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14: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。15:Td7c,こんにちは! こうしんと申します! ではまず「効率の良い勉強」とは何か、について説明しますね。僕の解釈ですが…(笑)効率が良い、というよりは、正しく焦点を定めて学習する、という説明の方が正しいです。 まず、人間は得意なことと不得意なことがあります。得意なことは、さほど努力しなくても結果がうまく出てくれます。一方で、不得意なことはなかなか結果が出ません。だから、この不得意なことをどううまく処理できるかが受験では鍵です。この「うまく処理する」という点で、いわゆる「効率よく勉強」していくことが必要です。つまり、不得意なことをできるだけ短時間で「受験で問題ないレベル」に達することが効率の良い勉強です。 では具体的にどうすれば良いのでしょうか?その答えが、「正しく勉強する」ということです。「正しい勉強」というのは、 1問題を解くやり方をインプットする 2問題を解いてアウトプットすることでやり方を覚える この2ステップになります。 実は、この正しさは普段の授業で満たしてくれるものではないことが多いです。なぜなら、我々は問題を効率よく「解く」ことが重要なのであって、授業で提供されるものは「事実」でしかないからです。(数学の定理など)だから、この解き方の部分は参考書、予備校で補うのが最も良いでしょう。むしろ、それ以外の道は無いと思われます。そのため、質問者様が早急にすべきことは ・自分の苦手な分野を分析する(細かく) ・自分に合った参考書を用いて解き方を分析する ・分析した解き方を頭に入れて演習し身につける この3点です。これを以後繰り返すようにすれば、必ず成績は上がります。 次に、部活を引退してから京大への勉強を始めて間に合うかどうか、ですが、それが受験勉強であるなら間に合いません。過去問演習なら間に合います。つまり、高校3年の6月くらいには、京大レベルの問題が少なくとも理解できるレベルまでになっておく必要があります。なぜなら、高校3年生は仕上げだからです。理解して、難しい部分へ自分を対応させることが目標です。とはいえ、上記の正しい学習をしていれば、さらに上級の参考書を用いて勉強することができれば、必ず間に合うと思います。 では高校一年生視点で、具体的にやるべきことをアドバイスしますね。基本的には予習してください。高校2年の夏には数学を、終わりまでには理科をすませるように頑張ってください。それだけでだいぶ時間の余裕ができ、自分が何が苦手なのか把握できます。そうすれば、上記の正しい勉強をするのみです。今の段階では、予習が近道になります!かなり大変だと思いますが、頑張ってください! 今回は全体的な内容ばかりになりましたが、質問してくれれば細部に答えます!無理せずに、少しずつ頑張ってみてください!16:T11f9,こんにちは!京大文系数学で2、3完するために何をすべきかというご質問ですね。 まず京大レベルの数学に対応するためには、問題文を見た時に解法を思いつくための「思考法」が必要になります。思考法というのは例えば、「図形問題はその問題文に関わらず、初等幾何で解くのか、解析幾何(座標)で解くのか、ベクトルで解くのかという3パターンから選択する」、「対象性がある図形は座標においてみる」、「具体化してみる」、「証明問題で自然数ならば数学的帰納法を疑ってみる」などです。特に京大では「偶奇に着目する、mod3で考えてみる」などもあります。このような思考法は最難関大以外の数学ではあまり気にしなくてもなんとなく解けてしまう問題が多いのですが、その思考法がないと京大レベルでは手も足も出なくなります。基本的に数学の問題というのは複数の問題の組み合わせでできています。それが最難関大になると組み合わせ方が上手かったり複雑に組み合わせたりしているので、一見すれば今まで見たこともないような問題に見えてしまいます。ですが所詮はいくつかの問題の寄せ集めですので、臆せず思考法に従っていけば解けます。(もちろん捨て問みたいなものもありますが) ではこのような思考法を身につけるためにはどうすれば良いかということなのですが、単純にこのような思考法を扱っている参考書などからインプットしてしまうのが手っ取り早いです。そこでこのような思考法を扱う参考書は何か、ということになるのですが、自分が知る限りでは非常に少ないです。すべて挙げてみると、 ①「世界一わかりやすい京大の文系(理系)数学」 ②「入試数学の掌握」 ③「Mathematics Monster」(Webサイト) ④ z会本科京大コース この4つです。このうち②についてはレベルが高すぎるのでおすすめできません。 次に④についても今からはおすすめできません。