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1c:Tf48,初めまして！慶應大学経済学部A方式に合格したものです。(商学部も受かりました。)
僕は元々東京大学をめざしていたこともあり、数学は比較的得意だったので、アドバイスが出来たら嬉しいです。
慶應大学経済学部の場合、マーク部分(すなわち、第1段階選抜の点数に含まれる)に確率があります。僕自身、確率が非常に苦手で、これといった対策から逃げていましたが、共通テスト、慶應大学本番ではどちらも確率で満点をとることが出来ました。そこで僕が行っていたことについて書いていきたいと思います。(整数は後半で)
まず、けんたろうさんが挙げてらっしゃる参考書をやったことがないので、二者択一は僕にはできません(申し訳ないです) しかし、慶應経済の場合確率はカラクリに気付けば一瞬で解けてしまうが、そのカラクリに気付くのが難しいという問題が多いです。そのため、まずは基礎を徹底することが近道だと思います。僕自身先に述べたように確率が非常に苦手応用問題の対策から逃げてしまって東大の本番の確率は解き切る事が出来ませんでした。しかし、基礎だけは見直しておいたおかげで、他の分野に通づるような発想力でカラクリを見抜き、慶應経済の確率は満点を取れたので、基礎固めを行ってください。確率は、自分が何が分からないのかが分からない分野の最たる例だと思っています。そのため、何が自分を出来なくさせているのかをしっかり分析しましょう。アバウトな解答になってしまい、申し訳ないですが、これが一番の近道だと思います。
そして次に整数についてです。受験数学の整数はかなりパターン化されています。つまり、定石をどれだけ知っているかが鍵になっていると思います。東大や一橋の整数は一筋縄には行かない問題が多いですが、それでも次の三つを使いこなせばできるものが多いです。
①因数分解 ②余りに着目(modを使いこなす) ③範囲を絞る
の3つです。
①の因数分解は、例えばa^2-b^2が素数である、というものでしたら(a-b)(a+b)が素数になるのでa－bかa+bのどちらかが1になるとすぐに分かります。
②の余りに着目は、例えばN^2であれば3で割ったらあまりは0か1にしかなりません。(試して見てください)これが案外使えます。こんな感じで余りに注目します。
③の範囲を絞るは、問題の条件から文字式についてどこまでの数を取れるのか、逆にどこまでしかこの文字は動かないのかを精査することで解答を絞れます。
と言った感じで整数はパターンです。これを意識してみてください。
最後に、僕自身、けんたろうさんが言っていたような東大志望の者でした。そして、周りの結果を見てみると、一橋に受かった友達は全員慶應経済に補欠、または不合格でした。それくらい経済学部Aは難易度が高く、クラスの友達にも28人中5~6人ほど理系がいます。そのため、数学は相当力をつけておくべきです。参考書で言えば、文系数学の良問プラチカ位まで必要だと思います。(僕は東大において数学で圧倒するためにその上の上級問題精講まで手を出したました。)ただ、慶應経済の数学の特徴として時間が超絶足りない、終わるわけない、ことが挙げられるので、難易度と同じくらいに解くスピードを意識すると良いと思います。1d:Tef4,今年の東大模試の文系数学で全体6位を取り、現在は仮面浪人をしている者です。
質問に答えさせていただきます。
京大文系数学は20年程度解きました。

以下、「標準的」「解きやすい」といった表現はは京大文系数学の本試験の問題を基準に考えるものとします。

京大文系数学ですが、2021年以降は易化傾向にあることはご存知だと思います。具体的には、問題の難易度は標準的なものが多いぶん、計算力や論理性（必要条件・十分条件の使い分け）が重要になったということです。これは、数学が苦手でも愚直な努力（※1）をすることで合格点がとりやすくなったことを意味しています。

※1　過去問や問題集を反復し、計算を含めて早く正確に解けるようにする・不安な箇所は添削を受ける、といったいわゆる”普通”の勉強を指します。

数学が苦手ということなので、恐らく4割〜6割が目安になると思います。座標・微積分の問題は過去問の何十年を通して頻出であり、解きやすい問題が多いため、座標・微積分（+その他の比較的簡単な問題）で完答を狙うことが最適かと思われます。
今年の場合、座標・図形（第3問・第5問）+比較的簡単な問題（第2問）の3問のうち2問以上を解き切る、といった感じです。

