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1c:Tde2,数学が得意で、かつ復習でしたら、少し難しめの問題を解いてみてもいいかもしれません。考える時間が長くなればなるほど勉強したことが定着しやすくなります。

例えば、学校の問題集すべてをやるのではなく、発展問題、章末問題があるならそれだけをやればいいです。勿論難しめの問題なので少ない時間ではできる量に限りがありますが、そんなに量をこなす必要はありません。応用問題は1問で基礎事項をいくつも含んでいるからです。また、難しめの問題と対峙して目の前の1問に対して深く考えることは、直接的な入試対策もなるので、復習を兼ねていても短期間で終わらせる必要はありません。
ここで、基礎事項が分かっていないことが原因で応用問題が解けない時、その応用問題に不毛な時間を使ってしまうのでは、と思うかもしれませんが、不毛ではありません。応用問題についてよく考えた後に基礎事項を見ると、基礎事項への理解が一段と深まります(典型的な応用方法やその原理など)。すると、基礎事項も忘れにくくなります。(例えば(x^2 x 1)/(x 1)のx>-1における最小値を求める問題で相加相乗平均の関係を忘れていたとしても、答えを見て
-1 (x 1) 1/(x 1)の形に変形して相加相乗平均の関係を使えばいいことを学べば、相加相乗平均の応用の幅広さを理解でき、これから使おうという気になるでしょう)
更に、結局問題が難しくて解けなかったとしても、少しでも手がかりが見つけられたなら十分な努力だと思っていいです。逆に手がかりが全く見つからない場合、僕がよくやってたんですが、解答の1文目だけ見てそれをヒントにして続きの解答を作る、というのもおすすめです。解答の一部分でも自分で作成することができれば大したものです。

学校の問題集に発展問題などがない場合や、自分にとって簡単な場合、別の問題集を使うことになります。チャートやフォーカスゴールドはかなり広い範囲の難易度の問題が載っているので、おすすめです。この場合もすべての問題をやると時間がかかりすぎるので、見て大体解答の流れが頭に思い浮かぶ問題は飛ばして大丈夫です。また、チャートやフォーカスゴールドの、特に章末問題にはかなり難しい問題もあるので、やる気を失いそうな場合は1回目は全く手が出ない問題を飛ばしても構いません。
実際に書店で中身を見てみて章末問題が全て簡単だと思うならおすすめできませんが、そうでなければ十分買う価値はあると思います。
ちなみにチャートとフォーカスゴールドは難易度も扱う問題の傾向もほぼ同じなので、どちらにするかは好みの問題です。

最後に、問題を解いていった後で基礎事項の抜け漏れを完全になくしたいと思ったら、学校で使っている教科書がおすすめです。問題を解いていけば大半の基礎事項は頭に定着するので分かっている内容が多いために読むのも速くなるし、抜け漏れにも注目しやすくなります。

