そこでこのような思考法を扱う参考書は何か、ということになるのですが、自分が知る限りでは非常に少ないです。すべて挙げてみると、 ①「世界一わかりやすい京大の文系（理系）数学」 ②「入試数学の掌握」 ③「Mathematics Monster」（Webサイト） ④ z会本科京大コース この４つです。このうち②についてはレベルが高すぎるのでおすすめできません。 次に④についても今からはおすすめできません。残るは①と③になりますが、時間が限られているこの時期であれば①（以下、せか京）をおすすめします。せか京は京大で最低限とるべき問題をピックアップして解説してくれています。特にその解説の際にポイントになる思考法を書いてくれているので、それをマスターするように心がけると良いと思います。京大に特化していることもあって、非常に有効な参考書だと思います。次に、もし余裕があれば③の「Mathematics Monster」というWebサイトをおすすめします。１つの問題について１つのYouTube動画で解説するというスタイルで、１回の解説で複数ポイントとなる思考法や、それだけでなく計算の工夫（例えば不等号の式で分母を払うときに2乗の形で両辺にかけることで場合分けをしなくて済むなど）も紹介してくれるのでためになると思います。動画形式なので休憩がてら2倍速で見るだけでも力になるのでもしよろしければ参考にしてみてください。以上が思考法を身につけるためにおすすめの教材となります。 次にペースについてですが、他教科との兼ね合いもあると思うのでご自身で決められるのが良いかと思います。基本的にせか京は秋くらいに終えて過去問に入れればいいペースだと思います。少なくとも共テ対策を本格的に始める前には終えたいところです。また、もし「Mathematics Monster」を取り組む際は、単元別になっているので、自分が苦手もしくは得意にしたい単元を選んで取り組むと良いと思われます。特に京大では整数問題やベクトル、微積あたりが重要かと思いますので、その辺を取り組むと良いかもしれないですね。 以上になります。自分は京大を諦めて阪大に行くことになりましたが、ぜひ京大合格を勝ち取ってください。応援しています！質問等あればコメントやメッセージでお願いします。（「Mathematics Monster」のリンクを貼っておきます。http://mathematics-monster.jp)2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto 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mb-1","children":"ANkさん、はじめまして！\n\n\n模試の判定もしっかり取れているので、今の時期からならもう過去問に触れて経験値を積むのが良いかなと思います。\n\nそこで過去問が少し厳しそうという場合には、世界一わかりやすい京大理系数学という参考書を挟んでも良いと思います。私も高３の夏休みあたりにこの参考者で傾向や方針付けについて勉強していました。\n実際の京大の過去問を例題として解説もしっかりとあり、なぜそうするのかなども詳しく載っていたりするので、かなり参考になりました。\n\n\n\n京大の数学は1から自分で方針を作って最後まで持っていく力が必要になってくるので、解く際の最初の考え方としては、\n\nこのような問題なら使えそうな解法がα、β、γの３通りあり、いくつか実験してみてαとβはダメそうで、γがいけそうだからこれで一旦解いてみる\n\nというように方針づくりが必要になってきます。\nなので、ノートなどにチャート式で解法をまとめたりするのもオススメです。\n\n\n\n長くなってしまいましたが、参考になれば幸いです☺️\n応援してます！無理のない範囲で頑張ってください！"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 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mb-1","children":"はじめまして。\n私は京大志望でしたが、東大の対策もできるような参考書を何冊か紹介します。\n\n①数学標準問題精巧\nIA,IIB,Cごとに別のものもありますが、私がおすすめしたいのは分野別の版です。\n私は整数が苦手だったので整数と、同値変形の力をつけたかったので軌跡・領域の2冊を使ってました。\n難関大の過去問をメインで使っており、解説も最難関大学向けのきっちりとした(必要十分を意識した)記述で書かれており、かなり充実しています。東大志望でも充分役立つと思います。\n\n②大学への数学\n東大と京大はそれぞれの過去問10年分集めた版が出ています。各年度の問題の難易度やどれをどれほど取れれば合格点を取れるかなど、かなり実践的な内容が盛り込まれています。\nなにより赤本よりも解答が信頼できます。