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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!15:Tf4e,こんにちは!東京大学1年しんです 進研模試の(3)が解けないということでしたが、別にそれは恥ずかしい話でも何でもありません!私自身、進研模試のような模試でも最後まで解ききれない大問もありましたが、諦めず演習を重ねて何とか東大の入試問題(理系)でも戦えるようになりました。まだ、高一ということもあるので、投げ出さずじっくり取り組んで欲しいと思います。私なりにいくつかアドバイスをするので参考にしていただけたら嬉しいです! まず、青チャートを3、4周しているということですが、正解した問題を3、4周する必要はありません。それなら他教科の勉強に時間を使った方がいいと思います。間違えた問題にマークをつけたり、付箋を貼ったりして、間違えたものだけ解き直すようにしてください。 また、青チャートの例題だけを解いているということですが、青チャートの例題はその下に解法がのっているので、その解法を見ずに解き進めてください。解法に目がいってしまうなら、例題の下の練習問題を解くようにしてください。私は、例題を解いているとどうしても模範解答をちらちら見てしまって、いつまでたっても自力で答案を作れなくなるタイプだったので、練習問題を解いていました。 私の場合はちょっとペンを動かしながらいろいろ考えてみて、五分くらい経って解法が浮かばなければ、解答、解説を見るようにしていました。青チャートでやっていることは解法のパターン暗記なので、ずっと一つの問題に悩むというよりは、問題を見てすぐに解法が思いつく&実際に完璧な答案を書ける、という状態を目指して何度も反復していました。 量に関してはチャートを3、4周やっているなら十分すぎるくらいだと思います。むしろ、数学だけに勉強量が偏っているなら、英語とか、他の教科にもバランスよく時間を割いてください。 チャートをやっていて解けない問題が少なくなってきたなと思ったら、章末問題、エクササイズなども取り組むといいと思います。意外と難しくて、力がつきます。 青チャートが終わったら赤チャートをやるの?などと思うかもしれませんが、赤はやらなくていいと思います。というか、青チャート以上のものをこの時期にそこまでやる必要はないと思います。 数学を極めたいというのであれば別ですが(そのときは私はあまり参考にならないかも)、スタンダードに合格を目指すのであれば、高2までに青チャートを完璧にして、高3からプラチカ、一対一、過去問などに取り組んで盤石にするというのがいいかと思います。数学特化型はやはり成績的に不安定になりやすい(一般的に英語などの方が安定しやすい)ので、どの教科もまんべんなく今の時期は基礎を固めることが大切だと思います。 さいごに いろいろ書きましたが、分からないことやうまくいかないこともあるかと思います。私自身のアドバイスも一個人的な意見に過ぎないので、いろんな人の意見を聞いて自分にあったやり方を探してください。また、伸び悩んだときは、このアプリや学校、塾の先生など、自分の信頼できる人に相談して解決するようにしてください。正しい努力をすれば成績は必ず伸びます。 がんばってください!応援しています。16:Tf28,ある程度の数学の基礎は身についていると思うのでその先の勉強方法について話したいと思います。 数学の難しい問題というのは解き方の展望が見えてこないものが多くあります。なので、正確に文章を読んで、文章の中からヒントを拾ったり、式の形をみて、使えそうな公式や、定石となる解き方を考えてみることが必要になります。おそらくランボさんはこのようにして、いくつか選択肢に上がった解法の中に正解となる解法があったのにそれが使えなかった、ということだと思います。しかし解き方を思いついてから最終的な解答方針まで見えてくることはほとんどないと思います。難しい問題はイメージとしては壁が2〜3段階あるという感じです。最初の足がかりとなる解き方をして出てきた式が解けない。そして再び考える。それに対して解き方を考えまたやる。問題を解く時はこれの繰り返しになってきます。 難しめの問題のイメージを話したので、次は勉強方法について書いていきたいと思います。数学は多くの問題集に手を出すより、一冊完璧に、とよく言いますが、その通りだと思います。なぜなら、結局一冊の中に大方必要になってくる解法は全て入っているからです。そして例えばプラチカであればその単元ごとにまとめて学習していくことをお勧めします。その時に確率であれば、P型、C型、漸化式型、円や数珠順列、条件付き確率、じゃんけんや、勝敗を決めるパターン、etcがあると思うので、そのパターンを「漏れなく、だぶりなく」身に付けるとともに、どのパターンの問題はどうゆうような問題文になっているのかを自分なりに考察することが大切です。