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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":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=2aeKKvWB1wN3V3kU","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数学について、、、、、、"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs 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whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"いま、文系プラチカと慶應経済の過去問が終わりました。慶應経済は数IIBと確率がほとんどなのでその分野だけこれから集中的にやろうと思うのですが、新数学スタンダード演習か東大数学25カ年どちらがオススメですか?"]}]]}],["$","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":null,"adviserName":"aplin","adviserDepartment":"慶應義塾大学環境情報学部","adviceId":"2aeKKvWB1wN3V3kU"}]}],["$","div",null,{"className":"coach-mark mb-4","children":"すべての回答者は、学生証などを使用してUniLinkによって審査された東大・京大・慶應・早稲田・一橋・東工大・旧帝大のいずれかに所属する現役難関大生です。加えて、実際の回答をUniLinkが確認して一定の水準をクリアした合格者だけが登録できる仕組みとなっています。"}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap mb-4","children":[["$","div","advice-part-0",{"children":[null,"はじめまして、慶應経済に昨年合格したものです。\n\n東大数学は本質をつくひねった良問が多いのですが慶應の数学とは少し傾向が違います。\n\nもし質問者様が新数学か東大数学の2択で悩んでいるのであれば私は新数学をおすすめします。\n\nより「確率」を深く身につけたいのであれば「ハッと目覚める確率」という参考書をお勧めします。\n\n書籍のタイトル通り確率を重点的に演習するものですが問題の幅が非常に広く、マスターできれば大体の大学数学の確率は満点を取れるでしょう。\n\n以上、参考にしていただけると幸いです^^"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":null,"adviserName":"aplin","adviserDepartment":"慶應義塾大学環境情報学部","adviceId":"2aeKKvWB1wN3V3kU","numberOfFan":18,"clipsAvg":5.166666666666667,"adviceRateAvg":5,"profile":"【その他合格校(現役)】\n\n慶應義塾大学理工学部\n慶應義塾大学経済学部\n早稲田大学基幹理工学部\n上智大学理工学部\n東京理科大学理工学部\n東京理科大学工学部\n青山学院大学理工学部\n芝浦工業大学理学部\n武蔵野美術大学造形学部\n\n予備校には通ってませんでした。\n\n得意科目は英語と数学と物理です。\n英語センター250、英検1級持ってます。\n慶應義塾大学環境情報学部の数学は満点でした。\n"}]}],["$","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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line-clamp-2 mb-1","children":"こんにちは!\n\n早稲田商と早稲田社学は過去問演習経験、慶應経済は受験経験があるので、その経験からお答えしようと思います。\n\nはじめに\nまず、数学の難しさについてですが、\n早稲田商学部>>>>>慶應経済>>>早稲田社学\nとなっています。\n\n早稲田 商学部\n早稲田商学部の数学で高得点を取れるのは東大理系、京大理系の上位層だけなので目標を3割に設定して、得点調整による高得点化を目指しましょう。過去問ができなくても実力不足だと悲観する必要はありません。ほとんどの人は解けません。\nここの数学の難易度に対応した参考書は明らかにオーバーワークなので割愛します。今からやると他の科目が全くできなくなる恐れがあります。\n\n慶應 経済\n慶應経済の数学で高得点を取るためには慶應経済の過去問をやるのが一番いいです。青チャートの内容を少し応用すれば解けるので、過去問をやりましょうく。\n慶應経済の数学を解く時に必要な頭の使い方は、過去問と同じことが多いです。また、時間配分も慣れがとても必要なので、今から触れておくことはとてもいいです。\n\nスラスラ解いて高得点を目指す場合は新数学スタンダート演習という参考書がオススメです!\nスタンダートという割には難しいですが、この参考書はほぼどこの大学でも通用する数学力が身につきます。\n\n早稲田社学部\nここの数学は共通テストより少し簡単くらいの難易度なので、青チャートができるなら心配無用です。\n\n\n応援しています\n頑張って下さい!!\n\nこの解答がいいなぁと思ったらファンになって頂けると幸いです。高評価もよろしくお願いします!"}],["$","div",null,{"className":"flex mb-1","children":[["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"慶應経済の数学の難易度"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"最近は難化傾向にありますので、一概には言えないです。ただセンターで満点取れる実力があるならあとは英語でなんとかできますね。\n問題集としては文系数学のプラチカとかがオススメです。理系のやつもありますが文系のやつがオススメです。それが全て解けるようになれば過去問に入って構いません。多分昔のは余裕で解けますよ笑過去問2周して余裕あるなら一橋の過去問がオススメですね!難易度が高くて最近の慶應経済学部にはありかもしれません!\n文系プラチカやってみてきついなーと感じたら、苦手な部分だけ一対一対応大学への数学をやってみてください。解説詳しくある程度の難易度です。\n数学だと成績が激しく上下することもありますが、一番良かった時が自分の実力だと思ってください!私立なら何度も受験できるので、いつか並がきます!笑その波を第一志望に当てるのが一番の肝です!理系なら数学は大丈夫だと思いますから、英語の方を鍛えるようにしてください!笑笑\n後輩になることを願ってます!