これまでのことを踏まえると、以下のような勉強の進め方がお勧めです。（具体的に今どのような勉強をされているか分かりかねるので、質問者様の状況に応じて不要な部分は省いて考えてください！）

①入試標準レベルの問題集（文系プラチカやスタ演など）の問題を20分以内に解けるまで何度も反復する。

学校や塾などで質問できる環境がある少しでもある場合はスタ演がお勧めです。易〜標準レベルの問題・計算力が必要な問題が多く載っているからです。
「京大の問題では定石が上手く使えない」とのことですが、そういった場合はスタ演レベル（≒京大入試で易しめの問題）の問題を解いて定石を使う経験を地道に積むのが最適だと思います。
間違えた問題は解き直すだけでなく、その問題を解くために必要だった考え方（例:平面図形で90°が出てきたら三角比の利用を考える）を解答解説のページや専用のノートなどに残しておくと幅広い問題に対応しやすくなります。


②別の問題集や他大学の過去問で座標・微積分の問題のみをやる

座標・微積分はどの大学でも出題頻度が高いので、かなり対策しやすいと思います。東大文系・一橋・旧帝文系の過去問から座標・微積のみを選んでやるのがお勧めです。これらの分野は具体的な問題を通して計算力を鍛えることが最も重要です。自分の場合、計算処理がスムーズにできるまで同じ問題を何度も解き直すことで計算力を付けました。
座標・微積は、その場での思いつき（※2）が必要とされないぶん、愚直に計算力を付ければ、安定して得点ができる分野です。

※2 整数問題で実験をして規則性を見出す、場合の数で数え上げを工夫するなど


成績を拝見させていただきましたが、京大に現役合格する力は持っておられると思いますし、数学が人並みにできるようになれば合格がさらに確実なものになると思います！

是非頑張ってください！！1e:T1034,こんにちは！確率は苦手な人が多い単元ですよね🥲

まず、定石は覚えるべきです。ただ、難しい確率の問題を解く時には、青チャート的な定石ではなく、その一個上のレベルでの定石を知っておく必要があります！確率が苦手な人はだいたいここで詰まっていることが多いイメージです⭐️

加えて、当然経験値もかなり重要なファクターです。計算が重くなったり、場合分けが多くなったりしがちな範囲なので！最初に解き方の見通しが立たないと解きづらい問題も多いですし、「量をこなす」と「パターン化する」の両方を普段から意識する必要があります。

そこでおすすめなのが、YouTubeにあるMathematics Monster というチャンネルの動画です。僕はこれで確率の難しい定石を学びました！ネット上で問題の一覧もPDFで掲載されているので、印刷したりダウンロードしたりして取り組むことをお勧めします💪🏻

一見海外のチャンネルと思いがちですがちゃんと日本人で日本語なので安心してください！

Mathematics Monster上に確率の問題は32題あり、その全てに解説動画があります。網羅性も非常に高く、解くためのポイントもしっかり喋ったりメモしてくれているので、量とパターン化の両方を同時にこなすことが可能です！

一方で注意点を挙げるとすると、問題の難易度はかなり高いです。青チャートなどを終えていないと、初見で解ける問題は少ないかもしれません。ただ、何度も解いたり解説を聞いたりすることで、確率は絶対得意になります！僕自身がそうだったのでこれは確信を持って言えます！
あとは少し問題が古いです。(過去問演習と被りづらいともいえます)

次に確率だけを扱った参考書についてお答えします！
あくまで個人の意見なので、気になるものは実際に書店で確かめてみてください⚠️⚠️

①合格る確率
これはMathematics Monster と併用するのも有りです。確率は計算がしんどくなりがちな分野なので、合格る確率をこなしておくことで計算ミスを減らしたり、計算にかかる時間を短縮できるメリットがあります。
確率には問題を解くための定石だけでなく、ある程度は計算のパターンも存在します。それをこれで学ぶことができます💪🏻(ただ、計算はMathematics Monsterでも十分過ぎるほど学べます)

②ハッと目覚める確率
これも受験生時代にやっていたことがありますが、ネット上での評価は過大評価だと感じました。(⚠️あくまで個人の意見です)
もちろん解けば力になりますが、Mathematics Monster で十分なように感じます。ただ、ハッと目覚める確率の方が易しい問題が多いのが特徴です！

③標準問題精巧 場合の数・確率
分野別で売っている水色のやつです。網羅性も高く難易度も幅広く、難しめの定石を学ぶのには良いと思います。ただ、問題数が多いので時間がかかることが難点です。