長文失礼しました。1d: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。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=eldunqNZCcuAQK0I3l4W","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"解答が分からない"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",3,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"12/20 15:38"}]]}],["$","div",null,{"className":"coach-mark 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mb-1","children":"早稲田文学部のぷらんたんと申します。\n\n相談者様のお気持ちとてもわかります。\nこんな状態で質問にいっても先生にとって迷惑ではないのか……と遠慮してしまうときもありますよね。\n\n\n敷居が高い場合は知っている先に友達に聞くといいと思います。友達もわからない場合は一緒に聞きに行くこともできるし、その問題に対する友達の理解も深まります。\n\n友達に聞くのも……と思うなら先生のところに行きましょう。\n質問に行くことで自分のことを覚えてもらえる、気にかけてもらえるというメリットもできます。\nその際はここまではわかったけど、ここからがわからない、解説を読んだけどこの部分が理解できない、など自分のわからないを具体的にしてからいきましょう。\nその方がスムーズに問題解決に繋がります。\n\n英語も数学もどの教科にしても、まずは自分で頑張って理解することを心がけましょう。\n参考書を読む、解説を読む、もう一度解き直すことでわかるかもしれません。\nそれでもわからないところは自分の手に負えないところです。先生や友達の力を借りてわからないを潰しましょう！\n\n\nなにか参考になりましたら幸いです。\n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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"他の問題集が解けない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは☺️\n\n予備校のハイレベルクラスによくあるのは、夏以降の問題演習やテキストのレベルが格段に高くなることです。だから、自力で解けないことは当たり前、自然であると考えた方がよいのです。\n\n解ける問題集をやっているだけでは伸びる成績も伸びません。わからない問題に出会い、新たな考え方や解法に出会うこと、それを糧にして次の問題に生かすことが成長ではないのでしょうか？自分と同じレベルの問題で正解して得られるのは安心感だけです。\n不安と焦りの中、得られるものは全て得る。\nそれくらい追い込んでいくことが必要になってきます。\n\nただ、解説読んでも理解できない内容の問題はやる意味がないです。解説を読めば理解出来る問題集を行うことが飛躍に繋がるので、しっかり見極めてください。\n\n質問者さんが持っている問題集が終わり、復習も終了すれば、次のテキストや過去問演習に移行しますよね。そうなれば、もっとわからない問題に直面します。それこそが成長のきっかけです。そう考えながら問題に出会ってください。\n\n長くなりましたが、質問者さんの不安は多くの受験生が通るものです。自分のレベルと同じ問題を解き続ける必要はないです。オーバーワークにならないこと(上に挙げた解説を読んでもチンプンカンプンになるレベル)だけを意識して、どんどん新しい問題にチャレンジしてください。\n健闘を祈ります！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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mb-1","children":"はじめまして！\n\n解答を見ても解き方がわからない場合は、その問題が自分のレベルにあっていないのかもしれません。もう少しレベルを落として、自力では解けないけれど、解答を見たら理解できる問題(同じ分野のもの)に取り組んでみてください。\n\n\n様々な問題に対する向き合い方についてまとめてみました！\n\n1.解答を見ずに自力で解ける問題→既に身についているから何度も解く必要はない。\n\n2.自力では解けないけど解答を見たら理解できる問題→解答を見て理解した上ですぐにもう一度といてみる(解答を見ずに)。数日後、自力で解いてみる。これで解けたらもう身についています！解けなければ、もう一度解答を見て解く、数日後自力で、、、を繰り返す。\n\n3.解答を見ても理解できない問題→自分のレベルにあっていない可能性があるので、レベルを落とした問題に取り組んでみる。また、解答の中で分からない部分はどこなのかを明確にして、学校の先生や塾の先生に質問する。\n\n自分のレベルアップに大きく貢献するのは、2の問題です！この問題をきちんと自分のものにしたら、次のテスト等で出題されたら自力でとけるはずです！\n\nただ、やみくもに解答を丸暗記するのでは意味がありません。(似た問題への応用の幅が狭くなってしまいます！\n)\n\n解答を見て理解する際には、解答の中のポイントをしっかり掴むことが大切です。\n\n例えば絶対値と整数が等式で結ばれた方程式を解く際は、両辺を二乗して解きますね。この場合、「絶対値の計算では二乗する」ことがポイントです。\nもちろんひとつのことに対してポイントがひとつとは限りません(むしろ、たくさんポイントを持っているととても強いです！)。\n\nまた、人によってポイントと思う部分は違います。自分がポイントだと思ったところにに蛍光ペン等で線を引いて、そのポイントを覚えてください！\n\n数学は覚えるだけでなく、多様な問題を沢山解くことで徐々に力がついて行く科目です。勉強し始めてすぐには結果は出ないと思います。\n\nですが、あきらめず地道に頑張ってください！絶対にいつか結果になります！！\n\n\n時間は有限なので限りある時間を有効に使いましょう！\n\n応援しています。頑張ってください！！"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"塾か学校どちらを信じるか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"実はこれ良くあるパターンなんです。\n\n今まで解けたレベルの問題が受験直前になって解けなくなる。\n私が担当していた生徒からも良く相談されました。\n\n対策としては、基本的な問題を解きまくってください。\n理由としては\n①自分の実力がわかる。\n（恐らく模試の難しい問題にショックを受けて自分がどのレベルの問題なら解けるのかがわからなくなってしまっているのではないでしょうか。まずは出来る問題を解きまくって問題を正解させる感覚を思い出しましょう。なにより自信を持ちましょう！これまで相当の努力を積んできたはずなので。）\n②模試の難問がなぜ出来ないのかがわかる。\n（数学の演習をすれば分かると思いますが、どんな難問も基本的な問題をひねったものです。基本的な問題が分かることによって難問と基本的な問題のどこが違うのかがわかります。すると、簡単な問題を解くことで難しい問題が出来るようになるという不思議な現象が起こります。）\n\n\nいろいろ書きましたがとにかく自信を持ってください！実際に偏差値も上がっているなら、いままでやってきた勉強が意味ないはずがありません！\n\n直前期は勉強法等で迷うことが多いと思いますが、周囲の助言を受けて自分で判断してください。そして自分の判断を信じてやりきってください、頑張る受験生を塾や学校の先生は絶対支えてくれるはずです。\n回答になってますでしょうか。重ねて質問等ありましたら遠慮なく聞いてください。"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"答え見てもわからない問題"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！東工大理学院のひろと申します！\n\n数学で、答えを見ても分からない問題がある時の対処法をお伝えしようと思います！\n\nまず、教科書に載っている基本事項が抜けていないか確認しましょう。大抵の問題は基本事項を抑えることが出来ていれば、解説を読めば理解出来るはずです！それでも分からないという場合は数学の先生に聞くなどして解決しましょう。その際も、ここまでは理解できたが、その先が分からないという聞き方をするとスムーズで仕事が早いでしょう。\n\nでは、教科書に載っている基本事項を抑えるとはどういうことなのかをお伝えします。まず、大切なのは公式を一通りマスターすることです。もちろん公式の丸暗記はよくありません。なぜその公式が導かれるのかを自分で説明できるようになって初めてその公式をマスターできたと言えるでしょう。実際に僕は公式は無理に暗記せず、なんとなくで覚えて全て導出できるようにしていました。あとは、問題を解いていく中で自然に使えるようになります。覚えようとして覚えるのではなく、使っていくうちに覚えるのが効率が良いと思います。また、公式をマスターした後に解く問題は教科書の例題程度で構いません。教科書の例題は舐められがちですが、重要な例題が沢山載っているのでしっかりマスターしましょう。その後は、教科書の章末問題、網羅系参考書といった順番で進めていくと良いでしょう。僕は網羅系参考書でFocusGoldを使っていました。この流れで進めていけば大抵の問題で解説を理解することは可能だと思います。(初見で解けなくても)\n大切なのは、丸暗記しないことです。数学は暗記科目ではありません。必ず思考のプロセスがあります。それをおろそかにするといつか難しい問題に当たった時に行き詰まります。そうならないように、日頃から思考のプロセスを意識して数学の勉強をしてください。思考のプロセスとは、何故そのような変形をするのか、何故その公式を使うのかなどのことです。これを説明できるようになると、数学の力がどんどん上がっていくでしょう。\n\n最後に、何故そうなるのかを意識しながら数学の勉強を進めてください。分からないことがあれば基本事項に立ち返って、周りの人に頼りながら頑張ってください！良い結果が出ることを心から祈ってます！！"}],["$","div",null,{"className":"flex 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