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1c:T11df,こんにちは。かつて苦手だった数学が、塾なしでの受験勉強を通じて大きな得点源へと変わった私の体験をお伝えします。網羅系の参考書は非常に有用で、一冊を徹底的に使いこなすことは、いくつもの参考書に手を広げるよりも効果的です。ここまで努力してきたあなたの頑張りは決して無駄ではありません。よくがんばりましたね。


数学の本質と入試の現実

数学は単なる解法の暗記科目ではありません。特に、京都大学のようなレベルの高い入試では、誘導の少ない問題が出題されるため、答えを丸暗記する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、京都大学の過去問を解いてみると「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でしょう。京都大学といえば良問で有名で、最高峰の教授陣によって練りにねられた問題は耽美的な美しさまで感じます。


思考力を鍛える勉強法

このような問題に対処するための最善策は、思考力を鍛えることです。具体的には、現在のレベルより少し上の問題に挑戦してみることが重要です。参考書選びの際には、以下の二点に注目してください。


１．参考書の選び方

　・網羅系参考書ではなく、入試問題が多く収録されたレベルの高い問題集を選ぶ。  
　・例：駿台文庫の『ハイレベル数学完全攻略』、河合塾の『プラチカ』、Z会の『理系数学の核心』など。  
　・また、解説が充実しているものを選ぶことも大切です。実際に書店で中身を確認しましょう。

２．具体的なおすすめ：駿台の『ハイレベル数学完全攻略』

　・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。  
　・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。


３.　私の経験談

私自身、学校配布の網羅系参考書「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」に取り組み、最終的に現役で東京大学に合格しました。ハイ完を始める前は、東大模試の数学は平均点程度でした。しかし、ハイ完を取り入れることで思考の幅が広がり、次第に数学でわからない問題はほとんどなくなったため、得点源に返り咲きました。実際、京都大学を受験する友人にもハイ完を勧めたところ、彼も数学が飛躍的に伸び、本番では６問中５問を完答するという成果を上げました。どうやらハイ完の効果は私だけではないようです。


まとめ

これからの勉強では、基礎の反復だけでなく、すでに培った思考力を活かし、数学の道具を自在に操る力を養うことが重要です。そのために、少し上のレベルの問題と、解説が充実した参考書を選びましょう。私の場合は『ハイレベル数学完全攻略』が非常に効果的でしたが、書店でいろいろな参考書を実際に手に取って比べてみることをおすすめします。そして、今までやってきた網羅系参考書は辞書のように定期的に見返し、補助的に活用してください。


補足：共通テストについて

共通テストで思うような点が取れなくても焦る必要はありません。共通テストの数学は思考が制限された読解問題などが多く、京都大学の問題とは求められる能力が異なります。京都大学の数学を見据えた学習を進めれば、共通テストでも自然と点数がついてくるでしょう。