④解法の探究・確率
大学への数学シリーズの参考書です。いわゆる大数の解き方やフォント(初めてだと少し戸惑うかもしれません)が使われています。それに抵抗がなければ非常に良い参考書です。
ただ、問題数がめちゃくちゃ多いので、覚悟を持って取り組んでください！

偉そうにレビューを色々と書かせていただきましたが、個人的には青チャートなどの網羅系→Mathematics Monster が時間的にも量的にも1番のおすすめです。

確率が得意になると数学への不安感がかなり解消されます！
ぜひご参考になさってください⭐️応援しています📣2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=ClL_e4EBTqPwDZPuWJEx","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"共通テスト数学Aで山張っていいのか"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",2,") コメント(",2,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"6/19 21:45"}]]}],["$","div",null,{"className":"coach-mark 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mb-4","children":[["$","div","advice-part-0",{"children":[null,"こんにちは。\n\n解く問題を固定することは、確かに共テ数学に関して言えば有効な手段といえますが、過去問を通していくうちに特定の分野が異常に難しい/簡単な年が出てくると思います。\nそういった場合ではヤマを張り予定していた問題を解き進めるより、思い切って問題を変えてしまう方が結果としていい点数になる場合があります。\n\n私個人の感覚だと、確率はどうしても計算が合わない時があったり、問題の性質上自分の出した答えが正解のように見えてしまったりするので穴埋めを解く上であまりおすすめできません。\n\n整数は二次試験でも出題が非常に多いので、(これに関しては確率も同じですが)実際に解くかどうかに限らず問題に触れてみるべきだと考えます。\n\n\n北大は共テの割合も高いので大変ですが、文系における数学は大きくリードを奪える科目でもあるので頑張ってください。"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_ItPfEyi0rdUQWzb3VTvKLK6wvYr2.jpg?alt=media&token=3f1decbe-f5cf-4c3c-ae80-3a156fb49275","adviserName":"こう","adviserDepartment":"東北大学経済学部","adviceId":"ClL_e4EBTqPwDZPuWJEx","numberOfFan":21,"clipsAvg":3.8461538461538463,"adviceRateAvg":4.586206896551724,"profile":"現役時 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py-4","children":[["$","div",null,{"className":"mr-2","children":["$","$L19",null,{"avatarUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_ItPfEyi0rdUQWzb3VTvKLK6wvYr2.jpg?alt=media&token=3f1decbe-f5cf-4c3c-ae80-3a156fb49275","contributorName":"こう","adviceId":"ClL_e4EBTqPwDZPuWJEx"}]}],["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"mb-2","children":["$","$L1a",null,{"contributorName":"こう","adviceId":"ClL_e4EBTqPwDZPuWJEx"}]}],["$","div",null,{"className":"text-xs text-caption","children":"6/19 22:06"}]]}],["$","div",null,{"className":"text-xs whitespace-pre-wrap","children":"なるほど、それなら数学にかけるコストは低い方がいいですね\n基本は固定で構わないと思いますが、計算に詰まった場合の緊急回避である程度解けるレベルには整数の勉強もしておいた方がいいかなと思います笑 \n"}]]}]]}]]}]}],["$","h1",null,{"className":"text-xl font-semibold","children":"よく一緒に読まれている人気の回答"}],["$","div",null,{"className":"mb-8","children":["$","div",null,{"className":"divide-y","children":[["$","div",null,{"children":["$","$L7",null,{"href":"/advice/Bz3HG28BTqPwDZPuaiFT","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"場合の数・確率がどうしてもできません"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"苦手分野だからといって、捨てることはあまりオススメしません。