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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1d:Tf88,こんにちは！
名古屋大学に通っているものです。

さらっと名古屋大学の数学がどんな感じが話しておくと、1つの大門の中におおよそ3問ほど小問があり、(1)は比較的基本的で(2)は少し頭を捻らせるような問題、(3)は今までを誘導として使う難易度高めな問題が多いです。
 
理科に関してはとにかく時間が無い。問題を見てすぐに解き方を思いつくことができるように経験をたくさん積むことが大事になってきます。

高校2年生ということで、現段階では①今まで習った範囲の基礎固め ②習ってない分野の予習をやるといいと思います。

数学
どこまで習っているかわかりませんが、数3をもう習っているのであれば数3の基礎固めから始めるといいと思います。なぜなら1A、2Bと比べて1番点数が安定しやすいからです。
基本的には数3⇒数2B⇒数1Aをおすすめします。ただし苦手分野がはっきりしているのであればそこからやると伸びます。苦手克服は早ければ早いほどいいです。
私の言う基礎固めとは「網羅系参考書(チャート・Focus Goldなど)の例題がスラスラ解ける」レベルです。解法の丸暗記ではなく論理構造を理解してください。
習ってない分野の予習は、習った範囲の基礎固め後にやるといいです。参考書などで理解出来ればいいですが、難しい場合はスタサプやYouTubeを活用するといいと思います。正直予習まで手が回らなかったとしても復習がちゃんとできたのなら大丈夫です。

私は物理化学選択だったのでこれらについて書きます。ですが今理科にそこまでの時間をかけなくてもいいかなとは思っています。

理科
習った範囲はちゃんと理解出来ていますか？その問題の考え方を他の人に説明できますか？
これらの質問にYesと答えられるのなら今は英数に時間を使うべきだと思います。
学校の進度が遅いのであれば予習をするのはありですが、それは余裕があればで大丈夫です。
私はこの頃は力学・理論化学をやってたかな。
予習をするのであれば波・光、無機化学をおすすめします。(物理の電磁気は重すぎて、自学で習得は難しいかな、、。)

英語
英単語帳1冊完璧にすることを心がけていました。単語がわからないと文章読めないので。
あとは英文解釈系と長文系の参考書などを使って英語に触れ続ければいいと思います。
長文が苦手なのであればパラグラフリーディングを意識するといいと思います。(段落ごとに要約してみる読み方。文章の論理構造把握に役立つ。)
音読もおすすめです。左から右に読むので速読ができるようになります。リスニング対策にもなります。自習に使った長文をぜひ音読してみてください！！

国語
文章題に限らず、活字を読むのは良いと思います。この時期だと息抜きも兼ねて読書とかで速読力をつけてたと思います。記述の練習をしたいのであれば週1くらいで長文を読んでいくといいと思います。
古典に関しては空き時間にコツコツ古文単語や漢文句法などを覚えていくと後々楽です。

たくさん書いてしまいましたが、参考になるものがあれば幸いです。
例えこれが全部出来なかったとしても自己嫌悪とかにはならずに勉強を進めていってください。まだまだ先は長いです。燃え尽きない程度に思う存分勉強してくださいね☺️

