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19:Td59,現役東工大500点越え、非進学校出身、塾なし独学の者です。
質問に可能な限りお答えさせていただきます。
まず、高一の時点でそこまでやる気があるのは素晴らしいと思います。自分自身も高一から青チャートで勉強を進めていたので境遇は非常に似ていると言えます。早速ですが質問について
1、ペース
青チャートのペースは良いと思います、よく考えているのが伝わってきてグッドです。だた、年内に1対1を終わらせるのは無理があります。青チャートの次に1体1をやるのは基礎を完璧にするためです。1対1やってすぐに応用問題が解けるようにはなりません。もっというと青チャート→1対1のルートを取る人に共通していることは、「同じ参考書をずっとやるのが苦痛である」ということです。実際、青チャートを7割くらいできるようにして1対1を7割くらいできるようにするよりも青チャートを完璧に解けるようにする方が絶対に伸びます。お勧めは青チャート数1A2B3Cを2025年末までに完璧にすることです。

2、参考書について
自分は塾でバイトをしている都合上たくさんの参考書を見たり使ったり勧めたりしますが、優しい理系数学は「応用問題が解ける人が応用問題に使う解法を確認するための参考書」であって、間違っても「応用問題を解けない人が解けるようにするための参考書」ではないです。かといって、真解放への道は難しすぎます(掌握の若干下位互換位の難易度でトップレベル)そこでお勧めするのが新数学スタンダード演習です。これを2025(1月)〜2026(7月末)くらいまでに完璧にすれば東工大で合格点をとるくらいの実力はつきます。そこからは正直自分の苦手を埋めたり、時間に余裕があれば新数学演習で更なる高みを目指したり、個性が出てきますから何とも言えません。

2、過去問の時期
買うのはいますぐです。どういう問題があるのか何となく把握しましょう(多分何が書いてあるのか全くわからないと思いますがそれで構いません)解くのは、青チャートが完璧になったら5年分くらい、新スタンダード演習が完璧になったら本格的に解くというのをお勧めします。

3、改善案
なのでよく陥りがちなミスを紹介します。それは数１数2+数列の基礎が完璧じゃない状態で数3Cに入ってしまうということです。全統の偏差値が60というのは基礎が完璧でない状態です。青チャートの例題が全て解ける状態なら少なくとも偏差値68は切らないです(150-160点)この状態で数2だけを勉強するのは良くないというよりも
単純に効率が悪いです。偏差値60の状態で数2Bを勉強していくよりも65の方がそれよりも70の方が吸収速度が早いです。これはあくまで提案ですがおすすめは
月、水、金、(日)は数2Bを5題1Aを5題
火、木、土は数2Bを7題1Aを3題
と決めてしまうことです。(上は例です)

4、最後に
絶対合格できる、頑張って！1a:T116b,こんにちは！

質問の「合格点」を60~70点/120点満点として考えて回答します！（目安でいえば、3完ほどになります）。点を稼ぎたい、ということも書かれているので、最後のほうに80点以上を目指す方法も簡単に述べます。

まず、ちゃたさんの現在の状況は進度や成績のともに概ね順調で、現役合格も見えていると思います。勉強法は確立されているとのことなので、おすすめの本について書きますね。参考までにですが、私は独学＋Z会で数学を勉強して、秋以降は基本的に3完以上は出せるようになりました。

◇大まかなスケジュール
受験までにあとこなすべき問題集は2～3冊だと思います。数学は化学などと異なり、ここからは問題集が参考書の代替になっていくので、ひたすら問題集を解いていくのが重要です。過去問を解き始める時期を加味して、9か月で3冊こなすとしたら、単純計算で3か月で1冊です。かなりゆっくりに見えますが、数1～3までをやると考えると緩くもきつくもないペースです。