\n\n残り時間が少ないから、限られた勉強時間でとれる得点を上げるために…と考えたくなるのはよくわかります。選択問題では苦手分野を回避できますが、2次試験では全員に同じ問題が課されます。たとえば、基礎レベルの確率分野の問題でるかもしれません。難易度が高くないなら正答率は高くなるでしょう。ですが、苦手分野だからといって捨てれば、周りとかなり差をつけられてしまいます。ですので、苦手分野であれど、苦手なりに対策しておくことが大切になってくると思います。\n\nたとえばセンターの選択問題で、時間を測るときは図形を選ぶが、あとで確率分野も解いてみる。青チャート等の問題を全て解くのは厳しいけど、このレベルまでは解けるようにしておく。など、苦手なりではあるけれど、対策をしてほしいと思います。少しでもやっときゃよかった…と後悔してるときには遅いので…\n\n残りの期間、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":[["$","div",null,{"className":"mb-1","children":"共テ数学半分とるには"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"個人的な意見ですが、整数と場合の数が比較的できるということは数学自体が苦手だとは思えません。これを踏まえて、時間配分、勉強法のアドバイスをさせていただきます。\n\nまず、時間配分についてですが、取れるところから取ることが基本だと思います。もちろん大問1から始めて間に合うならばいいのですが、間に合わない場合は自分のできるところから取り組んだほうがいいです。\nぐみさんの場合、1Aは整数と確率を初めにやったほうがいいと思います。まずはどんな問題が来ても各12分前後で解き切ることを目標にしましょう。\n2Bは得意単元がないようなので、時間配分については何とも言えません。\n\n次に勉強法です。\n整数と場合の数が得意なのなら、おそらく数列は理解できると思います。だからまずは教科書で数列の基本的なパターン(nの式で表された漸化式、等差、等比の一般項、その和の求め方など)を覚えたほうがいいと思います。\n苦手な単元についてですが、三角関数、指数関数は共通テストでもおそらく狙われるため早急に行ったほうがいいです。まずは教科書の問題を用いて、グラフを用いた解き方をするといいと思います。現にセンター試験ではグラフを用いて解くように誘導することがよくあり、数式を見える形にする訓練は必要です。\n\nあと、三角関数、指数関数が苦手だというよりもしかしたら二次関数が苦手なのかもしれません。三角関数、指数関数、対数関数などの関数系は結局二次関数や不等式の問題に帰着することが多々あります。\n文字が入った二次関数の最大最小を求める際に、なぜ軸で場合分けするのか、f(0)が正であることを用いるのか、その意味が分かりますか？グラフで考えると当たり前ですが、式だけでは伝わらないことがあります。\n\n参考書を一周するのはもちろん素晴らしいことで、継続する力は本当に尊敬しますが、それよりも教科書をもう一度見直したほうが良いです。教科書の章末問題は一瞬で解法が浮かぶくらいがちょうど良いです。そこから少しずつ応用問題にチャレンジしてどの解法が基礎になっているのかを考えることが大切です。\n\n\nとても大きな質問だったので、具体的には回答できなかったかと思います。また何かあったら何でも聞いてください"}],["$","div",null,{"className":"flex 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mb-1","children":"こんにちは！\n\n少し難しくなると解けない、というのはよくわかります。私もそうでした。私も簡単な問題は得意だったのですが、難易度が上がると全然解けなくなりました。なのでお気持ちはよくわかります。\n\n私の場合は、難しい問題を解いて慣れようと思い、新演習を買ってやりました。新演習の難しい問題は東工大レベルの問題になります。ですが、簡単な問題も含まれており、半分ほどは標準レベルの問題になります。なので、質問者様のレベルだと全く解けないということはないと思います。\nですので、新演習のような難しめの問題集をやってみては如何でしょうか。ただ、新演習は解説が割とあっさりしています。詳しめの解答・解説が欲しいならばやさしい理系数学などのような問題集の方が良いかと思います。私の場合は、解説が詳しいと読むのが面倒だったので、新演習が合っていました。新演習は一対一と同じ出版社なので、一対一と解答のテイストは似ています。\nまた、これも東京出版ですが、大学への数学もオススメです。大学への数学は月刊の雑誌の形式となっており、月によって扱う分野が変わります。例えば2021年の7月号は座標平面を主に扱っています。8月号は数列を取り扱ってます。このように、月によって扱う分野が変わるので、苦手な分野の号を買ってみても良いかもしれません。例えば、確率が苦手なら、確率が扱われている月のものを買います。苦手な分野の強化にはうってつけの参考書・問題集だと個人的には思います。\n\n私は難しい問題に慣れようとして、難しい問題を解いていったわけですが、この方法で数学の偏差値は10以上上がりました。勿論、色んなやり方があると思いますので、私の方法はあくまでそのうちの一つの方法です。この方法を試してみて、違うなと思ったらやめていただいて良いです。また、参考書・問題集の好き・嫌いもあると思うので、書店で色々見てから購入した方が良いと思います。\n\n東工大の数学は難しいですが、配点が高いため最も重要な教科と言えます。頑張って下さい！！"}],["$","div",null,{"className":"flex 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