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まず北大の冠でA判定が出る地点で、いわゆる基礎は問題ないどころか素晴らしいと思います。 一橋の問題って、どうにもこうにも問題が短すぎて意味わかんないの多いですもんね。 少し僕の話になってしまいますが、僕は理系から経済学部に進んだため一橋の問題も単元の確認で使ってました。 この時に一橋の問題について感じたのは、他大学とは異なり、条件を自分で絞らなければならないという傾向があまりにも強いと言うことです。 A問題は結構条件書いてあったりしますけどね。 あんじさんも薄々気づいているかとは思いますが、文章が短い分、解答に必須な条件は必ずと言っていいほど削ぎ落とされています。その条件を見つけ出すことさえできて仕舞えば、B問題くらいならあんじさんの手にかかればボッコボコに完答できると思います。 じゃあその条件とやらはどうすれば見つかるんだとお思いだと思います。 簡潔にいえば解法を絞らなければふわっと出てきます。 何を言っているんだと言われると少し難しいのですが、あんじさんが基礎完璧だからこそ言えることです。 例えば2005年の京大文系後期の三角比というか三角関数っぽい問題。(調べてみてくださいね) 一橋に似て、問題が圧倒的にキモいです。 ただ、今回の問題では三角関数の公式、和積とか積和を駆使すれば綺麗になります。 そうすると不思議なことに不等式の条件が出てくるんですね。(詳しくはMathmatics Monsterで三角関数のところに同様の問題がありますので見てみてくださいね) このように、不等式→整数問題       sincos→三角関数 というような単調な問題は出ませんので、表面的に分かる情報をこねくりこねくりしてなんとか不等式などの情報を編み出す必要があります。 長々と何を言っているんだとお思いでしょうか? やることはわかっているのだからあとは場数を踏むしかないということです。正直数学で点数を稼ぐのはおすすめできません。手の出ないようなB.Cの問題でも、一旦30分-60分くらい考えてこねくり回して、無理なら模範解答を見る。出来なくて不安なのは痛いくらいよく分かりますが、そういうものです。できる方がおかしいくらいの気持ちでいいと思います。 過去問は、複数回解くことでその大学の傾向を肌で覚えることを可能にし、気付きにくいでしょうけど合格への距離を相当近くしてくれます。なので解けないことにビビらず、どんどん解きましょう。そしてひたすらに解き直し、再現を何度もしましょう。これで基本はどうとでもなります。 なかなか難しく厳しい受験勉強、約半年後ある合格発表であんじさんが笑顔を浮かべられるよう、心からお祈りしています。15:Tf27,京大文学部所属のvenusと申します。よろしくお願いします! 京大文学部を目指して勉強してきた者ではありますが、勉強の過程で東大文系数学に出会うことが時々ありましたので、所感を述べさせていただきたいと思います。 その際、京大と比較する形になりがちなことをご了承ください🙇 まず、東大が京大より簡単だと感じる点は、「1歩目」、すなわち、ヒラメキの部分です。 京大はご存知の通り、質素な問題文で有名なため、何から手をつけていいか分かりにくい。 その点東大は、誘導がついていることもしばしばで、大局的な解答の流れは見えやすいです。 ただ、それ以外は東大の方が難しいと個人的には思っています。 よく、「東大の問題は基礎の積み重ねだ」と言われますが、半分ホントで半分ウソです。 京大は、解法が思いつくと、そこからはトントン拍子で進むことが多いです。一見難解なんだけど、よく観察すると本質はシンプル、というのが京大。 一方で東大は、まず、プロセスが多い。これが「積み重ね」というところの意味するところなのでしょうか…。解答を見ると、京大の問題よりだいぶ長いことが多いです。 それに加えて、プロセスのハードルが高いことが結構あります。 例えば、曲線と放物線で囲まれた面積を求める的な問題で、流れは分かって、「いざ積分するぞ!」となった時に、まともに計算すると分数の5乗→4桁/5桁とかが出てきて手に負えなくなる、という感じ。 でも、東大ってそんなゴリゴリの計算普通させません(させる場合もある)。上手い処理の仕方(テクニック)が大体あるわけですが、解答を見ると、「そんなん思いつくかい」ってやつだったりするんです…。 