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1c:T16d3,はじめまして、こんにちは！
質問ありがとうございます！　
本番の試験で目指す数学の得点率にもよりますが、6割〜6.5割のラインまでは、考えていらっしゃる勉強内容で到達できると思います。あまり多くの参考書に取り組むよりも基礎、応用などが明確に分かるものを完璧にして過去問に入る形で大丈夫です。ただ、勉強の際に注意してほしいことが３つあるのでそちらを参考にしてほしいです。
①参考書に取り組む際には必ず目的意識を持つこと。
フォーカスゴールドであれば基礎力の強化、文系数学の実践力向上であれば応用力、基礎力として身につけた力の使い方の練習といったようにそれぞれの参考書を使って自分が身につけるべきことを常に意識して取り組んでください。
②復習を徹底すること。
数学は苦手教科のようなので、基礎的な問題であっても解けない、分からないこともあると思います。特に基礎を身につける段階においては、できないものは仕方ないと割り切って考え方を身につけてください。その際に注意することは「問題の本質を意識して復習すること」と「復習をする頻度」です。
まずは問題の本質を意識するとは、ただ例題が解けるようになったから合格とするのではなく、その解放に至った経緯や設問の設定の確認をしたり、小問で誘導がある場合はその誘導を外しても解答が作れるかを確認したりすることで、問題の本質というものが少しずつ見えてくると思います。私は、こうしたことを付箋に一言だけ書いてあとで参考書を見直したり、模試の解き直しで使ったりする時に一目で分かるようにしていました。それから、その問題を他人に説明できるかどうかということを復習合格のラインにしても良いと思います。
次に復習の頻度です。あくまで一例としてあげておくので参考にしていただけると幸いです。　午前中に数学の勉強をする→その日の夜にその日勉強した内容を復習する（解法に至るまでの手順や問題の要点をチェック）→3日後にも同じことを繰り返す→1週間後にも同じことを繰り返す→1ヶ月後にも同じことを繰り返す（この時、スラスラと要点や解法を思い浮かべることができたらとりあえず身についているとしてよい）→その後は身についていない考え方を隙間時間を使って復習する。　この時大事にしてほしいのは、時間の意識です。他の科目にもたくさん時間を使いたいと思うので、実際に解答を書くのは最初の1、２回でそれ以降は読んで流れを思い出すことにシフトすると効率的に勉強できると思います。また、ミニノートなどに問題と要点だけ書いて信号待ちする時間に開いて復習するなど隙間時間で片付けてしまう勉強方法もおすすめです。
③、①に関係することですが、基礎と応用や過去問で勉強の仕方を変えてください。
基礎の時はとにかく知らないことを吸収することが必要になるため復習に時間を使い、応用や過去問では、初見の問題と対峙した際に知ってる解法に導く力をつけるために自分で考える時間を確保することが大切だと思います。最低でも15分は確保すると良いと思います。それから、復習も応用や過去問演習になると行き着く解法は基礎的な部分で勉強したものが中心になるので、そこにたどり着くためのプロセスや考え方に重点をおいて復習することが大切だと思います。

ここからは私、個人の経験談になるので時間が無ければ✴️まで飛ばしてください。
私も浪人生でした。最初は数学が1番の苦手科目でただ量をすることで力が着くものだと思っていました。しかし、上記に書いたようなことを意識して取り組むことで秋以降に数学も伸び、試験前には数学が強みになっていました。数学は模試の内容が網羅的に出題されるため一朝一夕の勉強では結果が目に見えにくい科目だと思います。その分、完璧な基礎を身につけることで応用問題や過去問に取り組んだ際に高確率で知っている解法に帰着できるようになり、成績も大きく上がる科目だと思っています。また、基礎が分かると解ける問題の幅が一気に広がると思います。
✴️数学はできるようになるまで少し時間がかかりその期間は特に大変だと思いますが、必ず覚醒する時がきます。浪人時代はもう2度と経験したくないような日々でしたが、それを乗り越えて勝ち取った合格は言葉では表現できないような喜びと達成感に溢れていました。だらけて勉強をサボってしまいそうになったら、応援してくれる友達や家族に感謝の気持ちを示すために自分ができることを考えてみてください。ただ、浪人生だからといって勉強ばかりして、精神的に限界がくることのないように気分転換の時間も作りながら、健康を第一に考えて試験日を迎えてください。心から応援しています。努力が報われる日は必ず来ます！！稚拙な文章ですが、参考になれば幸いです。1d:Tc25,まずはどの科目にも言えることですが、基礎をしっかり理解し、解けるようにしてください。

