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1a: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。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=4ep7TmgBTqPwDZPuHR1F","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"整数"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",27,") コメント(",0,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"1/14 22:28"}]]}],["$","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。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":null,"clientUserName":"にはるえ","infoString":"高卒 愛知県 名古屋大学志望","adviceId":"4ep7TmgBTqPwDZPuHR1F"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"名大志望ですが、\nオープンでも整数問題が取れません。\nなにか整数に特化した\nおススメの参考書ありますでしょうか。\n\nなるべく整数だけを扱ってる参考書がいいです！"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}],null]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"回答"}],["$","div",null,{"className":"mb-4","children":["$","$L15",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_C638A06439614B97B2249BBDE08B9513.jpg?alt=media&token=031d2f5b-8648-44a0-98ba-f2dd653896f0","adviserName":"おいおい","adviserDepartment":"大阪大学医学部","adviceId":"4ep7TmgBTqPwDZPuHR1F"}]}],["$","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":[["$","div","advice-part-0",{"children":[null,"はいどーも。あおいです！\n\n\n\n整数問題のオススメの参考書を紹介する前に、整数問題を解くコツを紹介しておこうと思います。\n\n\nそのコツは、\n「わからない整数問題では、とりあえず書き出してみろ」\nです。\n\n\n書き出してみて\n①解けそうであれば解く\n②解けそうになければ、書き出したものを用い     \nて数学的帰納法\nを考えてみてください。\n\n数学的帰納法は、狙っていないとなかなか使うことに気付きにくいため、常に頭に入れておきましょう。\n\n\nそれでは、オススメの参考書を紹介します！安田 亨 先生の「2週間で完成! 整数問題」という参考書です。整数問題に特化した一冊です。\n\n\n\n安田先生は以前私が回答した際に紹介した「ハッとめざめる確率」の著者でもあります。そのため、こちらも講義形式で、整数問題の考え方の初歩から解説がなされています。\n\n\n問題数は少ないです。しかし、問題はかなり難しいので、諦めずに何回も頑張りましょう。3周くらいはしてほしい完成度の高い参考書です。\n\n\n以上です。これからも頑張ってください！"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_C638A06439614B97B2249BBDE08B9513.jpg?alt=media&token=031d2f5b-8648-44a0-98ba-f2dd653896f0","adviserName":"おいおい","adviserDepartment":"大阪大学医学部","adviceId":"4ep7TmgBTqPwDZPuHR1F","numberOfFan":34,"clipsAvg":19.681818181818183,"adviceRateAvg":4.59375,"profile":"はいどーも。あおいです！\n\n「いい質問だなー」と思う質問以外は回答しません。その分、私が回答している過去の質問をご覧いただければ、かなり参考になると思います。\n\n数学と英語だけは誰にも負けません。\nそれ以外は負けちゃうかも笑\n\nよろしくお願いします！"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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text-caption line-clamp-2 mb-1","children":"【分野別対策に関して】\n\n標準問題精講を完璧にして、別の参考書に行くというのは無理だと思います。\nひと通り終えているのなら、弱点補強を目的として別の問題集に取り組むのは全然ありです。\n\n「基本を完璧にしてから応用」\nという考え方はもっともらしいのですが、実際は応用に取り組みつつ何度も基本に戻って考えるというスタイルがいいでしょう。\n別の問題集で間違えたところを標準問題精講と照らし合わせてやると良いです。\n\n－－－－－－－－－－－－\n\n【分野別対策の時期に関して】\n\n分野別にはこの対策！というのは、個人的にはありませんでした。\nセンター試験に特化した対策を年明けからやっていた、くらいでしょうか。\n\nそれまでは、難度の高い問題集や模試の復習と、高校3年間で使ってきた青チャートと4STEPを行き来しながら、弱点補強と論理構築練習を繰り返しました。\n\n\n－－－－－－－－－－－－\n\n【その他思ったこと】\n\n確率や整数が苦手な方は、ベン図をはじめとした集合の考え方がうまく使えない印象です。\n図や表を用いて確率や整数の解法を友人に説明できるかどうかを試してみましょう。