◇1冊目に入る前に
まず、何よりも優先的に数3の体積は終わらせるべきだと思います。もっと言うと、青チャートは数1～3までのすべてをゴールデンウィーク時点で終わっていると余裕ができます。「青チャートだけで東大数学は解ける！」のような言説がよくありますが、これは実際には、大学入試の内容は教科書にある内容しかないのだから教科書を読めばなんでも解ける、みたいな暴論だと思います。青チャートよりも難しい参考書に早く進むためにも、（おろそかにはしない前提で）サクサク進めましょう。

◇1冊目（～夏休み終わりくらい）
いくつかおすすめの参考書を挙げます（ニューグローバルレジェンドでも良いかもしれません）。

・プラチカ
数3のほうはめちゃめちゃむずいので注意が必要。

・やさしい理系数学
「やさしいと言いつつ難しい」という噂が独り歩きしているが、意外と本当にやさしい問題も多いので、青チャートの次にやるのはおすすめです。

・新数学スタンダード演習
「大学への数学」の増刊号で、私はこれを主に使っていました。面白い解法なども多く、気軽に解ける形式なのでめちゃめちゃおすすめです。問題ごとに難易度を表すアルファベットが振ってあり、難問に時間が溶けていくのを事前に防止できます。

◇2冊目（～11月くらいまで）
11月くらいからは過去問も進める人が多いので、夏休みとその時期をつなげるための本を挙げます。ここまで来たら、初見の問題への対応力を鍛えたい部分もあるので、何周もしなくても良いかもです。

・新数学演習
上述の新数学スタンダード演習の続編です。これも難易度が振ってあります。ちょうどいい難易度だと思います。

・上級問題精講
基礎問題精講の最強バージョンです。問題文が短い系の問題が多い印象があります。問題数もあまり多くないので、数3まで合わせてもそこまで時間をかけずに解ききれるのがメリットです。