勉強頑張ってくださいね^ ^"}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"慶應の数学"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"僕も経済Aと商Aを受験しました。お役に立てれば幸いです。\n(ちなみに結果は経済A○,商A×でかなり稀なケースでした…)\n\n僕も青チャートのような網羅系参考書とプラチカを使っていました。あと一対一のAⅡBだけやっていました。正直,数Ⅰの一対一はやらなくていいと思います。\n\nまず網羅系参考書は夏の間に全範囲を1周して,次に慶應の頻出範囲だけもう1周しました。慶應の頻出範囲は確率・図形と方程式・指数対数・微積・数列・ベクトルです。\n\n夏が終わった後,理系の友達が勧めてくれた一対一に取り組みました。ネットでもかなり評判がいいのでとりあえずやってみました。正直,自分では効果を感じ取れませんでしたが,やってみて損はないと思います。\n\nその次は過去問に取り組みました。10月に過去問をやりだした,という友達が出てきたので一対一と並行して取り組みました。慶應の看板の経済は東大落ちの墓場だと思って,諦めていたのであまり対策せずに,倍率3倍で無難な商の過去問を15年分くらいやりました。\n\nプラチカも良本だと聞いて,購入していたのですが,実際はあまりやらなかったです。かなり国立の思考力が問われる問題が収録されていて,慶應よりもレベルが高いです。でも一応は先ほどの頻出分野の早慶の問題ぐらいは解いておきました。\n\n僕の数学の勉強はこんな感じで進めていました。でも僕のやり方が必ずしもあっているわけではないので,ある程度参考にしつつ勉強するといいと思います!\n\n今回は数学についてでしたが,慶應は数学では差がつきにくいと思うので,この夏は英語を特に頑張ってほしいです!応援しています!"}],["$","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":"慶應経済数学"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは!\n\n慶應経済は文系数学の最高峰と言っても過言ではないです。そんな数学で7割を取るためにするべきことを書いていきます!\n\n始めに\n前半の穴埋めも後半の記述もやるべきことは変わらないです。時間の許す限り解き続けるのがいいと思います。そのためには計算が大変や、難しくて解けない問題を見極めてやらないことも大事になってきます。配点は分かりませんが、穴埋めは8〜9割、記述は6割で受かります。(2024年はそれで大丈夫でした。英語との兼ね合いもあると思うのでなんとも言えませんが、、、)\n年度によってかなり難易度の差が激しいので過去問で一喜一憂しないで下さい。\n\n\nやるべきこと\n過去問の復習\n 慶應経済の数学は過去問と似た問題、過去問にあった頭の使い方をする問題がかなりあります。そのため、過去問から学ぶことは慶應経済の数学を攻略する上で重要になってきます。慶應経済は単元を組み合わせた問題は少ないので各単元の完成度を上げるべきだと思います。\n\nやるべき参考書\n 各分野の完成度を上げるためには新数学スタンダード演習がオススメです。これがスラスラできたら慶應経済数学で困りません。\n 単元を組み合わせた問題をやる場合は東大をはじめとした難関大の数学しかないと思います。特に東大文系数学は単元が組み合わさった問題が多いです。\n参考書は各分野でまとめられていて、あんまり各単元を組み合わせた問題集はないです。\n単元を組み合わせた問題がたくさん収録されている問題集もあるにはありますが、明らかにオーバーワークな参考書なので手を出さない方がいいと思います。それらの参考書は東大京大の数学で8割を取りたい人のためのものです。\n不要です。\n\n頑張って下さい!\n応援しています!!\n\n\n解答が良かったと思ったらファンになって頂けると幸いです。"}],["$","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 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs","children":["京都大学医学部"," 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"慶應商学部A方式の数学対策"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"慶應の商学部A方式の過去問を数年分確認しました。確かに難しいですね。\n\n京大の文系数学を突破した人間が一応アドバイスしたいと思います。\n\n僕が数学力を上げるのに使った参考書を一つお教えします。(京大模試で数学偏差値70)それは、大学の数学の新スタンダード演習です。\n\nこの参考書結構難しいんですが、難関大の数学を突破する上で必須の高度な基礎力を養成するのに最適です。過去問の前に挟むと良いでしょう。この参考書をマスターできたら慶應のこの難解な問題でも5~6割は安定すると思います。\n\n省ける単元とのことですが、データ関連ものだったりくらいしか省けないと思います。なぜかと言いますと、慶應レベルの難関大学になると、一見三角関数の問題に見えても、解いていくと二次関数の技術が必要になるみたいな問題が出てくるからです。\n\n単元に偏りなく、満遍なく勉強するのが一番の合格の近道です。きついですが頑張りましょう。"}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"慶応経済 数学の参考書"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"慶應経済の数学の攻略に必要なものは、圧倒的基礎力です。\n\n今年の数学は異常に難しかったですが、教科書に載ってある定理や法則の意味を理解し標準的な入試問題が解けるようになれば、あとは問題を柔軟に読み解けさえすれば簡単なのが\"慶経らしい\"数学です(感想)\n\nしかし、難しさもそこにあります。\n\nあの限られた時間であの量の問題をさばききるのは当然難しいですし、何より、焦って\"問題の本質\"を読み解くことなく所謂小手先の応用テクで乗り切ろうとすると痛い目に合います。\n\nですから、日頃の学習で、インプットの段階から問題の本質を理解しながら解くことを心がけていただきたいと思います。\n\nこれも僕の主観的な感触ですが、「遠くから眺めると実は簡単な」問題ばかりです。\n\n使う参考書は一対一で良いと思います。\n(僕は文系プラチカを愛用してました)\n\n過去問演習もぬかりなく"}],["$","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 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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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