あとこれは個人的な問題ですが、赤本よりも解答がコンパクトで見やすかった印象です。\n私は受験生の時これをメインで京大対策をしてきました。\n\n③全国大学入試問題正解\nいわゆる｢電話帳｣です。\nこれは志望校対策と言うよりは、志望校対策がある程度落ち着いてきた時用です。\n後ろのページに分野ごとの索引があり、やっておきたい分野の問題を一通り解いて見るといいです。東大・京大になってくると話は別かもしれませんが、難関大の数学の問題は使い回されること(同じような問題と言うよりは同じ考え方でアプローチする問題が出る)があるらしく、余力があればやっておけと予備校で言われました。\n私は解法の引き出しを増やすという意味で、息抜きがてら一日に2,3題やっていました。\n\n現在高2ということで、焦って対策を進める必要は無いですが、やる順番としては①→②→③がいいと思います。\nまぁ正直現在どれほど勉強が進んでいるのかわからないので、自分の思う進み具合で使い分ければいいかと思います。"}],["$","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":[["$","div",null,{"className":"mb-1","children":"京大経済志望 数学の参考書ルート"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"初めまして。新大学一回生で京大経済(理系)を志望していた者です！\n僕の結果は不合格でしたが、数学は特に力を入れていた教科なので、少しでも参考にしていただけたらいいなと思い回答させていただきます！\n\n直近の共テ模試、同日模試から推察するに、数学の基礎は相当固まっていて、素晴らしいと思います！\n\n一対一か標問かという質問に対する回答ですが、どちらでも基礎問から一つ、二つレベルの上がった問題に取り組めると思います！僕が標問をやっていたこともありますが、個人的には標問をお勧めします！\n\nその後のルートですが、文プラよりハイ完をお勧めします！どちらの参考書も取り組みましたが、問題の難易度はハイ完の方が若干下だと思いますが、解説の詳しさや類題を提供してくれることもあって、自分はハイ完で難関大学(いわゆるtocky、旧帝)レベルの入試問題に対するアプローチの仕方が身につきました！\n\nまた、ハイ完、文プラである程度数学力が身についたなと感じたようでしたら、過去問、世界一わかりやすい京大の文系数学(←まじオススメ)に取り組むのもありだと思います！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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":"2次数学との間"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"青チャはほとんど解ける状態とのことですので、基本となる典型問題は解くことができるようになっているはずです。\n\nさらにレベルを上げ、入試レベルでの典型的な問題を解きたい場合は、『標準問題精講』などがオススメです。\nこの問題集の目的は、京大合格レベルの受験生が落とすと痛いレベルの問題をしっかり完答できる実力を身につけることです。\n青チャができていれば、初見では解けない問題があったとしても、定着が早いと思います。\n\n標準問題精講を早めに終わらせたあとは、『世界一わかりやすい京大の文系数学』（以下、せか京）に進んでみましょう。\nせか京は、最近の問題というよりは、昔の問題から多く収録されていますので、過去問演習に影響を与えることは少ないと思います。\n”京大用”の問題集なので、1番効率が良く二次対策できると言っても過言ではありません。\n\nもし、数学が得意であれば、標準問題精講はいったん飛ばしてせか京に進んでも良いかもしれません。\nただ、標準問題精講は京大で合否を分けるような問題を解答できるようになるための土台を作ってくれると思います。\n\n応援しています！！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 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mb-1","children":"京大文学部所属のvenusと申します。よろしくお願いします！\n\n結論から言うと、そのまま進めていってください。\nせか京は、「京大受験生がぜひ解けるようになっておきたい」という問題を選りすぐった過去問集であると同時に、京大文系数学に対する振る舞い方を丁寧に解説してくれる参考書でもあります。\nそしてこの本は、「解法の思いつき方」にかなりフォーカスしています。\nよって、まさに「京大数学を解こうとしても、解法が思いつかない…。」という人が取り組むべき参考書なわけです。