上の2冊を順に、2，3冊目とするのもありだと思います。

◇80点以上を目指すなら
もっと東大特化型の問題集に触れる必要があります。私はやっていませんが、以下の二つが有名な印象です。

・鉄緑の50年過去問
・掌握シリーズ

長くなりましたが、簡潔に言えば、とにかく青チャートなどで基礎を完成させて、夏までに応用力を磨き、秋から冬にかけて過去問レベルまで解けるようにして、最後は過去問と同時並行でやったりもっと深い過去問研究をする、というのが大要です。このスケジュールだと、夏までは地道なところなので、飛躍的にも市などで成績が伸びることはないかもしれませんが、最後は必ず結果がついてくるので忍び強く頑張ってみてください！2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=T8SqCp23tUAG8ypVMAbW","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"高1で数Ⅲ・Cを終えるには？"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",0,") コメント(",0,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"4/23 4:43"}]]}],["$","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。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_25V2sBvJFsUogD4RBtfotg1hqf22.jpg?alt=media&token=86f9cc37-8859-42e4-87da-5cf25f435398","clientUserName":"ーナスリ","infoString":"高1 茨城県 早稲田大学社会科学部(70)志望","adviceId":"T8SqCp23tUAG8ypVMAbW"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"偏差値50高校に通う、高校1年生です。最速一年でベクトルまで(使用する参考書はやさしい高校数学シリーズ)終わらせたいのですがそのためにはどういったペースで参考書を進めればいいですか？あと、やさしい高校数学シリーズが終わったら問題精講シリーズ又はチャート系で数Ⅲまでやりたい(河合模試偏差値60レベルまで上げたい)のですがそちらも高二の夏までに終えたいので教えて欲しいです！！"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}],null]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"回答"}],["$","div",null,{"className":"mb-4","children":["$","$L15",null,{"adviserImageUrl":null,"adviserName":"おんせん","adviserDepartment":"北海道大学医学部","adviceId":"T8SqCp23tUAG8ypVMAbW"}]}],["$","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":[["$","div","advice-part-0",{"children":[null,"こんにちは\n数学3Cを高校二年生までに終わらせてやるというやる気はとても素晴らしいと思います\n　\nしかし、学習において大事なのは早く学習することではなく確実に理解することだと思います。数学I Aが苦手な状態で数学3Cを学習しようとしてもなかなか理解するのが難しいのではないかと思います。数学3Cは計算が煩雑でなおかつ公式も覚えにくいものが多く数学I AIIBの知識を前提としています。なのでまずはI A 2b青チャートのコンパス3つ(4つ以上は難しかったら一旦飛ばしてもOK)の問題を完璧にしてから数学3Cの勉強を始めることをおすすめします。\n　\n数学3Cも青チャートのコンパス３つまでを完璧にすれば偏差値60なら取れることも可能だと思います。\n\nペースですが高二の夏までに数学3Cまで終えたいのなら今年中までにI AⅡBの青チャートを完璧に、1月から夏にかけて3Cの青チャートを完璧にすればいいと思います。\n完璧というのは青チャートの問題をランダムに出されても確実に解ける状態にしておくことを指します。\n　\nあと質問とは関係ないですが登録が文系で第一志望が早稲田大学になっていますが早稲田大学の入試では数学3は使われないはずです。志望校に合格するためには受験校の入試科目等を調べてから勉強することをおすすめします。\n\n数学の勉強はなかなか苦しくすぐに結果が現れるためじゃないのでしんどいと思いますがいつかグッと伸びる時が必ず来るので挫けずに頑張ってください！！応援してます！！"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":null,"adviserName":"おんせん","adviserDepartment":"北海道大学医学部","adviceId":"T8SqCp23tUAG8ypVMAbW","numberOfFan":0,"clipsAvg":0.3333333333333333,"adviceRateAvg":0,"profile":""}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink パンフレットバナー画像","className":"mt-4 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"青チャートはハイリスクハイリターン？"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"\n現段階でそこそこの数学力があるようですが、それは他に何か参考書をやっているからでしょうか？\n\nそれだったら、今から無理に青チャを始める必要はなくて、むしろ今まで使っていた参考書の復習等に時間を割いた方がいいです。また、どうしても新しいものをやりたいと思うなら、青チャは分量が多すぎると思います。