このような勉強法と考え方が、あなたの数学力向上の一助となることを願っています。また何かありましたらぜひ。1d: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！👍2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=blGzpH0BTqPwDZPuP2vo","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数学はどのように勉強されていましたか"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",34,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"12/10 23:15"}]]}],["$","div",null,{"className":"coach-mark mb-4","children":"UniLink利用者の80%以上は、難関大学を志望する受験生です。これまでのデータから、偏差値の高いユーザーほど毎日UniLinkアプリを起動することが分かっています。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":null,"clientUserName":"ラミレス","infoString":"高1 大阪府 京都大学法学部(68)志望","adviceId":"blGzpH0BTqPwDZPuP2vo"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"こんばんは、京大志望の高一です。自分は数学がすごく苦手で毎回定期テストは一桁、模試は偏差値30代です。京大に一歩でも近づくためにこの冬に全力で勉強しようと思っています。自分は中学の分野から理解ができていません。自分はこれまでただ問題を多く解くといったやり方で数学を勉強してきましたがこのやり方で成績はあがると思いますか？解法を暗記するなどの勉強法も見つけたのですが先輩方は数学をどうやって勉強されていましたか?"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}],null]}],["$","h1",null,{"className":"text-xl font-semibold 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mb-4","children":[["$","div","advice-part-0",{"children":[null,"私も高一まで数学は偏差値40ちょいくらいでした。私は、進研模試(簡単めの模試)の過去問を10年分、先生にもらって解きました。ちなみに、10年分を1年ずつ解くのでは無く、大問1を1年ずつ解いて解説を読んで理解して、次の一年分、で10年分。次に大問2を…というふうにやりました。そしたら気づいたらわりとたくさんの範囲を網羅できたので、オススメです。そしたらその後は、いろんな参考書などを少しずつ難易度をあげていけばそのうち成績も上がると思いますよ！\n説明が下手ですみません！頑張ってください！"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_17A85066D48C4B30B86003C6E5890C94.jpg?alt=media&token=50a24217-5748-47dc-a8c3-d509396b6bfa","adviserName":"あおい","adviserDepartment":"東京大学文科三類","adviceId":"blGzpH0BTqPwDZPuP2vo","numberOfFan":23,"clipsAvg":9.174418604651162,"adviceRateAvg":4.47410358565737,"profile":"東大推薦\n\n・受験科目(センター)\n国語(現代文、古文、漢文)、数学(２Ｂまで)、英語、社会(世界史、地理)、理科基礎(生物・物理基礎)\n\n・受験科目(私立)\n数学、国語、英語\n\n得意科目:文系数学\n"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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mb-1","children":"高校数学って思考力というより、どれだけ解き方覚えているかみたいな感じなので、中学数学とは少し違う感じがします。対策としては、黄チャートや青チャートなどの基本例題を自力で確実に解けるようにすることが1番点数が伸びると思います。最終的に受験生の中で差が付きやすい部分は応用問題というより、基本的な問題です。ですから模試は差が付きやすい典型問題を多く聞いてきます。効率良く点数を伸ばしたいなら、基礎を確実に押さえることです。その上で、ひとつの問題がに対して、ひとつの解法だけではなく、複数の解法を身につけることも重要です。共テは同じ問題でも違うアプローチが出来るかを問うてきますし、応用問題が解けるようになるためにもかなり重要です。\n以上から、まずは基本問題を確実に解けるようになること、そしてひとつの問題に対して複数のアプローチを身につけることを意識して参考書に取り組んでみてください！私も小中と数学苦手で1番点数悪かったですが、高校では文系の中だと上位の成績をキープしてましたよ。阪大の文系数学は応用問題よりも基本問題を多く問うでくるので、安心してください！地道にコツコツ頑張りましょう！"}],["$","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":"こんにちは！ご質問ありがとうございます！\n志望大への熱意と向上心、本当にすごいと思います！\n私も数学がとても苦手だったのですが、一橋大学に合格することが出来ました。\n私がどうやって勉強したか、少しでも参考になれば幸いです。\n\nまず1、2年生のときは授業の予習とテスト勉強が中心の学習方法を行っていました。当時は理系進学を希望していたこともあり、テスト期間ではなくても1日1時間ほど数学にあてていたと思います。\n使っていた教材は「サクシード」です。これは学校指定の教材で、テスト前に宿題として出されていたので、間違えた問題を何回か解いていました。\nまた赤チャートも持っていましたが、参考書として見る程度でそこまで活用はしていませんでした。大阪大学志望とのことなので、黄か青チャートが適切だと思います。\nテストや模試で間違った問題はノートに書き写し、模範解答もまずは写していました。その際解答方法が複数あれば全て記入しました。色々な切り口を知っておくと別の問題でも応用できるので、模試の模範解答は全部読むことをおすすめします！\n大切なのは同じ間違いを繰り返さないことです。\n\nもう少し先だとは思いますが、受験生のときの話もしますね。