\n\n京大数学は、他大学とは幾分性質が違う、というのは質問者さんも感じていらっしゃると思います。\n最大の特徴は、誘導が極めて少ない、という点です。だからこそ、解法の発想から最終的なゴールまでの道筋を自分で導き出す力が必要になる。そのプロセスの習得の心強い味方がせか京です。\n\n著者の池谷先生もおっしゃっていた気がしますが、「まだ過去問は早い」と思っていると、いつまで経っても解けないままになってしまいます。\n本番で倒さなければならないレベルの相手に、早くから慣れておくこと、そして、自分の中にプロセスを確立しておくことが、とても大切です。\n高3生で京大志望の方にはかなりおすすめの本です。\n\n以上、せか京どうするか問題について話してきました。\n質問者さんの健闘を祈っています！\n\n追記\nせか京に取り組んだ場合、それだけで60題（12年分）過去問を解いたことになります。そのため、せか京を終えた後、過去問演習をすると、見覚えがある問題に出会うことが多かったり、あるいは過去問が尽きたりすることがあるでしょう（過去問は20〜25年遡れば十分だと思います）。\nその際には、冠模試の過去問集に取り組むと良いです。すごく練られた問題かつ、まだ本番での出題がないため、当日かなり似た問題が出る可能性もあります。\nおすすめです。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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いっしきさんの「入試数学難問の手引き」\nXで「入試数学難問の手引き」と検索すると、いっしきという方が作成されたPDF形式の参考書をダウンロードすることができます。これは京大で頻出の分野に対する頭の使い方を解説してくれているものです。本気を出せば2-3日で解き終わるし、その後の問題集への取り組みの仕方も変わるのでかなりおすすめです。\n\n③数学力向上チャンネル\n参考書ではありませんがYouTubeで見れる数学力向上チャンネルもおすすめです。裏技っていうほどではないのですが、この問題ってこうすればもっと楽に解けるんだよ〜みたいなのを教えてくれます。模試前とかに見てました。\n\n\n\n勉強法について\n青チャートレベルの問題は1度完璧にしたとしても受験まで解き続けてください。特に京大文系数学は急に難化する時があるので、しばらく解いてないと動揺して簡単な問題すら解けなくなる場合があります。毎日30分とかでいいのでサラッと解法を頭の中で復習するようにしてください。自分は朝、単語帳復習する時に一緒にしてました。紙に書けば計算の練習にもなります。(今年の京大文系数学は計算煩雑すぎたので…)\n\n続いて、文系プラチカなどの参考書のやり方についてです。よく聞くことかもしれませんが、パターン化が重要です。初めのうちはうまく出来ないかもしれませんが無理矢理でもやっているとだんだん出来るようになってきます🙆‍♀️沢山問題を解いているとあの問題と似ているなと感じることがあるので、そういう時になぜ似ているのかを考えるとパターン化がしやすいかなと思います。\n\n以上です。質問があればコメント欄で教えてくださいね。\n\n\n(青チャートだけで京大B判定取れてるのはかなり凄い気がします、、まだまだ伸びると思うので頑張ってくださいね💪🏻❤️‍🔥)"}],["$","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":[["$","div",null,{"className":"mb-1","children":"数学の勉強法"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"自分はとても数学が苦手だったのですが、自分の場合は無理に高難易度の問題もできるようにするのではなく、取れる問題をちゃんと取ることを目標に勉強していました。\n自分は学校で使っていた教科書と問題集の問題を確実に解けるようになるまで、何周もしていました。高2の9月以降くらいから青チャートをやろうと思って購入しましたが、学校の問題集をちゃんとやってれば、青チャ基本的な問題は解けるようになっていました。\n数学が苦手だった自分の場合は、無理にたくさんの参考書に手を出さず、一冊の問題集をちゃんと仕上げるという方法が合っていたのかなと思います。\n京大数学は激ムズ問題と取りやすい問題が入り混じっているので、全部を初見で解けるようにするのではなく、取れるところをとっていくという姿勢が重要かなと思います(数学がめちゃ得意とかだったらまた別だと思いますが、、、)。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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 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