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1a:Te64,受験勉強お疲れ様です。
結論から述べると、目的と段階によりますが、基礎問題精講と1対1シリーズの2冊で、基礎から標準レベルの、数学Ⅲの一通りの解法パターンは習得できる(※ただ基礎問題精講だけでは解法パターンは網羅できていないかな)と思いますし、一旦まず数Ⅲを一通り学習するというのであればそれで十分ですが、東工大を目指す上では別の観点から、多少馬力不足な気がします。また数Ⅲを学習する際は、数Ⅲの性格をよく知った上でやるのが効率も良いですし、得策かと思われます。僕の受験体験から数Ⅲに関して2点特徴を挙げます。
1点目、入試問題の数Ⅲは、おおよそ、傍用問題集に乗るような基礎的標準的な問題から、誰も完答できないような難問奇問まで多岐に渡ります。数1A2Bの場合には難問奇問はあまり出ません。ですが、最難関大を狙う学生たちはやはりレベルが高いため、難度の高い問題(過去問で言うレベルCやD)でも部分点ぐらいは狙ってきます。ですので、標準問題を反復するだけでは足りません(もちろん標準問題の反復は大事ですが)。もしAkiさんが一通り数Ⅲの標準問題を解けるようになったのなら、少し難度の高い問題や思考が必要な問題にも触れる必要があります。
2点目、数Ⅲは1A2Bに比べて計算量が著しく多いです。特に東工大は工業大学であるがゆえ、数Ⅲの出題では極限と微積が大部分を占めており、計算量も日本のどの大学に比べても類を見ないほどです。その一方で、基礎問題精講や1対1、チャートなどは解法パターンを習得することに主眼を置いているため本物の入試数学(特に東工大の数学)とは少々趣が異なります。つまり計算は軽めです。
以上2点からアドバイスを述べますと、基礎問題精講と1対1で解法パターンの習得は十分です。チャート式などに手を出す必要はあまりないと思われます。それよりかは、東工大レベルの息の長い計算力と思考力を少しでも鍛えるためにも、上記2冊で解法パターンの習得が済んだのならば少し上のレベルの問題を解く方が良いです。おすすめとしては、それこそ東工大の過去問に触れてみるのが一番手っ取り早いです。もちろん受験生の身としては過去問は残しておきたいのも分かりますが、結局は過去問は直近の5〜10年ぐらいをやれば十分ですので、直近10年だけ残しておいてそれより前の過去問を問題集のように解くのが得策です。他には上級問題精講・やさしい理系数学(←簡単ではない)、理系プラチカ数Ⅲなども東工大等の最難関大受験生にはおすすめです。これらの少し上のレベルの問題を解くことで負担の大きい計算力と息の長い思考力を鍛えましょう。
ちなみに1A2Bは難度の高い問題ばかりを解くよりは標準的な問題をこなす方が良いです。
長ったらしく拙い文章で申し訳ありませんが、僕のアドバイスが少しでもためになれば幸いです。
東工大の数学はやはり難しいです。ですが、そのレベルの高さにめげずに、むしろ数学極めてやるぐらいの勢いで、晴れて合格を掴み取って欲しいです。頑張ってください！1c:T10cb,りぃさん、こんにちは。

数学の基礎を固めたいとのことですが、まずは学校で配られるような問題集(4ステップなど)から始めていくのが良いと思います。

学校で配られるようなもの以外でしたら、青チャートや一対一などをお勧めします。この2択ですと比較的基礎から始めてくれるのが青チャートで、基礎的な理解を前提として演習形式で進めていけるのが一対一になります。

このレベルが難しいと感じるなら黄チャートやそれに近いレベルの参考書を用いると良いと思います。

りぃさんのおっしゃられる数学偏差値50が駿台模試での話なら青チャートか一対一、それ以外の模試での話なら学校の問題集か、チャート式で基礎的なところの復習から始めると良いと思います。