残るは①と③になりますが、時間が限られているこの時期であれば①(以下、せか京)をおすすめします。せか京は京大で最低限とるべき問題をピックアップして解説してくれています。特にその解説の際にポイントになる思考法を書いてくれているので、それをマスターするように心がけると良いと思います。京大に特化していることもあって、非常に有効な参考書だと思います。次に、もし余裕があれば③の「Mathematics Monster」というWebサイトをおすすめします。1つの問題について1つのYouTube動画で解説するというスタイルで、1回の解説で複数ポイントとなる思考法や、それだけでなく計算の工夫(例えば不等号の式で分母を払うときに2乗の形で両辺にかけることで場合分けをしなくて済むなど)も紹介してくれるのでためになると思います。動画形式なので休憩がてら2倍速で見るだけでも力になるのでもしよろしければ参考にしてみてください。以上が思考法を身につけるためにおすすめの教材となります。 次にペースについてですが、他教科との兼ね合いもあると思うのでご自身で決められるのが良いかと思います。基本的にせか京は秋くらいに終えて過去問に入れればいいペースだと思います。少なくとも共テ対策を本格的に始める前には終えたいところです。また、もし「Mathematics Monster」を取り組む際は、単元別になっているので、自分が苦手もしくは得意にしたい単元を選んで取り組むと良いと思われます。特に京大では整数問題やベクトル、微積あたりが重要かと思いますので、その辺を取り組むと良いかもしれないですね。 以上になります。自分は京大を諦めて阪大に行くことになりましたが、ぜひ京大合格を勝ち取ってください。応援しています!質問等あればコメントやメッセージでお願いします。(「Mathematics Monster」のリンクを貼っておきます。http://mathematics-monster.jp)2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"整数、確率の対策の時期は"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"【分野別対策に関して】\n\n標準問題精講を完璧にして、別の参考書に行くというのは無理だと思います。\nひと通り終えているのなら、弱点補強を目的として別の問題集に取り組むのは全然ありです。\n\n「基本を完璧にしてから応用」\nという考え方はもっともらしいのですが、実際は応用に取り組みつつ何度も基本に戻って考えるというスタイルがいいでしょう。\n別の問題集で間違えたところを標準問題精講と照らし合わせてやると良いです。\n\n------------\n\n【分野別対策の時期に関して】\n\n分野別にはこの対策!というのは、個人的にはありませんでした。\nセンター試験に特化した対策を年明けからやっていた、くらいでしょうか。\n\nそれまでは、難度の高い問題集や模試の復習と、高校3年間で使ってきた青チャートと4STEPを行き来しながら、弱点補強と論理構築練習を繰り返しました。\n\n\n------------\n\n【その他思ったこと】\n\n確率や整数が苦手な方は、ベン図をはじめとした集合の考え方がうまく使えない印象です。\n図や表を用いて確率や整数の解法を友人に説明できるかどうかを試してみましょう。\n模試の復習を通じてやると良いです。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"確率を捨ててもいいか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":" 多分共通テストの話だと思うので、その前提の下で書かせていただきます。最終的には個人の作戦ということになるので捨てようが捨てまいが自由ですが、しかしほとんどの受験生は、確率、整数、図形のうちより簡単に解ける方を2つ選んで点を取ってきます。なので、本番を迎えた時、確率の問題が易化した、あるいは、整数もしくは図形の問題が難化したということにもしなった場合、端から確率を捨てる作戦でやっていたら相当不利になりますよ。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"勉強の効率"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"やまさん、こんにちは☺️\n一橋大学商学部の〆さばです。\n\n具体的な事例を示すのではなく、勉強一般に関する話をします。\n先に断っておきますが、勉強法とは万人に適したものではありません。いろいろなやり方を試して自分に合うやり方を確立するのも受験勉強において重要なことの一つです。なので、僕の話はあくまで一意見として読んでいただけると幸いです。