つまり、処理の要求レベルが「基本」ではない。 以上を踏まえて、質問者さんに助言をさせていただきたいと思います。 まず、部分点で20点稼げているので、基礎力はあると思います。先ほど、東大は方針が立てやすい的なことを言いましたが、基礎力を前提としています。 今質問者さんに必要なのは、応用レベルでの、基礎の運用の練習(←アウトプット)と、その際に出会いうる東大頻出の「ウマい処理の技術」の習得(←インプット)です。 よって、レベルの高い問題集と過去問を併用していくのがよいと考えます。 具体的には文系プラチカ。ハイレベルな問題に出会い、学ぶのにはうってつけな気がします。 また、頻出分野に特化した勉強もありだと思います。通過領域とか確率が東大は多いんじゃないかな? 知らないと解けない問題もあるので、やりながらインプットしていきましょう。 私も、8月京大実戦は2割でした。まだ、京大数学に対する立ち回り方を全く知らなかったんです。 なので、現時点での仕上がり方は、良い意味で参考にならない。1年あれば、自分も磨かれ、相手(東大数学)のこともよく分かるようになっていきます。 敵を知り己を知れば百戦危うからず。 最後にもう一個だけアドバイス。 苦手分野はなくしてください。 心当たりがあれば網羅系参考書で自信がつくまで復習を。 以上です! 国英社も配点が大きいですから、勉強時間をうまく使ってくださいね。 質問者さんの健闘を祈っています!16: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!!17:T10a0,東大数学は文系とは言えども難しい問題が並び、一筋縄ではいかないですよね、、私も初めの段階では全く点数が取れなかったのですが本番では2完半することができたので、ぜひアドバイスをさせてください! まず高2の段階で部分点だけであったとしても、20点を取ることができたのはすごいことです!!(かつての私をも含む)多くの高校生は今の段階でそもそもペンが動かない人が多い中、しっかりと解き進めることができているのはまさしく数学の基礎がしっかりしているからなのではないかと思います。自信を持ってください!! このまま勉強をしていけば問題はないかと思いますが、私の経験&勉強計画を下に書いておきますので参考にしてください。 ーーー 東大数学で高得点を取るために必要なことは2つあると思います。 ①どの分野にも穴を作らないこと ←東大数学は1つの大問の中に色々な分野が織り込まれているので、ある1つの分野に穴があるだけで手が止まってしまうことがよくあります。 ②見たことがある問題のパターンを蓄積すること ←過去問を解き進めればわかることですが、東大の問題には出やすいパターンがあり、例えば確率漸化式、線形計画法などの有名問題があります。これらは1回経験さえすれば、また出てきた時に、ほぼ同じ手法で解き進めれば点数が取れるものと化するのです。経験値を増やしていきましょう! 勉強計画についてですが、私が本格的に数学の受験勉強をするようになったのは高2の2月からで、夏休みに入る前までは週に30hくらい、夏休みが終わるごろからは世界史地理に時間を多く割いたため数学を勉強する時間を週に20hくらいまでに減らしました。そして勉強スケジュールは下のような形です。 ーーー 高2 2-3月 青チャート1周 →基礎的な部分を完全にマスターするためだけが目的だったので、青チャートの例題の部分のみ解き進め、時間短縮のため練習問題や発展問題は全てパスしました。 高3 4-夏休み前 発展的な問題集を2周 →高3に入ってから夏休みに突入するまでは、基礎的なポイントの復習と経験値を増やす目的で発展的な問題集をひたすら周回していました。 夏休み 冠模試の成績を考慮に入れながら、苦手分野の復習をする 夏休み後-共通テスト1ヶ月前 苦手分野の復習&ぼちぼち過去問を解き進める →発展的な問題集はこの時点で3周しており問題もある程度覚えてきたごろなので、苦手分野の復習は問題集を眺め、問題の解法とポイントを頭の中だけで整理し、ある程度整理できたなと思ったらすぐに解答解説を見て、自分の解法で正しかったのかをチェックしていました(解答を作る手間が減るので時間を短縮することができ、効率的に復習ができます)。解法が全く思いつかなかった問題に対しては印をつけて、何回も復習できるようにしました。 →この時期から過去問をとき、経験値を増やすことをお勧めします。時間を測って本番さながらの緊張感をもってすれば、試験慣れもできますし、一石二鳥です。 ーーー 最後に中間目標ですが、私は夏冬の冠模試で数学偏差値55-60を目指して勉強していました。東大受験生が多く受ける模試でもありますので、偏差値は自分の勉強法が正しいのかを確認できる最適な材料かと思います! 文章にまとまりがなく申し訳ないのですが、この回答が何か力になれれば幸いです!わからなかった点や他に聞きたいことがあればいつでも聞いてください!!受験頑張ってください、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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"東大理系数学で合格点を取るには"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは😃!\n\n数学の進め方についていくつか私の経験からアドバイスするので参考になれば幸いです\n\n現在、青チャートを使っての基礎の復習とニューグローバルレジェンドをしているということで基礎の部分が疎かになるということはないように思います。\n\nところで、東大数学の過去問は何年でもいいので解いたことはありますか?もし一度も解いたことがなければ解いてみましょう。過去問を早い時期から解くということはとても重要です。今の自分との距離が分かり、この先どういう勉強をすれば良いのかの指針になります。\n\nまずは、数3を終わらせて高校数学の範囲を一周しましょう。そして次に難易度の高い参考書に手をつけていきましょう。(もしかしたら個別指導の方や、河合塾の方で今後やるべき参考書をおすすめされるかもしれませんが)私は一対一対応という参考書と上級問題精巧をやりました。一対一対応は、受験で頻出な問題に対するテクニックや純粋に難しい問題があります。上級問題精巧は各大学の過去問で良問に入る部類の問題を集めたものです。解説もかなり丁寧に書かれています。問題もかなり載っているので数学力が身につくと思います。ただ、上級問題精巧はある程度難問にとりかかる力がないと問題に対して何にも手をつけられず解説を読むだけというあまり実力が身につかない恐れがあります。なので、一対一対応を終わらせてから上級問題精巧を解くことをお勧めします。\n\n過去問についてはなるべく早い時期から解いていきましょう。先ほども言った通り東大との距離を測ることは合格するにおいてとても大事です。私は受験生の時は6月くらいから解き始め、東大受験までに30年分解きました。こだわりが無ければ昔の過去問から解くのをお勧めします。やはり入試直前に直近の過去問を解きたいです。早く解きすぎて、入試直前にとく過去問がなくなるということだけは避けましょう。ただ、昔の、特に1990年代の過去問は少し難しい問題が多いので注意しましょう。\n\nたくさん話したのでまとめます。\n⭐️まずは高校数学を一周しましょう。そして一対一対応を始めます。なるべく夏前には一周はさせたいです。夏までには過去問を始めましょう。一対一が終わってからは上級問題精巧を解き始めましょう。\n\n自分の中で数学への勉強の向き合い方が確立されているのは素晴らしいです。この調子で頑張っていきましょう。第一志望合格を心から願っています。頑張れ!!"}],["$","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":"京大理系数学の勉強法"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"ANkさん、はじめまして!\n\n\n模試の判定もしっかり取れているので、今の時期からならもう過去問に触れて経験値を積むのが良いかなと思います。\n\nそこで過去問が少し厳しそうという場合には、世界一わかりやすい京大理系数学という参考書を挟んでも良いと思います。私も高3の夏休みあたりにこの参考者で傾向や方針付けについて勉強していました。\n実際の京大の過去問を例題として解説もしっかりとあり、なぜそうするのかなども詳しく載っていたりするので、かなり参考になりました。