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1c:T1438,こんにちは。質問の意図は数学の参考書ルートということで、塾に頼らず数学を完成させた私の経験からアドバイスさせていただきます。

数学を学ぶ上での心構えですが、数学は単なる解法の暗記科目ではなく、特に京都大学のような高いレベルの入試では誘導が少なく、丸暗記だけでは対応できません。数学とは、決まった答えに対してさまざまな道具を駆使し、論理的に解を導き出す科目です。実際、京都大学の過去問に取り組むと「何をすればいいのかわからない」という問題に直面することが多いと聞いています。

何度も耳にするかもしれませんが、必要なのは自分が信じる参考書を完璧にすることです。ここでいう「完璧にする」とは、エビングハウスの忘却曲線に従い何度も復習することであり、いろいろな参考書に手を出すよりも遥かに効果的です。たとえばFocus Goldは非常に有用な教材で、全ページを完成させた後も定期的に見返すと良いでしょう。解いているときに、詰まった解法が書かれている部分にマーカーを引いておくと、後で見返しやすくなります。


実際の改善点
大学受験の数学の勉強は主に三つのステップに分かれると考えます。
一　解法を理解し、自分で運用できる武器を増やすこと。
二　その解法を実際に運用する練習、つまり思考力を鍛えること。
三　第一志望校の過去問に取り組むことです。


質問者さんは春休みに第一のステップを終わらせる予定とのことですが、その部分は問題ありません。ただし、学校で配られた教材であるメジアンは推奨できません。解説が詳しくなく、レベルもFocus Goldに似ているため、一つの教材に絞ったほうが遥かに効果を得られます。もし学校でやる必要があるなら、その部分には最低限の努力にとどめ、有効な時間の使い方を心がけてください。また、何かしらの入試問題集と書かれている部分ですが、ここでは第二のステップ、つまり思考力を鍛える部分が重要です。私のおすすめは「ハイレベル数学完全攻略」です。

ハイレベル数学完全攻略の紹介
・数1A2Bと数3Cの二冊構成で、各巻約40問程度の問題が収録されています。
・一見、問題数が少ないように感じるかもしれませんが、各問題は有名大学の過去問から選ばれ、重要なテーマについて詳細な解説が付いています。
・フォローアップ問題も充実しており、理解を深めながら横の広がりも学べます。
・Focus Goldと京都大学の入試をつなぐ難易度です。
・最初は戸惑うこともあるでしょうが、わからない点は先生に確認しながら進めれば大丈夫です。

「ハイレベル数学完全攻略」を3周ほどすることで（1、2周目は全問、3周目は間違えた問題を中心に）、体系的に思考法を鍛えられます。私自身は学校配布の網羅系参考書であるFocus Goldを2周し、その後「ハイレベル数学完全攻略」を3周、さらに「鉄緑会東大数学問題集」に取り組んで現役合格を果たしました。ハイレベル数学完全攻略の持つポテンシャルは保証できるので、ぜひ書店で実物を確認してみてください。問題に対する答えだけでなく、どのようなアプローチを取ればよいかを丁寧に解説しているため、解法の糸口が見えないという状況が格段に減るはずです。


過去問演習についてですが、京都大学の問題は実際に時間を測って取り組むべきで、せか京は過去問演習ではなく問題集、参考書として使うのが効果的です。実際に使用するかどうかは自分の実力と残り時間、他教科との塩梅をみてください。過去問に取り組む際は、鉄緑会京大数学問題集か駿台の青本がおすすめで、必ず時間を測って解くようにしましょう。


最後に、現役で絶対に合格したいという受験作戦についてですが、直前まで数学を詰め込むのは避けるべきです。しかし、数学をおろそかにするのも良くありません。直前期はノルマとして、過去問演習以外で1日2問、少なくとも1問は質の高い問題を解き、その解答の軌跡を記録することが大切です。私はそれを「ハイレベル数学完全攻略」で実践しました。現役生は理科の完成が遅れがちですが、最後の最後で理科は大きく伸びる傾向にあります。数学は不安定で上がりにくい科目なので、数学の結果に一喜一憂せず、他の科目で安定した点数を取る実力を培うことも忘れないでください。