基本問題を解き、わからないところは教科書や参考書に立ち返り復習する癖をつけましょう。
そして解法パターンを身につければ、応用問題も怖くありません。

数学はとにかく問題を解けばいい、と思っていませんか？
実はわたしもそう思っていました。
なので理論もわからず、とにかく問題集（私は青チャートを使っていました）を解き、間違える日々。

しかしこの勉強法は間違っている、と浪人してからやっと気付きました。

数学には定型パターンがあります。
高校数学を難しく感じるのは、そのパターンが非常に多いためです。
なので、まずはお決まりのパターンをしっかり覚えるようにしてください。

こういう問題がきたら、この公式だな、ってすぐに思いつくレベルまでもっていくのです。

以下、具体的な方法です。

私は青チャートを使っていたので、青チャートをイメージしてお答えしますが、ご自身の使っている問題集に置き換えて参考にしてみてください。

1.まずは一通り例題を解き、公式の使いどころを覚える。（基本問題）
→数学には解法パターンがあります。こういう問題が来たら、こういう方法で解く、というのが反射的にわかる、身につく、というところまでもっていきます。
この時、公式がわからない、理解できないときは教科書を開いて理解するようにしましょう。

2.例題の下にある問題を解く（標準問題）
→わからなくてもすぐに答えなどみずに、10分は考えるようにしましょう。この時色々な公式や解法が頭に浮かべば、知識は身についている証拠です。
逆に標準問題で手も足も出ないなら、教科書に立ち返りましょう。
ここまでできれば、定期テストや模試である程度の得点は見込めます。（青チャートなら国立大やマーチレベル）

3.章末問題を解く（応用、発展問題）
→数学を得点源にしたい人、難関国立大や早慶を狙う人は最終的に解けるようにしましょう。
このレベルだとさまざまな公式を合わせて使う、複合タイプの問題になります。
この問題をやるときは、「自分がどこまでわかっていて、どこからがわからないのか」をしっかり把握するようにしてください。復習するときはできないところの例題などを見返し、できるようにしましょう。
これが解ければ模試の大問もほぼ完投できます。


このように、大事なことはとにかく、
理論を理解する
ことです。
闇雲にやって量をこなすのではなく、丁寧に時間をかけて勉強してください。
1e:Tf6b,こんにちは！京大工学部のものです。

京大の数学は、解法が分かれば解けるという問題が多いです。早稲田や慶応や東工大の数学だと、解法が分かっても、計算量が多すぎて途中で計算ミスして間違えたりしてしまいます。京大はほかに比べるとシンプルな計算で済みます。だからこそ、京大の数学では計算ミスが命取りになります。符号ひとつ間違えただけで何十点と変わって、受かるはずなのに、落ちてしまうなんてこともあります。だから日頃から、問題を解いている途中途中で計算ミスがないかを確認することが大事だと思います。全部解き終わってから見直す人もいますが、途中で計算ミスしてると、その後全部書き直さないといけないので、途中でも見直しした方が良いです。

次に勉強方法についてです。
よく言われることですが、参考書は同じものを何周もした方が良いです。それは京大数学の対策に対しても当てはまります。自分は駿台のテキストと4回分の京大模試の問題を3周~4周しました。自分にあったテキストを何回もやってください。あと模試の問題も良い問題が多いのでしっかり復習すると良いです。
自分は解き終わった問題の問題文の下に要点を書くようにしてました。要点というのは、問題の大まかな方針とか、計算のテクニックです。あまり詳しく書きすぎると二周目以降それが大きなヒントになってしまうので、あくまでも大まかに書いてました。数学にあまり時間が割けないときは、問題を解くということはせず、この要点のところを頼りに、解法とかを頭の中で再現することで、軽い復習をしていました。