(実践してみて合わないようならすぐに切り替えるのも重要です)\n\n僕は受験期の前半はどちらかというとひたすら勉強するタイプでした。一例を挙げると青チャートは7、8周しました。(明らかにやりすぎですが笑)後半に行くにつれて、徐々に勉強の本質を意識した勉強に切り替えていったため勉強量というよりも目的達成のために必要な勉強にフォーカスするようにな離ました。\n\nまず、前半効率を考えなかった理由は効率を考えている時間が効率的でないと感じたからです。どの教科であっても受験期の前半は基礎固めが多いと思います。基礎は反復演習で定着させていくのが実際のところ確実で、「効率的」です。\nまた、後半になって効率を考え始めた理由は勉強量が頭打ちになったからです。1日のうちこれ以上の勉強時間が確保できないため、今以上に演習量を増やすには無駄をなくすしかない、といった必要に迫られたために効率を考え始めたに過ぎません。\n\nまとめると、効率を考えるのは今以上の勉強量を確保するという目的のために行うべきというのが僕の意見です。\n\n質問等あればお気軽にコメントください😀"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"読めない長文の品詞分解"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"東京大学に所属している者です。\n\n自分は1回で理解できなかった英語長文は以下の手順で復習していました。\n\n①長文を「日本語に訳さず理解しながら」黙読する\n②理解できないところがあったら文法や和訳を確認する\n③黙読し終わったら【日本語に訳さずに理解しながら】何回も音読する(引っかからずに音読しながら意味がとれるようになるまで)\n\nこのやり方の方が質問者さんのやり方よりも効率的に進められると思います。特に②は分からないところだけで大丈夫です。分かるところに時間を割いてもあまり効率は良くないので気をつけましょう。\n\nまた、上記のやり方の中で特に大切なのは③の【日本語に訳さずに理解しながら】というところです。例えば「This is an apple.」という英文を理解するために、わざわざ「これはリンゴです。」という和訳を途中で挟むことはなく、何となくリンゴがあるイメージを持つはずです。それをもっとレベルの高い英文でもできるようにするというイメージです。最初はなかなかできないと思いますが、慣れてくると英文を読むスピードも正確性もグングン向上していき、模試の成績も必ず伸びていきます。\n\nまた、自分の場合であれば、高2の秋から本格的に英語の勉強を始め、なかなか成果を感じない日々が約1年間続きましたが、それでもやり続けた結果、高3の秋頃から急激に英語がスラスラ読めるようになりました。成果が出るまで辛いのはとてもよく分かりますが、出る時は一気に出るのでそれまでは耐えて頑張り続けましょう。\n\n少しでも参考になれば幸いです。"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"共通テストボーダーの信頼性"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こちらの疑問は僕も受験生の時はかなり心にありましたね…\n前提として、僕の体感は河合塾の判定は少し緩いかなという印象です。(ちなみに駿台と東進はキツキツです。)だからもし気になるのであれば各予備校の平均を割り出すといいかもです!\nさて、本題に入ります。月並みな回答で申し訳ないのですが、共通テスト配点が50%以上を占めるのならばおそらく合格率というのはボーダー合格率±10%だと思っていいと思います。配点が30-40%はボーダーの合格率からそれぞれ-15%しましょう!ここら辺からあまり当てになりません。なぜなら、爆発的に取れる傾向がある数学や相性によって変わる英語があるからです。0-30%の学校(ほとんど超難関校)は全く当てになりませんので自信があれば出願するべきだと思います!しかし、共通テストが取れる人はそもそも2次の力もありがちです(例外は多いですが)例えば僕も共テ配点が確か18%??で、共通テストの自己採点で各予備校の予想足切り点ほどだったのですが超がつくほど余裕で合格できました。このような例があるので、もしこのような方ならぜひチャレンジしてください!\nしたがって、まとめると\n50%-はボーダー合格率±10%\n30-40%はボーダー合格率-10%\nそれ以下はほとんど当てにならないという形です!\n\n参考になれば幸いです♪"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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