チャート式は広い範囲、多くの開放を網羅的に学習することができますが、その分重要度の低い問題も多いため運動部で時間がない場合は少し厳しい面もあります。

また、一対一は数学Ⅰで一冊など合計6冊に分かれて出版されているため、得意な分野のみ使用するなどしても良いかもしれません。

運動部で時間がないとのことですし、個人的には4ステップなどの学校で配られる問題集を一通りすすめ(余裕があるなら2.3周したいところ)
次に一対一で演習をすればある程度基本は固まると思います。

逆にチャート式は時間のかかる問題集ですので数学に多くの時間を割く覚悟がないのでしたらおすすめはしません。

私が使っていたものとしては以上のとおりですが、他にも良い参考書は色々とあるので近い難易度のものから自分のやり方に合ったものを探してみると良いでしょう。

進め方としては他の分野に関わりの少ない場合の数、確率、整数、データの分析などは一度飛ばして、数Ⅲなどの前提となる二次関数、図形と方程式、三角関数などから進めていくことをお勧めします。

もちろん場合の数なども重要ではあるのですがある程度独立した単元ですので後から追いつきやすいため、一旦後回しにしても問題ないと考えられます。

やり方ですが、このレベルの問題集を進める際には厳密な時間制限は必要ないと思います。ただしすぐに答えを見てしまうと印象に残りづらいですし、時間をかけすぎても非効率なので、最低5分は考え、手が止まってしまった場合は15分程度で諦めると良いと思います。もちろん解き始めてから15分経過した時点で手が動いているなら続行して構いません。

解答を見る際にはなぜ間違えたのかしっかり考えるようにしましょう。ケアレスミスであってもどこでミスをしてしまったかはハッキリさせるようにしましょう。

途中で手が止まってしまったり、そもそも何もできなかった場合は、最低限何が出来れば次のステップに進めたのかは分析するようにすると良いと思います。

効率的な勉強をお望みのようですし、忙しく時間も取りづらいようですので分析の時間を長く取らなくてもかまわないと思います。場合によっては今はまだ理解できないと判断して飛ばしてしまうのも手だと思います。

しかし、問題集を解くのは一周では足りない場合が多いと思いますので、2週目以降は重要度の高い問題や間違えた問題に絞ってもよいのでなるべく複数回解くようにしましょう。

長くなりましたが、私の考えは以上になります。

京都大学を目指すにあたって偏差値50というのは心許ない数字ではあります。(駿台模試の成績だったとしても)しかし、りぃさんはまだ高二ですし、伸び代はあると思います。努力が報われることを祈っています。応援しています。1f:Tf3d,はじめまして‼︎ご回答させていただきます‼︎

私も高2の春から夏にかけてVintageをボロボロになるまで周回して文法を固めて、1年後に早稲田大学教育学部に合格した経験があるのですが、この気持ちめっちゃ分かります😭‼︎

結論お伝えすると、Vintageをやる際に以下の2点を意識して問題解いていただくことが大事だと思います。

①問題を見たときにその問題で訊れている文法事項と出題の意図を説明できる

②ダミーの選択肢がなぜ誤りなのか、理由を説明できる

①に関しては例を挙げると、

この問題は関係副詞と関係代名詞の使い分けを訊かれている問題で、答えは関係副詞になる①だが、②〜④はすべて関係代名詞で引っかけようとしてきている。

こんな感じまで説明できるようになるとベストですね😊

このときにおそらくいのさんからすると、
『いやいや‼︎それができたら苦労しないけどVintageそこまで解説詳しくないじゃん‼︎』
と思うのではないかと思います。

実際私もVintageの解説はコンパクトすぎて参考書だけでは理解が難しく、スタディサプリの関先生の授業なども活用していました。

そんななか、いのさんにぜひおすすめさせていただきたいのが、

YouTubeチャンネルの『ヤマケンスクール』さんです。このヤマケンスクールさんの『Vintage 徹底解説』というシリーズの動画がめちゃくちゃ優秀で、はじめてみたときは度肝を抜かれました😳