最後に実際の受験でのテクニックです。
4完が目標だったら、まずは6問中3問は確実に完答するのを目指すと良いです。ほとんどの年で、6問中3問は基本〜標準の問題です。さらにその3問中の中で1問はめちゃくちゃ簡単〜簡単な問題があります。2018年なら第2問の整数問題、2017年なら第6問の確率の問題です。まずこの基本的な問題を解いてから、他の問題を見て、解けそうな2題をじっくり考えていくと良いです。
そして4完分の点数をとるなら、残りの3問でとにかく部分点を稼ぎましょう。昔の京大数学は小問がないのがほとんどでしたが、最近は(1) (2)の形式になっている問題が増えています。もし残りの3問が小問形式になっているなら(1)を解いて、(2)は自分に分かるだけのことを書いておきましょう。もしかしたら部分点になるかもです。小問形式でなくても、分かるだけのことをできるだけ答案に書くことは大事です。もちろん時間配分も十分に考えてください。
ちなみに自分は2017年に受験したのですが、6がまず簡単そうだなと思い、6を解いて、その後5も頑張ればいけるなと思い解いて、3をじっくりと解きました。解けた3,5,6をしっかりと見直して、残る1,2,4は(1)だけ解いて、(2)はまったく解法が出てこなかったのですが、とにかく思いついたことを丁寧に書くようにして151点/200点でした。

とにかく解けた問題は計算ミスがないかをしっかり見直して確実に点を確保、分からない問題も途中まではしっかりと答案に書く、が良いかなと思います。(まあ当たり前と言ったら当たり前なのですが)