例えば、簡単な例ですが、組み合わせの時に同じようなものを区別するかしないかで解き方が変わると思います。このように問題文や式を観察して、どのときにどのパターンを使うことが多いか分類すると良いでしょう。このとき、「漏れ」がないことで、どれかのパターンに帰着し、「だぶり」がないことで、実は同じ解法なのに出題形式が違うから両方覚えてしまって、どっち使うか迷うような手間が省けます。そこを意識して勉強するのがいいと思います。 最後に過去問についてですが、過去問はあくまで出題形式、傾向や、時間などを確認して実践するものだと思っています。なので直近6年のものは残しておくべきでしょう。またマスターって言葉の定義は曖昧です。マスターが過去問の解き方を覚えるだけであるなら無駄だと思います。問題を見て、なんでこの解法をしたのか考え、そして始めてその問題を見たと仮定したとき、その問題文からどんなキーワードを拾ったら、自分がその解法にたどり着くかというところまで考え、身に付けることができて、始めてマスターしたと言えます。それなら過去問のマスターはかなり有用だと思います。数学は初見で考え、解いて、解答をみて、終わる人が多く、初見で考えることが重要だと思われがちですが、それを可能にするには解答をみた後の上記の考察がもっとも重要になると思います。 試験本番までまだあと4ヶ月あります。十分に身に付けるだけの時間はあると思うので最後まで頑張ってください。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":[["$","div",null,{"className":"mb-6","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/xmlqqjx3","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":["「","4STEP 解けない","」の検索結果"]}],["$","div",null,{"className":"border-b-2 mb-2"}],["$","div",null,{"className":"mb-4","children":["$","div",null,{"className":"divide-y","children":[["$","div",null,{"children":["$","$L7",null,{"href":"/advice/Ak46dngBTqPwDZPu4kjI","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学から逃げたい"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは。\n青チャートの標準〜応用レベルで躓いているのであれば、恐らく基礎のどこかしらの部分が抜けてしまっているのではないかと思います。\n大方基礎は大丈夫だろうと思っていても、もう一度改めて教科書や授業ノートを見返してみたりすると効果的かもしれません。\nそれでもなかなかうまく行かないなと感じたときは、4STEPという問題集がオススメです。青チャートよりも難易度は易しめで、基礎〜標準レベルの良問が揃っています。僕自身は、学校で4STEPを使うよう指示されていたので、チャートと同時並行で進めていました。\n青チャートがものすごくいい問題集であることに間違いはないのですが、もし解答を見てもなかなか手強いなと感じるのであれば、4STEPぐらいのレベルの参考書からやってみると、理解が深まると思います。\n4STEPは基礎から載っているからといって、決して簡単すぎる問題集というわけではありません。基礎の徹底こそ、意外と難しいのだということが分かるかと思います。\n他の基礎レベルの問題集でも何でもいいので、効率的な勉強になるよう、試行錯誤してみて下さい。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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","children":[["$","div",null,{"className":"mb-1","children":"京大文系 数学は4STEPか黄チャートか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"はじめまして!\n僭越ながら回答させていただきます。\n\n結論から申し上げますと、「基本は授業の進路に合わせて4STEPを解き、苦手な分野や問題は黄チャートで演習を積む」という使い方をオススメします。\n\n理由としては3つほどあります。\n\n①ちょうどいい難易度\n→4STEPの方が黄チャートよりも難易度が高く、なおかつ典型問題が揃っています。