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1b: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1c:Te4e,初めまして。
東北大学理学部のゆーすけです。

毎回満点近くというわけではないですが、ある程度の点数は取っていたので答えさせていただきます。

参考書は学校で配られていたアドバンスプラス(アドプラ)、青チャートを使っていました。

アドプラは毎日の復習に使っていました。
基礎問題で公式の確認、使い方を確認します。ただやっているだけでは力がつかないので、休み時間など時間制限を設けて速く正確に解く練習をします。応用問題も、噛み砕いてしまえば基礎問題の解き方とだいたい一緒です。思考力が必要になるので力試しとして、時間をかけてもいいので完答を目指します。答え合わせの質によってその問題を解いた価値が変わります。解けなくても長々と答えを写す必要はないと思います(学校からそう言われていれば別ですが)。それよりも、どこで間違えてしまったか、どの発想が足りなかったのかを確認することが大切です。間違えたら問題集に印を付けておき、解いたノートに解けたところまでを 」でくくっておき、答えの冊子の出来なかったところに線を引いておきます。一言加えておくのも大事です。次に解く時にそこでもう1回つまづいていないかを確認するためです。ノートはどうせ見返しませんが、答えは必ずもう1回見ます。だからノートではなく答えに書き込んだ方が効率がいいです。そうすると、1冊問題集が終わった時に答えの冊子が自分の間違えたところのまとめになります。模試ノートを作るより効率がいいと思います。

青チャートは週末など、時間がある時間に解いていました。まずは例題を脳内で解いてみます。1発で解法が分かったらその問題は解く必要がありません。練習問題も飛ばしましょう。脳内で無理だったら答えを見ましょう。それが理解できたら何も見ずに練習問題を解きましょう。例題の答えを見てどう頑張っても理解できなかったら印を付けてその問題は飛ばしてください。考えたら分かるものだったら別ですが、考えて分からなそうだったら時間の無駄です。諦める目安は3分だと思っています。諦めたら必ず次の日に友達や先生に教わりましょう。分からないまま終わらせてしまうのが1番時間の無駄です。教わって理解できたら練習問題を解きましょう。こんな感じで例題、練習問題を解いていき、EXERCISEは難しいので、出来ればでいいです。もし解くのであれば、今までの知識をフル活用して、時間をかけてもいいので完答を目指しましょう。余裕があればいろんな解き方で解いてみましょう。答えに載っている解き方でなくても、違う単元の知識を使っても解けるかもしれません。どの解き方が一番簡単か知ると模試で時間短縮になります。柔軟な発想力が鍛えられ、初見の問題に対応するのがうまくなります。

以上が僕が実際にやっていた参考書の使い方です。
学校の参考書だけで十分力がつきます。
参考書をどれだけ価値のあるものにできるかは自分次第です。今手元にある一冊を大切にしてください。

応援してます！1e:Tc00,まずセンター対策
夏頃から徐々に対策を始めていきましょう。各予備校から出ている予想問題集を片付け、そのあと過去問という流れがよろしいかと思います。難関大とは言え、センター試験は大切です。センターで出来るだけ高得点をとっておくと二次試験を余裕を持って受けられます。また、センター数学は時間との戦いです。最初は時間内に終わすのは難しいでしょうが、実践演習を積んでいくうちに時間感覚が身についてきて、本番までに時間内におわるようになるはずです。センター数学の独特の形式になれるには秋からでは遅すぎる気もするので、夏から始めた方が賢明でしょう。まずは、センター試験で高得点を取ることです。センター予想問題集としてオススメなのは河合塾から出ている黒本です。書店に行けばわかると思います。また、駿台から出ている青本もやる意味はあると思います。予想問題集はどの教科もこの2冊を使うのが良いと思います。
もちろん、基本が身についていないようであれば、教科書例題や章末問題を完璧にすることが先決です。可能な限り早く基礎を定着させましょう。
次に二次数学について。受験勉強時に僕も阪大の問題を結構演習用に解いていてたのでその時の経験を踏まえて説明しますと、まず、大問が3つですので、問題との相性に左右されることも結構あるかもしれません。しかし、大体1問目は比較的易しめの問題であることが多いので、ここはしっかり完答しましょう。もし数学が苦手ならば1完半を目標にまずは頑張りましょう。さて、本題の勉強法ですが、もし数学が苦手ならば先ほど述べた基礎固めが終わったら青チャートをやることをお勧めします。時間もないので全問解く必要はありませんが、頻出分野や自分の不得手な分野を中心に演習しましょう。オススメの分野はだいたいどこの国立でも出題されるであろう、文系微積分、ベクトル、確率、図形と式、この辺りでしょうか。チャートが終わり、もし余裕があったらプラチカなどもやった方がいいですが、無理なようならチャートをより完璧になるように取り組みましょう。その後はいよいよ過去問です。10年分くらい解くといいと思います。昔の問題に関してはネット上に1998-2019までの主要大の問題と解説が載ってるサイトがありますので、そちらから入手することもできます。過去問を何周もしてよく研究しましょう。そして、余裕があれば他の旧帝大(名古屋、東北、北大など)の過去問にもチャレンジすると良いでしょう。
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":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=GlvhMWIBp00JfyF5kKlu","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"センター数学で高得点をとる勉強法について"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",21,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"3/17 11:54"}]]}],["$","div",null,{"className":"coach-mark 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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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