自分がわかるのはこれぐらいです。合格目指して頑張ってください！2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=URn2ZmsBTqPwDZPuz90B","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"公式の証明について"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",5,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"6/17 19:42"}]]}],["$","div",null,{"className":"coach-mark 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mb-2","children":"回答"}],["$","div",null,{"className":"mb-4","children":["$","$L15",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_E911D590E37B4FFD825075B7A8F471B7.jpg?alt=media&token=fe373c22-baf9-43ee-90ea-95a4a1d44327","adviserName":"PaNDa108","adviserDepartment":"京都大学農学部","adviceId":"URn2ZmsBTqPwDZPuz90B"}]}],["$","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 mb-4","children":[["$","div","advice-part-0",{"children":[null,"こんにちは！回答させていただきます。\n\n公式の証明を覚えているとどう役に立つかということですが、正直、受験に合格するという観点では公式の証明問題が解ける以上のメリットはあまりないです！\n公式の証明では、受験数学のセオリーからみれば特殊な考え方を使うものが多く、考え方が他の問題に役立つ事も少ないのです。\n数学という学問を修める意味では、公式の証明を理解していることは重要だと思いますが。\n\nしかし、本番で公式の証明問題が解けるという一点だけで、覚える理由としては十分ではないでしょうか？\n実際の入試でそういった問題が出ているわけですし。4完を狙うなら公式の証明問題は落とせませんしね！\n\n余談ですが、三角関数の和積の公式とか、ベクトルの内積を使った三角形の面積の公式とかを、もし暗記せずにテスト中に導こうと思ってるなら、それはダメですよ！時間がもったいないですから。これはマジです！\n\n長文失礼しました。頑張ってくださいね！"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_E911D590E37B4FFD825075B7A8F471B7.jpg?alt=media&token=fe373c22-baf9-43ee-90ea-95a4a1d44327","adviserName":"PaNDa108","adviserDepartment":"京都大学農学部","adviceId":"URn2ZmsBTqPwDZPuz90B","numberOfFan":14,"clipsAvg":13.125,"adviceRateAvg":4.636363636363637,"profile":"一浪して京大農学部に合格しました。\n他には慶応理工にも受かってます。\n自分の経験を役に立てたいと思っています。\n京大理学部、工学部、東大理1、文2の友人の話等もできます。\nよろしくお願いします！\nみんな頑張れ！！"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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15:27"}]]}],["$","div",null,{"className":"text-xs whitespace-pre-wrap","children":"回答ありがとうございます。1A2Bの分の公式も復習してみてこれからの学習でも公式の証明を意識したいと思います。"}]]}]]}]]}]}],["$","h1",null,{"className":"text-xl font-semibold","children":"よく一緒に読まれている人気の回答"}],["$","div",null,{"className":"mb-8","children":["$","div",null,{"className":"divide-y","children":[["$","div",null,{"children":["$","$L7",null,{"href":"/advice/698lk2cBTqPwDZPuv37p","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学 勉強法"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"解法暗記はあまり賢い方法とは思いません。解法の暗記では、数字が変わっただけの問題なら解けるようになるかもしれませんが、基本原理が同じだけど全然違って見える問題には基本的に対処できません。そうなら、全てのパターンを覚えればいいとなりそうですが、全てのパターンを覚えている間に本質を学んでいる人は数学の勉強でさらに高みに、なんなら他の科目の勉強へと行ってしまいます。\n数学というのは頭を使いながら手を動かして学ぶ科目なので、そもそも暗記というものに適してないのです。\nそもそも、試験問題を作る難関大学の先生方は暗記だけで解けるような問題は嫌います。基礎的な考え方を理解した前提で一捻りや二捻りを加えてきます。\nですので、個人的には本質を理解して多くのタイプの問題に立ち向かって考える力を養うことをおススメします。今までの勉強が完全に無駄になる訳ではありません。理解して問題を解いていく途中で、今まで覚えてきた解法のどこが上手いやり方をしていたのかがわかり、また、怪しい方向へ思考が進むことも止めてくれるのでたまに助かることもあるかと思います。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 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mb-1","children":"\n解法の幅を広げたいなら、実際に解くことはせずに、多くの問題に触れて、どーいう解法でやるか戦略を立ててみることだけをやるやり方があります。\nそれで、しっかり解説はみて、詰まってしまいそうなところをしっかりチェックしておくことをやれば、解法の幅がでてくるとは思います。もちろん、実際に解いた方が良いですが、ほんとにたくさんの量に触れたいならこのやり方もありです。\n自分ができる解法を色んな形でまとめてみるってのもあります。\n例えば、「垂直」って言われたら何が思い浮かべますか？\n円の直径をもつ三角形、sin・cos、法線ベクトル、\n座標面の傾き-1、など色々あげられますよね。\nこーいう風にあげていくことで、実際の試験で、柔軟な対応ができてくると思います。\nあとは、「数列の和」「最小値・最大値の求め方」なんかはまとめがいあると思います。\n\nまた、過去問やるのは、おそらく思ってるよりも効率いいですよ。傾向を知れるのもそうですが、慶應が好きな解法を知れるのがでかいです。先ほどのように、慶経・SFCの好きそうな解法をまとめておくのもありです。それと、慶経は誘導ついてあるんで、しっかり誘導に乗る実力も大事になってきます。過去問だとそこも練習できますよね。\n\nどっちつかずになってしまいましたが、個人的には過去問推奨派です。上記のこと参考にしてみてください。\n\n元も子もないこというと、数学は、ここまできたら、本番の試験でできるかどうかなんですよね😅\nいや、自分ができる問題が出題されるかってところでしょうか？\nめっちゃ数学が得意で、常に凄い点数叩き出せる人以外は、全然できなくて、凄い低い点数取ってしまう可能性充分あります。でも、その逆も然りで、できる問題めっちゃでで、高得点取れる可能性もあります。\n実際、自分が一橋の過去問で1番の点数取ったのは、1番最初にやった時でした笑笑\n5問中4完半とかいうバケモンみたいな正解率でしたね笑笑\nでもそこからは、1〜2問完答できたらいい方で、1個もあてないこともざらでした。本番は３完半々と健闘はしました。\n要は、他の科目より、運要素が強いと思います😅\n\nなんとか、自分の得意なところがでるように祈ってることも大事かもしれません！笑笑"}],["$","div",null,{"className":"flex 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