4STEPを一通り解けるようになれば高1の数学としては完璧だと思います。\n\n②両方やるのはオーバーワーク\n→私の経験談ですが、高1の頃は英語や国語だけでなく理科系科目も負担が大きく、また部活も忙しく、なかなか自習に時間を割けませんでした。\n限られた学習時間でやるならば、4STEPのみを授業に合わせてこなす方が効率的に基礎固めができると思います。\n\n③モチベーションの維持\n→これも私の体験談ですが、チャート式は分厚くて一生解き終わらない気がしてしまって、モチベーションが続かないんですよね。笑\nその点4STEPは薄い上に、提出があるとのことで、モチベを維持しながら解き進められそうですよね。\n\nただ、一つ注意しておきたいのは、4STEPには解説がついてないことです。(私の学校だけかな?笑)\n復習として解いてみて、解答の方針が全く立たない問題や分野があれば、黄チャートの方を参照することをおすすめします!\n\n\n正直言って、京大の文系数学は難問奇問が並んでいるわけではなく、青チャートレベルの問題が解ければ普通に解ける問題も多いです!\nぜひ高1の段階で基礎を固め、数学強者になりましょう!\n\n長くなりましたが、勉強だけでなく、高校生活を充実させてください!"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"4ステップと青チャートの使い分け"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"4step→おそらく宿題等で出されることが多いと思います。(私の学校ではそうでした)\n宿題に合わせて進めて良いと思います。\n\n青チャート→参考書よりなので、先取りに利用してください。単元ごとに短期間で集中して終わらせていきましょう。チャートノートを使うと進めやすいと思います。青チャート(例題、練習)→一対一の流れがおすすめです。一対一を終えた後に、エクササイズを一気に解いていきましょう。エクササイズは演習量確保の意味合いが強いです。\nもしかすると長期休暇の課題として青チャートのエクササイズが出される可能性もあります。\n\nここまでやれば、正直過去問演習などに入っても対応できるとは思いますが、もう1段階プラチカなどを挟むのも得策だと思います。\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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の勉強法について"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"解答が載っていないと色んな解法を知れるという意味が分かりません。解法をカンニングせず自分で考えるようになるという意味でしょうか?\n個人的にはどちらでもいいと思います。青チャートに載っている解法を全て使いこなせるようになるだけでもある程度の京大の問題にも対処できます。\nおっしゃってるように4stepには解説が無いので解答をカンニングできないという利点はありますが教えてくれる人がいないと分からないと詰んでしまいますので独学向きではないです。\nまた色んな解法を身につけたいのでしたら一対一対応の演習がオススメです。\nどれを使うにしろこの解法は何を意図しているのか?ということを自分で考えて自分で応用できるようになることが重要です。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の勉強法 "}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは。\n私も数学が一年時は割と出来た方でしたが、二年になってから模試での数学の成績が下がった身ですので、回答させていただきます。\n\n私は模試での大問別の得点率を参考にして、得点率が低い順番から4stepなどの教科書傍用問題集で問題演習を行いました。問題演習のやり方としては\n\n◯:根拠をもって解けた\n△:たまたま答えだけあっていた\n×:解けなかった\n\nのような基準で一問ごとに印をつけ、2周目からは×や△を主にして演習しました。教科書傍用問題集の全ての問題に◯が付くようになったら、次の問題集として、私は東京出版の『新数学スタンダード演習』を使って問題演習を行いました。私は青チャートも使ったことはありますが、網羅系の問題集ですので、どうしても問題量が多く、先ほどの問題にマークしながら解くやり方では時間がかかり過ぎてしまいます。ですから、入試の基礎的・標準的な問題の演習には4stepで十分だと思います。\n\n東京出版の『新数学スタンダード演習』や『一対一対応の演習』は実践的な問題も載っていますし、問題数も少ない(その分厳選されている)ので、書店で中身を見てみて、自分に合っていそうな方の問題集の全ての問題に◯が付くように演習することが良いと思います。