\n3年生の夏までは基礎固めが大事だと考えていたので、授業で扱った問題の復習を良くしていました。学校オリジナルの問題集に印をつけて繰り返しやっていたと思います。\nまた少しずつ過去問にも取り組み始め、1回につき大問1つずつ数学の先生に添削をしてもらっていました。初めは本当にわからなかったのですが何ヶ月もかけたことで冬頃から初見の問題も8割くらい解けるようになりました。過去問は特に何度も何度も解き直しました。\n\n大阪大学は年によって数学の難易度がかなり違っていて、簡単な年はみんな高得点で難しい年はみんな解けないことが多いと聞きます。ですのでまずは基礎的な問題が解けるようになることが、周りに差をつけられないために大切です。入試問題は発想が大切で、ここさえ気づければ解けたのに！ということがよくあります。まだ早いですが勉強を続けて数学の力が少しずつつき始めたら、他大学の過去問に取りくんでもいいと思います。\n\nまだ1年生ですし、時間はたくさんあります。\n私は3年の秋までE判定でした！\nいつか必ず結果が出るので、焦らずコツコツ積み重ねてみてください。\n応援しています！！"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学が得意になりたい！"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"私の場合あげておきます。\n数学の勉強法は完全予習型、高2の夏には数Ⅲまでfocusgoldの章末あたりまでを終わらせて高2の残りをひたすら自分の好きな問題してました、数オリおか、黒チャートどれくらいできるかなみたいな。高3になって半年6月あたりまでで２次過去問、あとはセンター終わるまで数学は息抜き程度です。\n数学が好きとのことなのでおそらく参考書の問題は理解できるしまぁまぁ演習さえ重ねればちゃんと解けるようになるレベルかと思いますのでこれは章末などを利用して演習をしましょう。またこれは授業の進行にあわせてもいいですが必ず授業よりは遅れることなく進めるほうがいいです。そしてそれとは別にいろいろな数学の有名問題について触れることをオススメします。(有名問題っていってもあばうとすぎますがね。。例えばtan1°は有理数かどうか(東大の過去問))こういうのは解き方を知らないと厳しい問題が多い上、それを背景とした問題が作られやすいです。\nそのため早い段階から多くの有名問題に触れておく必要があります。\n個人的にオススメなのは「高校数学の物語」っていうサイトです、調べれば一発で出る上、数学が好きならばもしかすると知ってるかもしれません。普通に解説も素晴らしく有名問題もちょいちょい扱っているので見てみるのもいいかなと思います"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":"苦手な数学を克服したい……"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"はじめまして。私も昔数学がとても苦手で、模試でも足を引っ張っていました。そんな私でも共通テスト数1A、2Bともに9割を超えることができた勉強法なので、かなりおすすめです。\n\nまず、数学が苦手だという意識を変えるために基礎を完璧にします。\n具体的にはフォーステップのアッサリスク付きの問題を(習っている範囲で大丈夫ですが)全て解きます。問題を解いた後は丸つけと解説（学校で解答が配られている場合）を読み、間違えた問題に印をつけます。この時、答えは合っているけれど解法が寄り道しているものもチェックしておくことがおすすめです。一通り終わったあとはこれを何度も繰り返します。繰り返すうちに自然と数学の問題の傾向が頭に叩き込まれ、多少問題の形が違うものにも立ち向かうことができるようになっています。\n\n大体の問題が解けるようになったら（大体3週）、青チャートをまた同じ方法で解き進めていきましょう。青チャートはフォーステップよりも解説が詳しいので、解説を必ず読むように心がけてください。\n\n青チャートのほとんどの問題を自分で解けるようになったら、次の参考書に移ってください。高校の先生におすすめを聞いてみるのが良いと思います。私は河合塾の文系数学の赤をやっていました。\n\nまた、これは質問と趣旨がズレますが、あくまで志望校に受かることだけを目標とするのなら、志望校の入試方式がどのようなものなのか（推薦、一般はどのような科目がどのような比重で見られるのか）を意識して勉強計画に反映することが大切です。\n\nはっきり言って私は高1の時勉強なんて二の次だったので、きっと今から受験を意識している質問主さんなら、受験も大丈夫だと思います。大変だと思いますが、頑張ってください。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"文系数学の勉強法について"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"慶應経済のものです。\n自分も数学受験ですのでお答えさせていただきますね。\n\nさていきなりですが、問題を解くときどのように解いていますか？もし、解く→答えを見る→採点する。これだけで終わっているなら伸びるわけがありません。『高校数学は暗記だ』などと言ってる人をたまに見かけますが、基本的に数学は理論です。解くだけではなく理解して初めて身につく力となる学問です。ですから解いて答えを見て採点した後に、じっくりと解説を読んでください。そしてじっくりと読んだ後、解説を見ずにもう一度問題を解いて、解説の解き方を再現できるようにしてください。この一手間を加えるだけでかなり理解度が変わってきます。\n\nそんなのもうやってる！って場合は、焦らないでください。もしこのやり方がきちんと出来ているならば身につかないはずがありません。それはただ問題の練習量がちょっと足りないだけです。でも今の時期からやれば必ず間に合います。だからこそ焦らないでください。精神的な話になってしまいますが、自分はできる、と思い続けることはかなり重要です。もしすぐに点が伸びなくて悩んでしまっても、『きちんとしたやり方でやってるから大丈夫。もう少し頑張れば必ず点は伸びる』と自分を信じてください。焦りや不安は自己嫌悪につながり大変よろしくないです。是非自分を信じてあげてください。\n\n最後に具体的なことになりますが、夏休みには一度自分の志望校の過去問を見ておくといいと思います。自分と志望校の距離が掴めますし、練習とは違った生の問題、本当の試験としての問題を見ておくことは今後の勉強のモチベーションに関しても学力向上に関しても重要です。また、志望校が早慶であるならば、日東駒専あたりの同じ学部、あるいは問題の出題範囲が似ている大学の過去問を解いて行くといいです。難易度が下がりますので志望校よりも簡単に解けるはずです。是非とも頑張ってください。\n\n心から応援しています"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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