▼ヤマケンスクール『Vintage 徹底解説』
https://youtube.com/playlist?list=PLqig431j53SLQV1Ez6-vlJWDxWP0FnFxL&si=x6UbAtSIDiwEsRtR

上の動画はVintageのそれぞれの問題に対し、ヤマケン先生が①と②の両方を丁寧かつコンパクトに説明してくれてます‼︎
（①と②の要素を入れてくれているのに、1問あたりの解説時間はだいたい2分以内くらいです‼︎）このヤマケンスクールさんの動画であれば、そこまで1問に対して時間がかからず視聴ができますし、Vintageを暗記ではなくちゃんと『理解』しながら進められると思います。


私もいのさんと同じく高1のときはなんとなく答えを覚えてしまっていて、範囲が決まっているテストだと点数が取れるにも関わらず、範囲が広くなってランダムで出されてしまうと100点中20点、30点になってしまっていましたが、この方法で①と②がVintageの全問題に対してできるようになるまで徹底的にやりこんだ結果、高2の夏休み明けのVintage全範囲テストで100点中94点を取ることができて、手応えを掴んだという成功体験があります🤗

Vintageは実は間違った勉強法（暗記に頼るやり方）で進めるととても分厚く感じますが、ちゃんと理解をしながら進めて完璧にした今だと、むしろこの本の薄さで受験で必要な英文法をまとめてくれている本は他にないと断言できるくらい優れた１冊だと思っています。
文法はルールなので、どうしてそういう使い方をするのかという根拠が必ずありますから、そこを逐一確認して暗記に頼らない勉強法でVintageを攻略していただけたらと思います。