\n\n私は『新数学スタンダード演習』をこのようなやり方で演習したおかげで、だんだんと数学の成績が良くなり、自分の数学力にも自信を付けることができました。\n\n得意な分野から演習したいのも分かりますが、苦手な分野から着実に演習していきましょう。\n\n私の回答が少しでも助力となれば幸いです。"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"解法が浮かばない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"思考を形に残すのです!\nまず京大の解答用紙はa3で、右半分が計算スペースとなっています。\nダメな人は頭の中で全て考えてごちゃごちゃと計算用紙に計算していますが、少しでも詰まると何もわからなくなり、思考停止してしまいます。\nこれは、人間の脳の特性による物です。人間は英単語などの外部に存在する物事を覚えるのは得意ですが、思考自体を記憶することができないと言う物です。\nあなたも10秒前に頭の中に考えてたことを完璧に紙に書き起こすことはできないでしょう。\n思考を残すために、最初から回答欄に解き進めると良いでしょう。\n計算のみ右の計算スペースに残すのです。\nさて、その解き進める解放についてですが、まず問題を見れば幾らかの解放が選択肢としてあると思います。\n整数ならMODや積の形にしたり連続関数のグラフで考えたり、、、、などですそのそれぞれの解法について、その問題にはどれが適しているか妥当性を吟味する癖をつけましょう。\n解けない方法で無理に考えても、何も生まれません。\n解法を絞ることができたら、解答欄で解き進めましょう。\nどんな感じかのイメージですが、YouTubeで東大理科三類のルシファーさんが数学実況をしている感じでやりましょう。\n解答欄に書きながら計算だけ違うスペースでします。\nすでにその解放に絞られているので、行き詰まった場合はその原因は計算ミス以外にありませんので計算を再度やり直すだけで解決します。\n\nこの方法は最初は1ヶ月ぐらい慣れるのにかかりましたが、慣れると5完半は余裕です。\n正直6完も行けるようになりますが、計算ミスが怖いので僕は5完半で止めて計算見直してました。2020年の過去問でも5完半ですし、今年の2024の本番でもそうでした。\n本当に安定します。\nさて、ここからの勉強の話です。\n解法をまず知ると言うことと、その解放を使いこなす必要があります。\nその二つとも同時にカバーできるのが、駿台の実践過去問集の青い本です。\nメルカリで古いものを探すなどして、2000年前後の物まで全て150分測って取りかかりましょう。\n駿台の実践模試は解放を使いこなすことができたら容易に回答できる、使いこなせないなら全く回答ができないという感じですので本当に力がつきました。\nそれが終われば京大の過去問、そして余裕があれば東大の過去問をやりましょう。\n\n後輩になってくれるのを心より楽しみにしています!"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"青チャートコンパス3まで完璧"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"おそらくですが、経験値不足なだけだと思います。基本的な部分は青チャートで押さえられているようなので、基礎の部分に心配はありません。学校のテストや高2ぐらいの段階の模試って、ほとんど参考書に載っているような例題と酷似したような問題ばかりが出題されています。ですから、青チャの例題しっかりやっとけば、ある程度高い点数を取ることが出来る訳です。ですが、高3以降の模試や入試問題は、本質的には同じことを問うていても、パッと見は違うように見えたりして、慣れていないと気づけないことが多いです。また分野ごとにはっきりとした区切りがあるわけではなく、複数の分野の基本問題を組み合わせて応用的に解かなければならない問題があります。ですから日大レベルであれば、コンパス4までやらなくとも解けるはずではあります。ですが京大志望であるならばいずれ必要となりますので、コンパス4もやりましょう。\nあと私大の数学って意外と難しいですよ。国立に比べると科目数が少なくて済みますが、国立よりもひとつひとつの科目の完成度を高めないといけません。また途中式を書かないで言い分、問題数が時間と比べて多かったり、難しかったりします。実際私が同志社の数学をやった時、神大の数学より難しく感じました。ですから中堅私大であっても、普通の国立の問題より難しいこともあると認識しておいて欲しいです。頑張ってください!"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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