\n模試の復習を通じてやると良いです。"}],["$","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 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goldの例題レベルの問題は確実に網羅してください！この基礎が発展的な問題を解くのに必ず必要になります。ですので、まずこの部分が抜けていたら、確認しておくようにしてください！\n\n確率についてです。確率はとにかく事象を文章から図などへと可視化してみましょう！どのような動きが起こっているのか、どのような特徴があるのか、それを分かりやすくするのです。この動作は慣れないといけないので、何問かやってみるといいです。とにかく文章を分かりやすくしてみることを意識してみてください。文章では見えなかった情報が浮かび上がってくるはずです。また、それでも厳しければ、青チャートなどの例題で似た問題がないか思い浮かべ、その解き方を真似してみてください！\nそれを何問しても厳しければ、「合格る確率」という参考書を購入して、stage3のみやることをおすすめします。stage3のみといったのは、それが最も入試に頻出かつ全パターンを網羅しているいいレベルの問題だからです。そのパターンを全て覚えましょう！\n\n次に、整数です。整数は確率より厄介な問題が多いですが、基本的にはあのユークリッドの互除法を用いた不定方程式の解法パターンを覚えておけば基本はOKです。そして整数問題が出てきた時は、このパターンの発展系ではないか確認してみましょう。\nまた、整数では、学校では言われないよく出るパターンがあるのです。例えば、平方数はmod3、4を使うと数を絞れる、などです。これは、YouTubeのPASSLABOというチャンネルで整数全パターン解説という動画で整数を全部網羅してみるので、よかったらやってみてください！(回し者ではないです笑)\n\n確率と整数は個人的に数3よりも難しいなと思います。ですので、まとまった時間をとって集中的にやってみるといいです！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 24","className":"text-subPrimary 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mb-1","children":"こんばんは、名古屋大学医学部医学科のメイメイといいます。\n慶應医学部にも合格したので、その時に使用した数学の参考書・問題集について書こうかなと思います。\n\nまず、大前提として青チャート数1A、数2B、数3はすべて解けるようにしておいてください。(ここでいう解けるとは、じっくり考えての解けるではなく、見てすぐに解法が思いつけることをいいます。暗記ではありませんが、青チャートくらいの難易度ならすぐに思いつけるようにするといいです。)\n\n次に1体1対応の数1A、数2B、数3です。やや難の問題が並んでおり、これも割とスピードを意識して解くといいと思います。\n\n次にやさしい理系数学です。高難易度の問題が分野別に載っており、恐らくこれをじっくり考えて解けるようにしていれば慶應医学部数学に太刀打ちできます。\n\n(※私は青チャート→1体1→やさ理の順に演習して、慶医数学は体感で110/150でした。自己採ですが笑)\n\n慶医数学はかなり特徴があり、\n大問1･･･小問集合\n大問2･･･確率\n大問3･･･微積\n大問4･･･2次曲線とか？\n\nって感じだったと思います。(うろ覚えですいません🙏)\nこのうち30点分の大問1と40点分の確率は比較的難易度は低いため、いかにここで点数を取るかに限ります。確率は特に落としたくないので、｢教科書だけでは足りない確率｣という問題集もプラスアルファでやってました。\n\nまた、慶医数学は大問の後半に点数が高く配置されているため、大問の前半だけ取ってもほとんど点数がつかないらしいです。つまり部分点狙いの攻め方だとあまり点数が取れないため、とにかく完答力をつけるといいと思います。\n\nこのように複数の問題集を載せましたが、正直受験してみて1番思うのは、慶医数学の対策には慶医の過去問を多く解くことではないかなと思います。かなりクセが強いので、そのクセに慣れていくことが1番近道なように思います。\n\n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":[["$","div",null,{"className":"mb-1","children":"数学の問題集"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"数学が余り得意ではない人という前提で話します。\n＊数1a2b\n・青チャート\n例題だけでいいので解けるようにする。この時注意してほしいのは、よく「完璧にしてから…」というフレーズを見かけると思うのですが、余りこの言葉に踊らされないでください。完璧なんて時間がかかりすぎて現実的に厳しいです(数学がめちゃくちゃ得意とかならできるでしょうけど)。ですので、ある程度解けるなとおもったら1対1に移行しましょう。\n\n・1対1\nとりあえず解いてみましょう。そしてある程度時間をかけても解けそうもなければ解答を見て熟読しましょう。そして頭の中で整理して、何も見ずに解答を書いてみましょう。それの繰り返しです。「この分野はあまり理解できてないな」と思えば青チャートに戻ってそこを復習しましょう。\n\n・ハイレベル精選問題集1a2b\nこの問題集は難しいですが、余裕があれば自分がモノにできそうな問題だけでもやっておくとアドバンテージになるかもしれません。ちなみに私は数学は苦手でしたが、この問題集のおかげで本番の阪大の数学で助かった問題がありました。\n\n＊数3\n青チャートの例題をやり込めば十分だと思います。特に微積の分野は基礎的な解法などをしっかりと覚えましょう。結局は本番でもそういう問題が解けるか解けないかで合格か否かが決まります。難しい問題を解ければその分アドバンテージになりますが、合格するにはみんなが取れる問題を落とさなければいいので基礎を大事にしましょう。\n\n最後に言っておきたいのですが、上に挙げたような問題集を本番までにモノにできればいいのです。ですので、周りよりも自分は遅れてるだの、模試の結果が悪いだの気にしなくていいです。ですので本番までにモノにしてやるぞ！という気持ちで何度も何度も問題集を繰り返しましょう。