応援してます2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=6kJ4r3ABTqPwDZPuiaJ7","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"やさ理、ハイ理、スタ演、プラチカ、新数演"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",28,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"3/6 19:51"}]]}],["$","div",null,{"className":"coach-mark 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mb-1","children":"こんばんは！\n京大を目指していた僕と同じ参考書を取り組もうとしていると思うので、アドバイスさせていただきたいです！\n\n結論から言うとハイ完か文プラのどちらか一冊に取り組むだけで十分だと思います！\n自分は文プラをかじりましたが、解説の細かさや量の少なさ(一冊を完璧にしたいという観点から)といった点でハイ完を完璧に取り組みました。\nレベル帯でいうほとんど同じだと思いますが、体感、ハイ完の方がほんと少し易しめで私大の問題が多いように思われます。\nですが、数学力、解法を身に付けたい、となると、ハイ完を強くおすすめします！\n※時間がある、演習を積みたい！というようだったら文プラも素晴らしい一冊だと思うので、そちらに取り組むのも全然◯です！\n\nまた、両方に取り組むよりも一橋の数学15？か年に取り組んだりや他教科に時間を使ったりする方が有効だと自分は思います！\nこれからは時間をどれだけ有効活用するか、が大事になってくると思うので、一冊の参考書を完璧にすることが合格に少しでも近づくポイントだと思います！"}],["$","div",null,{"className":"flex mb-1","children":[["$","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 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 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mb-1","children":"僕も数学得意な方だと思っていたので、参考までに自分の使った参考書とやり方などをしるしておきます。まず網羅系は黄色チャートを使っていました。全ての問題を解けるまでやりました。これは別にフォーカスゴールドで良いと思います。これが終わると学校でスタンダードとオリジナルという教科書をやっていました。しかしこれは難しい割に解説が雑なのであまりお勧めしません。自分の場合は授業の解説が良かったので、意味はあったと思います。\n\nこの後なにやるかですが、自分はハイ完という参考書の後、過去問と並行して、入試数学の掌握というものをやっていました。一対一かプラチカとのことですが、まあ正直どちらでもいいと思います。一対一は網羅系より多少実践的になるものの、京大入試との間はまだギャップがあると思います。プラチカは問題おおいので挫折するかもです。ですから文理両方はやめた方がいいと思います。\n\n今年から高2ということで、高3までにここまでと、数Ⅲの基礎を固めるのがいいとおもいます。京大入試で数学Ⅲの分野は満点のつもりでいかないと、稼ぐことはできません。高三になったら数Ⅲの難易度をあげて、(例えば一対一とか)、数Ⅰ,Ⅱ,A,Bの難易度を上げましょう。個人的には掌握やってほしいです。難しいですが体系的に問題を解けるようになります。とりあえず、赤色と青の3章(通過領域の章)まではやって損はないとおもいます。掌握は問題がそれほどおおくないので、個人的にはこっちの方がすきでした。そのあとは早くから過去問をいっぱいやりましょう。過去問の研究が大事です。\n\n最後に得点稼ぐ役割で数学だけに依存しすぎるのは非常に危ないです。僕は夏の京大実践で数学は全国16位でいい方だったとは思うのですが、数学はどうしても上下してしまいます。本番はたぶん8割ぐらいだったと思います。合格する皮算用する際は、どれだけ得意でも８割までにしましょう。それで合格点を超えるような計画を立てましょう。また質問があったら聞いてください。"}],["$","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":"数学"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"focus gold(以下FG)を使い続けることをお勧めします。いくつもの参考書に手をつけるよりかは、１つ１つの参考書を何周もし、じっくりやりこんでいくほうがいいです。質問者さんは基礎から固めたいということですが、FGは基礎から発展まで網羅されています！また、まだ高校2年生ということで、時間もあるのであえて薄めの参考書に取り組む必要もないと思います。質問文にもあるように早めに基礎を固めたいというのであれば、マスター編の星2つと3つの例題だけを解く、などしてみてもいいと思いますよ。星1つは解くまでもなく軽く見るだけ、星4つは少し応用なので今はやらなくてもいい、と割り切ってもいいです。\n 私は、高3の夏休みまでに数3までのマスター編の例題(上記のように抜粋で)を一周と、step up問題の苦手な単元と微積(微積は苦手ではなかったですけど必ず入試にでるし重要な単元ですから笑)を終わらせ、夏休みで例題とその練習問題を一周、9月以降では夏休みにやって間違えた例題練習問題を復習しつつ平行してLevel up問題を解きはじめていました。11月後半ごろになって過去問演習を始めるときも、平行してlevel up問題を何度も解いていました。\n 私が受験で使った参考書は、FGと過去問だけですが、先ほど述べたやり方でかなり力がついたと実感しています。経験して言えることですが、FGはとてもいい参考書だと思います！