いのさんにもVintageが実は薄くてすごい参考書なんだという感覚を味わっていただき、１冊を完璧にするということの意味や喜びを体感してもらえたら幸いです🙇‼︎

早稲田受かってください🤗‼︎
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mb-1","children":"各大問の最後の問題は大抵それまでの小問をうまく利用すれば解けます。例えば、整数問題などで最初に具体的な数値を求めたりさせることがありますが、あれは実験によって何かしらの法則を見つけさせることが目的であることも多いです。小問が何のために設置されているか意識的に考えてみるのも良いと思います。\n逆に完答できたのはなぜか、どういう思考をしたのかを研究するのも良いと思います。\nまた、問題量をこなすようになれば、自然と問題の解法が浮かんだりもしますので、焦らず演習を積んでください。以下おすすめの問題集です。\n\n新数学演習\n難易度高め。入試問題の難〜最難レベルを扱っています。問題量も多めですので演習量を積むにも良いです。\n\n大学への数学\n東京出版の月刊本。巻末の学力コンテストの難易度は凄まじいですが、挑戦してみるのもいいかもしれません。また、大数模試(スタンダードコースか最難関コースのいずれか)が掲載されており、最難関コースは難易度も適切で制限時間も設定されているので、模試を解く感覚でやってみてください。\n\n青本\n東京大学へのパスポート(駿台文庫)という東大実戦の問題集があります。同じようなものが河合塾からも出ています。\n\n過去問\n東大の数学50ケ年(聖文出版)などがあります。コロナ禍で倒産したので、Amazon等のみで入手できる可能性があります。50年分、前期と後期の分が掲載されています。解答はありますが、解説は付いていないのでわからないところは先生等に聞くといいかもしれません。\n\n参考になりましたでしょうか？\n模試で解けなかった問題は解説を見て、応用可能なポイントを理解するように心がけてください。また、普段は、難易度の高い問題を何日かかけて考えてみたり、他の解法を色々思い浮かべてみたりしても良いと思います。\n\n\n\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":"早く数学の基礎を完成させたいです🙏"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"まず自分の置かれている状況を客観的に把握できていらっしゃる点を評価したい。私の周りで第1志望校に合格できなかった人の多くは自分の現状をしっかり把握できていなかったと思う。\nまず基礎を固めるためには教科書→教科書汎用問題集→青チャートの順が良いと思う。そもそもの土台ができていないことには応用問題に手がつけられないと思う。学校の進度が遅いなら、自分で先取り学習するのも手だと思う。\n実際に私は朝起きて数学を勉強していた。朝解くものは教科書汎用問題集であった。計算力を高めたり、頭が冴えるように上記のレベルの問題を解いていた。\nたしかに、難関大を目指すならばそれ相応の時期から対策をする必要はあるが、それ以上にどれだけ集中して目の前の課題をこなせるかの方が大事だと思う。\n最後に再喝する形にはなるが、何事にも基礎は大切だと思う。どうしても応用問題に手を出したくなるが、その気持ちをこらえてまずはしっかり土台づくりすることが肝要であると思う。ぜひ頑張ってください！"}],["$","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",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"基礎固めをいつまでやるべきなのか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！東工大一年のたまちゃんです。\n数学Ⅲは夏休みが終わるまでに1対1を完璧にすれば上出来でしょう。特に複素数平面、微積、(極限)の分野は東工大はよく出すので重点的にやって下さい。微積に関しては少し古い本なのですが、「微積分基礎の極意」という本がおススメです。\n1A2Bは1対1を終えて、次のレベルの本に手を出していてほしいですかね…\n具体的には「やさしい理系数学」や「新数学スタンダード演習」、「良問プラチカ」、「理系数学入試の核心」などです。\n過去問は一般的には10、11月頃から始める人が多いと思います。私は直前しかしなかったので、五年分ほどしか解いてないです。\n滑り止め校は直前に2、3年分やれば良いと思います。\n現時点でセンターの点数は割と良く、基礎がだいぶできているのではないかなという感じで良いです。\n東工大の数学は難しいですが、基礎ができていないと解けない問題ばかりなので、基礎を大事に勉学に励んで下さい！"}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"理科基礎満点どうしても取りたいです"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"正直言って、「必ず満点が取れる」というレベルにするのはかなり難しいことだと思います。生物基礎がかなり得意だった私でも、本番1問は間違えたし、今までに見たことも想定したこともないような問題が出て、みんなかなり苦戦していました。\n\nもちろん満点を目指すことは大切ですが、どうやっても「この問題見たことない、解いたことない」ということは起こり得ます。\n\n共通テストはそういうことが有り得る場です。\n\nそのうえで、45点ぐらいずつは確実に取ることができるようになると思うのでアドバイスさせていただきます。\n\n\n★まず化学基礎に関して。\n共通テスト対策のテキストをやってもその点数だということは、明らかに基礎的な知識が足りていませんよね？焦りはあると思いますが、共通テスト形式ではなく普通の穴埋めのような形のワークを埋めた方が得策だと思います。私は正直共通テスト形式の問題を解くよりもテキストを読み込んだ方が伸びました。センターでは「問われやすい問題」というのがあって、それさえ覚えていけば取れるようなテストでしたが、共通テストではそうとも限りません。まだ始まって数年、傾向も定まりきっていないと思います。どのような角度から問題を出されても解けるように、ただ覚えるのではなく適切に理解することが大切です。\n\nただし、インプットばかりではなく問題を解くなどのアウトプットも同時並行で進めないと知識が定着しませんのでそこは注意してくださいね。\n\n★次に物理基礎に関して。\n37点が取れているのであればそこそこ基礎知識はついていると思われます。今まで共通テスト形式でどの程度安定して得点できているのかにもよりますが、普通に今後も多めに共通テスト形式の問題をこなしていけばいいと思います。化学基礎に比べてまだ解いている問題数は少ないようですし。現時点で37点取れていれば演習を進めていってそんなに問題はないと思います。\n\nただ、あまりにも点数が安定しないとか、全然理解できていないとかそういうことであれば、こちらも同じくテキストを買ってやり込んだ方がいいかもしれません。\n\n\n以上が私の意見です。私は理科基礎をやっていたといっても違う教科だったので的外れなこともあるかもしれませんが、参考程度にしていただければと思います。"}],["$","div",null,{"className":"flex 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