あと先ほども言いましたがみんなが取れる問題を取れば合格点にたどり着けます。これだけは覚えておきましょう。\n\n\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学のできる人"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"初見の問題が解けるようになる数学の勉強法について話しますね。\n\nまず、初見の問題は大きく分けて2つあります。\n\n① 基本問題だが自分にとっては初見\n② 応用問題で多くの人にとって初見\n\nまず、①について\n基本問題の演習を繰り返し、基礎固めをしてください。\n具体的な方法は下に書いておきますね。\n\n次に、②について\n応用問題は基本問題の組み合わせです！\nなので、身についた基礎をどの場面でどう使うか考える練習をしましょう！\nこれも具体的な方法を下に書きますね。\n\n\n上の①②に対応する\n数学の『オススメ教材』と『オススメ勉強法』について紹介します。\n\nまず、『オススメ教材』ですが\n全範囲を満遍なくカバーし、数学の基礎力向上に最適な教材として\n・青チャート1A2B\nをオススメします！\n\n解答解説がしっかりしていて、\nなおかつ、問題を解くときの考え方まで紹介しているので、基礎固めはこの教材を何周もすれば十分です！\n\n基礎がしっかりできていれば、\n全国の受験生が受ける模試であれば\n偏差値60〜65程度は到達可能です。\n\n青チャートを完璧にすると\n模試の時にどれが基本問題でどれが応用問題かわかるようになりますよ！\n\n次に、青チャートが終わったならば\n今度は身についた基礎を使う練習\nつまり、応用問題を解くために基礎をどの場面でどう使うかを練習しましょう！\n\nこの演習用として\n・1対1対応の数学\n・プラチカ\n・やさしい理系数学\nなどがオススメです！\n\n次に『オススメ勉強法』ですが\n青チャートを使うかどうかに関わらず、\n問題の考え方や解答を理解した後に解答を見ずに\n最初から最後まで自力で再現してみることが大切です。\n\nここで、再現できないようであれば、\nまだまだ理解が足りてないということです。\n\nつまり、\n問題を解く\n↓\n考え方と解説を理解する\n↓\n解答を見ずに、自力で再度解く\n\nこの3つのことを繰り返すことで飛躍的に数学力が上がります！\n\nぜひ、実践してみてください！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の勉強方法や参考書"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"東京大学に合格したものです。早稲田商学部の数学受験に必要なレベルとしては黄チャートより青チャートに取り組んだ方が無難であると思います。理由と致しましては早稲田商学部で出る問題は黄チャートで網羅できている範囲を超えている可能性はありますが、青チャートのレベルを超える問題は出題されることはありません。また、どちらにも基礎問題はのっているため、基礎がある程度理解出来ているならなおさら青チャートを進めた方がいいと思います。基礎問題精巧や標準問題精巧は難易度が青チャートより高いため、手を出さない方がいいでしょう。それよりは青チャートを何周もして完璧にするのが良いです。\n\n青チャートの最も効率的で素早く完璧に仕上げる方法を記しておきます。是非参考にしてみてください。\n① 例題を解く\n② 解いた例題が○だった場合、練習問題に進む\n解いた例題が‪✕‬だった場合、蛍光ペンで印をつけ、練習問題は飛ばし、次の例題に進み、①に戻る\n③解いた練習問題が○だった場合、そのページにある問題は全て解けるため、もう解き直す必要が無いです。そのためページのところに印をつけ、次のページに進み、①に戻る。\n解いた練習問題が‪✕‬だった場合はその練習問題に印をつけ、次のページに進み、①に戻る。\n\nこの方法で進めると、まず1周した時に間違えた問題が明確になります。\n2周目は\n①間違えた例題を解く。この時、例題を解き直し、○だった場合そのページの練習問題を解く。\n②間違えた練習問題を解く。この時、解けたらページのところに印をつけ、次のページへ、解けなかったらそのまま次のページに進む。(🟰3周目に解くため)\n\nこのやり方で何周もし、だいたい5周目くらいに全ての問題が完璧になります。ざっと4ヶ月程で終わると思います。チャートが終わったら過去問に取り掛かりましょう。早稲田の他の学部の問題を解くのもありです。それらも間違えたらしっかりと解き直し、完璧に解けるようにしましょう。抜けている部分があったら青チャートでその分野の問題を確認し、解き直して弱点を克服していきましょう。この方法で数学の苦手分野はなくなります。\n\nざっと勉強法を記してみました。分かりずらい部分がありましたら遠慮なくコメントお願いいたします。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の解法を思い付くためには"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"受験数学の問題は解法がすぐわかるものと分からないものの2択です。それは大体分野によってまちまちですが、僕の場合、整数、確率、複素数平面、以外は解放暗記で押し通しました。\nそして、整数、確率はとにかく思考力をつけるために長い間考えるようにしました。なるべく答えをみない。\n\n僕の出した結論\n確率は図を書きながら問題把握して、漸化式を立てるか立てないかの2択。漸化式は全て解放暗記ゲーで、立てない場合は、全て数え上げる系か、独立の事象で積の法則の考え系の2択。\n\n整数は、マスターオブ整数をやって、背景を何となく知りながら、問題を解く際には具体値でとにかく実験。50個くらい書き出してみる面倒さにも打ち勝つこと！\n\n複素数平面は、実数に逃げる、極形式、図形処理する、複素のままいくの4通りのどれか。\n\nその他の分野の個別問題で解放が思いつかない場合は、優秀な友達もしくは先生に思考プロセスを聞いてみると良いですよ。\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","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 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