応援しています！！がんばってください！٩( ˙ỏ˙ )۶2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=FYA66DefEAC6gkW5GQ7m","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数学の先取り"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",1,") コメント(",6,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"9/2 23:04"}]]}],["$","div",null,{"className":"coach-mark 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mb-2","children":"回答"}],["$","div",null,{"className":"mb-4","children":["$","$L15",null,{"adviserImageUrl":null,"adviserName":"らじあん","adviserDepartment":"京都大学工学部","adviceId":"FYA66DefEAC6gkW5GQ7m"}]}],["$","div",null,{"className":"coach-mark mb-4","children":"すべての回答者は、学生証などを使用してUniLinkによって審査された東大・京大・慶應・早稲田・一橋・東工大・旧帝大のいずれかに所属する現役難関大生です。加えて、実際の回答をUniLinkが確認して一定の水準をクリアした合格者だけが登録できる仕組みとなっています。"}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap 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whitespace-pre-wrap","children":"やっぱりなんといっても坂田薫先生の化学は僕にとって神でしたね。新演習と合わせて、京大オープンの化学の偏差値は74まで伸びました。"}]]}]]}],["$","div",null,{"className":"flex py-4","children":[["$","div",null,{"className":"mr-2","children":["$","$L19",null,{"avatarUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_8mYcor58xsatN9mfFhv8p2briCE2.jpg?alt=media&token=cf5f7e14-6767-4ee9-bb7d-d5876f88b5f7","contributorName":"うま","adviceId":"FYA66DefEAC6gkW5GQ7m"}]}],["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"mb-2","children":["$","$L1a",null,{"contributorName":"うま","adviceId":"FYA66DefEAC6gkW5GQ7m"}]}],["$","div",null,{"className":"text-xs text-caption","children":"9/2 23:53"}]]}],["$","div",null,{"className":"text-xs whitespace-pre-wrap","children":"すごいですね！！\nやってみます！ベーシックレベルから始めるべきですか？"}]]}]]}],["$","div",null,{"className":"flex py-4","children":[["$","div",null,{"className":"mr-2","children":["$","$L19",null,{"avatarUrl":null,"contributorName":"らじあん","adviceId":"FYA66DefEAC6gkW5GQ7m"}]}],["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"mb-2","children":["$","$L1a",null,{"contributorName":"らじあん","adviceId":"FYA66DefEAC6gkW5GQ7m"}]}],["$","div",null,{"className":"text-xs text-caption","children":"9/3 8:02"}]]}],["$","div",null,{"className":"text-xs whitespace-pre-wrap","children":"名前は忘れてしまいましたが、僕は化学はハイレベルの方でやりました。ベーシックでも、好きな方で良いと思います。"}]]}]]}],["$","div",null,{"className":"flex py-4","children":[["$","div",null,{"className":"mr-2","children":["$","$L19",null,{"avatarUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_8mYcor58xsatN9mfFhv8p2briCE2.jpg?alt=media&token=cf5f7e14-6767-4ee9-bb7d-d5876f88b5f7","contributorName":"うま","adviceId":"FYA66DefEAC6gkW5GQ7m"}]}],["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"mb-2","children":["$","$L1a",null,{"contributorName":"うま","adviceId":"FYA66DefEAC6gkW5GQ7m"}]}],["$","div",null,{"className":"text-xs text-caption","children":"9/3 18:16"}]]}],["$","div",null,{"className":"text-xs whitespace-pre-wrap","children":"わかりました！ありがとうございます🔥"}]]}]]}],["$","div",null,{"className":"flex py-4","children":[["$","div",null,{"className":"mr-2","children":["$","$L19",null,{"avatarUrl":null,"contributorName":"らじあん","adviceId":"FYA66DefEAC6gkW5GQ7m"}]}],["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"mb-2","children":["$","$L1a",null,{"contributorName":"らじあん","adviceId":"FYA66DefEAC6gkW5GQ7m"}]}],["$","div",null,{"className":"text-xs text-caption","children":"9/3 18:43"}]]}],["$","div",null,{"className":"text-xs whitespace-pre-wrap","children":"😊"}]]}]]}]]}]}],["$","h1",null,{"className":"text-xl font-semibold","children":"よく一緒に読まれている人気の回答"}],["$","div",null,{"className":"mb-8","children":["$","div",null,{"className":"divide-y","children":[["$","div",null,{"children":["$","$L7",null,{"href":"/advice/6VKmv34BTqPwDZPuLy2e","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"高二　数学を武器にしたい"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！