\n\n\n\n京大の数学は1から自分で方針を作って最後まで持っていく力が必要になってくるので、解く際の最初の考え方としては、\n\nこのような問題なら使えそうな解法がα、β、γの3通りあり、いくつか実験してみてαとβはダメそうで、γがいけそうだからこれで一旦解いてみる\n\nというように方針づくりが必要になってきます。\nなので、ノートなどにチャート式で解法をまとめたりするのもオススメです。\n\n\n\n長くなってしまいましたが、参考になれば幸いです☺️\n応援してます!無理のない範囲で頑張ってください!"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の勉強計画"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"勉強お疲れ様です!\n\n具体的な計画も立てることができていますし、何より偏差値が大きく上がっているので、しっかりと勉強している印象を客観的にも見受けられます。\n\n具体的な対策ですが、数学の勉強時間についてはその心意気でも構いません。しかし、現実的に考えればもう少し英語にも触れていきたいところです。\n\n確かに一橋は数学の出来が合否を分けます。その他の科目では大きくミスをしない限り、そこまで差がつきません。\nただし、英語に関しては積み重ねが大切ですし、長文読解の基礎力がないと戦えませんので、もう少し英語に割く時間を多くしましょう。社会もある程度の知識を少しずつインプットしていかないと記述に対応していけません。これまでの既習範囲を復習していきましょう。よって、平日3〜4、休日6時間前後がベストです。これ以上やっても集中力が落ちて、効率的でもありません。\n\n\n\n扱うテキストや時期は全く問題ありません。\nとにかく、解けない問題・新しい問題に積極的に触れ、模試や本番で後から解けたのにとならないような勉強を意識しましょう。\n\n\n赤本も、まずは共通テストとセンター、共通テスト予想問題含めて全10回分解いてからやりましょう。それが終われば赤本はとにかくやりこんだもん勝ちですし、基本一橋以下のレベルの過去問に積極的に触れる必要もありません。よほど苦手分野がない限りは、東大、京大、東京工業大学、その他早慶医学部レベルの問題を少しずつ解ければ十分です。\n\n\n参考になれば幸いです!"}],["$","div",null,{"className":"flex 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見直しの仕方ですが、私は一周目解いて、「全くわからない」(×)「計算ミス」(△)「なんとなく正解してしまった」(❓)に問題を分類し、「全くわからない」ものについては解説を読み、日を置いて自力で解く。「計算ミス」についてはその場でやり直しをし、きちんと答えを導き出せるか確認(できなければ×へ)、「なんとなく正解」については、解答を見て解法とその根拠を理解し、これもまた日を置いて解き直しました。そして2週目では×と❓のついた問題を解き直し、3週目では全ての問題を紙には書かず頭の中で解法を思いつけるか確認しました。\n\nまた過去問演習に文系の数学赤のみで対応できるか、ということですが、これは難しいと思います。文系の数学赤は基礎的な内容が多く、またカバーしきれていない部分もあるのでこれのみで過去問に挑むのは難しいでしょう。\n私は文系の数学赤が終わった後に国公立標準問題精巧キャンパスをやっていました。大体この参考書で神大レベルまで対応できます。ただ若干解説がわかりにくいのと、難し目の問題も何個かあります。解説が丁寧な方がいいなら、青でもいいかもしれません。\n結論として、赤が終わったら青かキャンパスをやるといいですね。\nこれが終わったら、過去問演習に移ると良いです。より実践力をつけるために、過去問演習と並行して京大の頻出分野(ベクトルなど)については文系のプラチカをやるのもいいと思います。もちろん時間があれば全分野さらうのが理想的ですが、なかなか重い参考書なので、やる分野を絞ることをお勧めします。\n\n参考書ルートはこんな感じです。参考になると幸いです!"}],["$","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 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