めちゃくちゃ簡単な問題も載っていて、全問題をカバーしており、辞書みたいに使えるのが青チャの特徴です。自分は高2の秋から進め始め、高3のgw前にはexciseや総合問題等も含め終わらせてました。ここまでやっておくと、あとは復習簡単になるし、模試などで引っかかったところをすぐに見直せて、上記のように辞書のように扱うことができます。\n\nそれなので、今から青チャはおススメしません。それよりももう少し問題数を絞ってある一対一対応・スタディ演習・プラチカ・松田の数学type100等がおススメです。たしかに、この時期から夏の終わりにかけて何か一冊終わらせておくこと自体はかなりいい方針だと思います。そして、これらの参考書をやる中で、不安のある部分は、今まで使っていた参考書等の復習を行うというのが良いと思います。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 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mb-1","children":"先取り学習、いい心がけですね。特に数学はやった分だけ伸びますので早め早めに終わらせましょう。\n\n先取りの仕方とのことですが一旦数3Cまで全部やっちゃいましょう。高校の先生に言えば数学3Cの教科書を貸してくれるだろうし、無理なら自分で買っても良いかもしれないです。\nとにかく全分野を一気に終わらせて、高校数学を俯瞰できるようになってから理解や問題演習に移った方が効果的かもしれません。\nというのも高校数学は数学3の微積がゴールです。そのための準備として数学1A2Bがあると言っても過言ではないです。数学2Bでしたら恒等式と部分分数分解とかがその範囲かと思いますがこれらは数学3の積分のためにやってます。\n指数関数・対数関数・三角関数も全部微積です。2次関数も微積に繋がります。全て微積のためです。\nですので一旦数3までやりましょう。チャートなら星2（コンパス2？）くらいの問題を一通り解けるくらいになったら次々進んじゃいましょう。\nその後でこれがこう繋がるのか、ここを押さえておくとあそこに繋がるのか、など有機的な学習で理解を深めていったほうが個人的には良いと思います。\n\n物理・化学に関しても基本的には同じでとりあえず全部やりましょう。リードα・セミナー・エクセル等の傍用問題集が渡されているのでしたら最も簡単な問題（A問題？必修問題？なんかそういう感じのやつ）を一通り終わらせて全体を俯瞰できるようにしてからもう一周としていけば理解が一層深まると思います。\n\n学問は勉強のように途切れてはいません。難関大になればなるほど、過去問にもその色が強く出ています。\n最近の東大や東工大の物理は従来の常識にはとらわれず、他分野複合問題がトレンドです。\nそこに対抗するにはこちらも分野を分断して学習するのではなく、最終的には全て繋がっていくのだという認識で学習していくのが実は一番早いかもしれません。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":"先取り数学の教材"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"まずは焦らずⅠAⅠⅠBをやりましょう。最低でも青チャートレベルの問題の9割はスラスラ解ける程度になるまでは数Ⅲには触れなくていいです。\n(もし既にそのレベルに到達してる場合は※まで飛ばして読んでください)\n\n数Ⅲは最初こそ難しいものの慣れてしまえばパターンが少ないため解きやすく、僕も僕の周りもⅠAが1番難しく次にⅠⅠB、1番簡単なのは数Ⅲと言ってます。\nちなみに数学が得意な人ほどこのように言う傾向が強いです。\n\n数学がある程度得意なのであれば数Ⅲはさほど苦戦しません。それよりベクトルや整数などの曲者の方が苦戦する人が多いです。\n\n2次試験にも数ⅠAⅠⅠBは出るので先にそちらを極めてから数Ⅲに入ることをおすすめします。\n\n※数Ⅲをやるのであれば個人的にはFocus Goldをおすすめします。\n僕が現役時代使ってた問題集なので偏った意見になってしまうかもしれませんが、解説が丁寧で各単元の頭の部分に重要事項がまとめてあり、独学で勉強するのであれば、かなりオススメです。\n\nそれとウェブサイトで積分ガチャと調べると出てくるサイトがあります。\n積分に入り積分の基礎を固めたいと思ったらこれを毎日やることをおすすめします。(4)までは東大を目指すのであれば解けるべき問題です。\n\n拙い文章ですみませんでした。\n参考になれば幸いです。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"網羅系数学参考書の使い方について"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"そのやり方でいいと思いますよ！\nただ、1度解けた問題であっても無作為に選んでたまーーに解いてみてください。意外と詰まったり、解法が意味つかなかったりするものがあると思います！　1回出来ても2回目みてみるとわからない、なんてことはざらにあるので1度出来ても少しでいいので復習はしておきましょう。\n\nまた、私の友人に京都大学合格者がいるので高校3年時のスケジュールを載せておきます。参考になれば幸いです。\n\n春休みには青チャート(LegendでOK)の履修範囲(数3微積がすべて終わっていなかったので)のみを完璧に仕上げていました。このとき余裕があればEXまで進めておくと次の参考書へスムーズに進めると思います。(この段階は早ければ早いほどいい)\n\nこの次は標準難易度の大学入試問題集(プラチカなど)だったり1対1を挟んで、「世界一わかりやすい京都大学理系数学」をはじめとして京大入試問題に取り組んでいました。\n最後(11月以降くらい)は京大理系数学25ヵ年(20ヵ年かも)をひたすらに解いていました。\n\n最難関大学では数学ができれば受験を制すると言われているので数学は超重要な教科です。できるだけ早くレベルを上げておくと周りと差をつけることができますよ！\n\n何か細かいことなど質問があれば気軽に聞いてくださいね\n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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