\n私が紹介する勉強法はあくまで一例ですので、分厚い参考書は苦手、などあったら自分で変えたり試行錯誤して決めていってください。\n数学は初めから難しい問題に手をつけても結局力はつかないのでちゃんと自分に実力にあったものを順に進めていきましょう。\n\n①教科書、教科書傍用問題集\nまずは超基本のこの２つが解けるようになりましょう。公式の証明などもざっと知っておくと良いと思います。\n②青チャート\n①が終わったら、ある程度は青チャートが自分で解き進めていけると思うので、受験数学の解法をインプットしましょう。これは遅くても夏休み前までには終わらせたいです。全部は解かなくても大丈夫です。\n③過去問を用いた演習（1対1対応、プラチカなど…）\n②が終わると簡単な入試問題なら解けるようになります。青チャートで身につけた解法を使って応用問題を解くために色々な大学の過去問を集めたような問題集を使って演習しましょう。いろんな参考書があるので評判とか聞いて自分の好きなやつを選べばいいと思います。\nはじめは解けない問題も多いと思いますが、どうすれば（どんな方法を使えば）この問題が解けたのか、どうして自分は解けなかったのかっていうことを考えながらすすめてください。また記述練習、計算練習も怠らないようにしましょう。\n④過去問\n名大でしたら名大の理系数学などで演習するのが良いと思います。\n\n参考になったら嬉しいです。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 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mb-1","children":"こんにちは、はじめまして。\n東工大2年のたかゆーといいます。\n\n僕自身、受験時代に一番数学を得意としていて駿台模試で偏差値103を叩き出したのもいい思い出です。\n\nさて、今回基礎問題精講を取り組んだらどれくらいの力がつくのかとの事ですが、全ての問題を完璧に理解していれば九大や神戸大なら十分到達可能だと思います。\n\nでは、どうやって勉強していくのかというのが一番大事な事で、何も意識せずに問題を解いても力はつきません。\n\n大切なことは２つあって\n\n①とにかく繰り返し反復する\n②なぜそのように解くのかを自分で説明できるようになる\n\nを意識していく必要があります。\n細かい勉強方法は僕自身のブログでまとめているので、詳しくはそちらを見ていただきたいのですが、簡潔にまとめると\n\n①問題を音読して、1分くらいざっと解答の方針を立てる\n②答えを見て、あっているかの確認\n③間違っていた問題の解答解説を音読して次の問題へ\n\nこれを毎日続ければ、おそらくまいにち100問くらいはこなせるはずです。\n\nこれを繰り返して、解き方が完璧になったら実際に計算をしていきます。\n解き方はもう頭に入っているので、すぐと解けるかと思います。\n\n最後に、けいさんにも慣れてきたら、次はどうしてそのように解くのか(例えば変数が１つだから、漸化式が○○の形をしているから)などを自分なりに考えていきます。このトレーニングを繰り返すと、自然に解き方がわかるようになります。\n\n基礎問題精講の例題を1a2b共に夏休みで解法暗記を終えましょう。\nその後、９月、10月と実際に解きながらなぜその解法が使われるのかを自分なりに考えて数学力を磨く。\n\nその後は過去問を解いたりセンター対策をすればバッチリです。\n\n長文になりましたが最後まで読んでいただきありがとうございます。\n\n僕でよければ質問にものるので、気楽にメッセください（╹◡╹）"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"基礎固めには..."}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"初めまして。北海道大学に在籍するものです。志望されている京都大学より偏差値的には劣っていますが、数学はかなり得意だったので解答させてください。\n\n1A2Bと空間ベ+数列の極限まで基礎固めをしたいということでしょうか。高2でそこまで進んでいるのはかなり良いペースですね。\n\n個人的にはExerciseまでやる必要ないかと思います。私の考える数学の勉強のイメージですが、まずは広く全分野をできるようになってから難しい問題に取り組む出来だと思っています。\n\nまだ想像つかないかもしれませんが、例えば不等式を示す問題の中には、微分、ベクトル、有名不等式、などなど解き方は1通りでは無いことが多いです。\n\nExerciseは大学入試本番のレベルですが、そういった問題に触れる際、まだ数学の基礎で知らない知識があるという状態は非常に勿体ないと思います。\n\n大学入試数学はサバイバルなので、武器は多い方がいいのです。もしかしたらリンゴをナイフではなくカッターで切ることになるかもしれませんが、基礎が固まってない人はそのカッターすら手に取ることはできません。\n\nもちろん京大レベルを受験する人はほとんどが基礎は何も困らないと思いますが、定着度には確実に差がつくでしょう。それが微妙な時間のロスなどにも繋がります。問題で基礎は直接聞かれません。回りくどく聞かれて、それを自分の力でいろんな基礎に分解して解くのです。その時に差がつきます。\n\n今の時期は確実に、難しい問題に触れるよりも基礎を何度も何度も反復した方が良いと思います。\n長くなりましたが、例題だけを何度も回すのが最善かなと思います。\n\nまたおすすめとしては大手の予備校などの夏期講習で難しい問題を扱う講座を取るのがいいと思います。今はネットで先生の情報、評判が見れますから、そこである程度吟味して受けてみて欲しいです。\n\n講習を取ることで難問との向き合い方なども教えてくれるだろうし、何より講習という短期間でぎゅっと教わったものは記憶に残りやすいです。\n以上が数学のおすすめの勉強法です。ただし数学にこだわりすぎると痛い目をみます(笑)。高2が疎かにしがちなのが理科ですから、そこも気をつけて。\n\n合格をお祈りしています。"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の基礎固めや、青チャートをなるべく時間をかけずに終わらせるには"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"　質問されてから時間が経っているようなので、少し状況が違いましたが私が回答させていたただきます。\n　私は高校3年生から受験勉強を始めました。定期テストの勉強もまともにやっていなく、高3初めの数学の模試は偏差値50くらいでした。(詳しい事は私が他で回答したやつ見てみてください！^_^)\n　まず1a2bの基礎固めとしては河合塾出版の文系の数学をやっていました。チャートのコンパス123くらいの難易度です。それを高3の夏休み終わるまでに3周やりました。問題集をやるときにある程度、復習スピードも大事だと考えていたのでチャートがキツイようでしたらこの手もありかと思います。数3はチャートで1学期間で苦手な所からやっていきました。このとき、問題集に何かしらのチェックをするようにして下さい。復習のスピードが変わってくると思う！\n　高校2年生なので今からやってれば全然間に合うと思うよ！応用は1対1対応をやってました。その話も聞きたかったらコメントください！\n　まとめると基礎固めはスピードも重要だから中途半端になるなら薄いやつ使ってもいいんじゃない？ってことです。勉強頑張ってください！！！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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