なのでFGを使い続け、やりこむことをオススメします！\n そして間違えた問題は必ず解けるまでやってください。復習が大事です！がんばってください！\n "}],["$","div",null,{"className":"flex 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mb-1","children":"京大志望でした。\n現役時に1対1、文系プラチカ、ハイ完をやりました。（標準問題精講はやってないです🙇‍♀️）\n\n私のおすすめは1対1→文系プラチカです。\n理由としては、夏までに単元ごとの習熟度を高め、夏以降は融合問題を演習して入試問題レベルで対策を進めてほしいからです。\n\n1対1は各単元ごとの基本的な解法が網羅されている参考書であり、入試問題で出題されるような融合問題は、それらの解法を組み合わせることで解けるようになっています。\nまずは夏までに1対1で、融合問題を解くためのストックを増やしてほしいです。\n\n夏以降はプラチカをやることで、夏までに増やしたストックを引き出す練習をしてください。\nプラチカは問題数がそれなりに多いので、様々な問題にあたるのには適していると思います。\n演習を進めていく中で、知らない解法が出てきた時は、次に使えるようにインプットしましょう。\nこの時に大切なのが、こういう問題の時はこう解く、というように覚えてしまうのではなく、なぜその解法に至るのか、その理由をしっかり検討して、言語化できるようにしてください。\nこれが応用問題を解けるようになるためのコツです。\n\nハイ完は、解答解説が素晴らしい参考書です。\n1問に対して、複数の解法や類題、その解法への筋道等が豊富に説明されています。\nですが、演習を積むには問題数が少なすぎるので、外させていただきました。\nしかし、ハイ完も本当に良い参考書で、解説の隅々までしっかり勉強することで、問題に解くのに必要なことがたくさん学べるようになっています。\nプラチカを終えて、余力があればやることをお勧めします。\n\n1年後、京大に合格されていることを願っています。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":"数学の参考書ルート"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"お勧めするのは『数3の問題集に取り組むこと』です！\n\n理由は二つあります。\n❶数3の勉強は1A2Bの復習になるから\n数3は完全に新しい分野というわけではありません。今まで学んだことの延長上にあるので、逆に言うと数3の勉強はこれまでの復習にもなります。数3の予習を1人でやる事が苦にならないなら数3の予習を進めつつ、忘れていそうな内容は1A2Bに立ち返ってやるのがいいと思いますよ🙋\n\n❷数学を早めに完成させたほうがいいから\n京大を受けるとしたら他教科の完成度も高める必要があります。現時点でのリボくんさんの成績はわかりませんが、理科系科目のうち一教科は2年生の段階でかなり仕上げておく事をお勧めします(自分の場合は物理を2年生のうちに一通り仕上げ、3年は化学の勉強に費やした)。\n\nここからは小話ですが、優秀な質問者様ということで普段はあまりしないテクニカルな話をします。入試問題は平均点ある程度の点数に収まるように作成されますが、点数変動の大きい科目と小さい科目が存在すると思います。例えば数学や物理は部分点があるとはいえ、完答出来るか否かで点数が大きくブレます。逆に英語や化学、国語は前後の問題の繋がりがそこまで大きくないので完答か否かで点数のブレは大きくありません。この点数のブレは合格確率にも少なからず影響してきます。もう少しフランクに言うと合格ラインギリギリに乗る場合は数学を得点源にしているとコケた時に大変な事になる…って感じなので他の教科も満遍なく勉強できるように数3に移って早めに進めておくのをお勧めします🙆‍♂️"}],["$","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":"大阪大学に行くための数学ルートを知りたいです"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"はじめまして、こんにちは！\n\n大阪大学人間科学部の、のぞみといいます。\n\n私が受験生時代にやっていた数学の参考書とおすすめの参考書について書いておくので、参考になれば幸いです！\n\n\nまず、４STEPを５月までに終わらしてしまいましょう。\n基礎問がこの時期で８割終わっているのは早い方なので、自信を持っていいと思います！\n\n基礎問が終わった後、私がやったのは文系数学のプラチカです。\nただ、この時期に始めるには少し演習量が足りないのと、大阪大学文系数学が近年連続で易化していることを考えるとオーバーワークになってしまうかもしれません。\n\nですので、私がおすすめするのは一対一対応の演習です。\nこれは基礎問などの網羅系を終わらした後、プラチカの間に挟むのに最適だと思います。\n\nそれが終われば、文系数学のプラチカか、余裕があれば新スタンダード演習もおすすめです。\n\n\n数学は４STEP、基礎問、一対一対応、(余裕があればプラチカか新スタ)の３つまたは４つの参考書をこなすだけでいいです。\n\n大事のはそのやり方なので、私が次に書くやり方をぜひ実践してみてほしいです！\n\n\n①問題を解く\n②完璧に解ければもうその問題はやらない。\n③つまってしまったり、わからなくなったら、すぐに何がわからないかを明確にして書きだす。\n④答えを見る。\n⑤答えを理解する\n⑥自分にどんな知識または発想があれば解けたのかを書き出す。\n⑦何も見ずにもう一度解く。\n⑧⑥で発見した弱点をつぶす。\n\nこれで数学は必ず伸びていきます！\n\n陰ながら応援しておりますね！！！"}],["$","div",null,{"className":"flex 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