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14:T1374,今年，東工大の物質理工に合格したものです。

1.数学について

私が使っていた数学の参考書は，
・フォーカスゴールド
・微積分基礎の極意
・ハイレベル数学の完全攻略(以下，ハイ完)
・プラチカ(文系IAIIB+理系III)
・上級問題精講(IAIIB+III)
です。

参考書ルートは，青チャートで基礎固め→ハイ完+プラチカ(平行してやるorハイ完→プラチカ)
→上級問題精講→過去問演習　　　
時期の目安は，4月のうちに基礎固めを終え，夏休みが終わるまでにハイ完+プラチカを仕上げたい。
微積分基礎の極意は無くてもよいです。
時間がなければ，上級問題精講(特にIAIIB)は飛ばしても構わないが，できれば上級問題精講IIIの600番台はやっておきたいですね。

やるうえでの注意ですが，ハイ完は問題へのアプローチを学べる参考書です。
したがって，問題を解いて終わるのではなく，アプローチ及びフォローアップを隅々まで読み込み，自分に落とし込んでください。そうでないとこの参考書の効果は半減します。
一方，プラチカは問題数をこなす用の参考書だと思ってもらったらいいです。

過去問は20カ年を10月あたりから始めたら十分です。おおよそですが，10-12月中旬までで2010年まで，共通テスト後に2011年～という感じでいいかと。問題の傾向を掴むために，今のうちに数年分やるのもありでしょう。
以下のURLに東工大数学が1956年から掲載されているので良ければ利用してみてください。(ただし，古いものは傾向が異なるため注意。古くても2000年以降のものが良いと思う)
http://kubojie.net/titech.html

(時間に余裕があれば)
以下のサイトにある問題のうち，頻出分野や自分の弱いと感じる分野をやってみてください。気分転換にもなるかも。
https://mathclinic314.com/
https://www.mathematics-monster.jp/
＋東大数学の過去問も類題が出てたりするので，できればやりたい。

さて，東工大数学の頻出分野ですが，
整数，微分，積分，数列，極限，確率あたりです。
この中で重点を置くべきはやはり微積分でしょう。演習を積めば確実に点数が上がります。
次点で整数，複素数あたりをやりたい。東工大で頻出かつ苦手な人が多い分野なので，得意であれば差を付けられます。プラチカ，上級問題精講にある問題を解き切れば十二分に実力が付くでしょう。
ただし，2024年のように微積分がほぼ出ないという年もあるため他の分野もまんべんなくやるべきです。


2.勉強法について

効率的な進め方についてですが，
・数学は朝にやる
・眠い時は無理せずに10分程度の仮眠をとる
・スマホをグダグダ触らない
・家でやらず自習室や図書館でやる
ぐらいでしょうか。効率的に進めるには勉強法というより，やる時間帯，環境，生活習慣等が重要であるように感じます。
家でやるとどうしても誘惑が多くなるのでやめておいたほうが良いです。それと自習中，スマホの電源を切るor家に置いていく。

・部活終了前
部活の隙間時間を利用するなどして時間を捻出しましょう。

・部活終了後
部活が終わり次第，一日１２時間以上は勉強時間を確保したいです。
時間が足りないのであれば学校を休むのも一つの手。私は二学期以降，週に1～2回休んでました。

・共通テストについて
東工大は配点が0とはいえ，共通テスト利用，後期出願を考えると少しは対策するべきです。
具体的には，3週間前ぐらいからでよいでしょう。ただし，二次力が鈍らないように1日1題は数IIIの問題を解くようにしていました。

・共通テスト後
ここからはひたすら過去問をやってきましょう。
1日でやるのはきついので，
1日目：数学＋英語
2日目：理科
余った時間で復習＋過去問以外の教材の復習
といった感じでやると良いと思います。

それと，私が直前期にやって一番実力が付いたと感じたのは以下のものです。
https://drive.google.com/file/d/1irPQ5G2pMNqkdBQhnJQPxaeP9m5B5iZo/view
(製作者さんのtwitter：https://twitter.com/issiki_kyoto)
過去問を解き終わって余裕があればやることをおすすめします。



こんなところでしょうか。これから一年間，めちゃくちゃきついです。ただ，
私はやって楽しかったです。応援しています。頑張ってください！！！15:Tdf2,青チャートに関しては、その進度で全く問題ありません。むしろ、とても順調で、周りの東工大志望の人よりも早く周りと差をつけられていると思います。青チャートは、入試に出題されるような問題のほぼすべてのパターンを網羅しているので、すべての問題を完璧にしたらMARCHや理科大の過去問では合格点をとれても全くおかしくありませんし、早慶や東工大の過去問でも十分戦えてもおかしくありません。ですので、自信を持って頑張ってください。
青チャートの後の参考書に関してですが、人によって色々な好みがあるので、以下に候補を挙げておきますので、ぜひご自身で書店で手に取って決めていただければなと思います。
＜分野網羅型＞
標準問題精講：青チャのコンパス３から５＋αのレベルの問題集で、解説が丁寧で、自習しやすい。
１対１対応の数学：青チャの後の問題集としてよく薦められる問題集。入試における典型問題が豊富に掲載されていて、入試に必要な手法が身につく。
理系数学の良問プラチカ：こちらも、入試における典型問題が多数掲載されていて、解説も丁寧で、おすすめされることが多い参考書の一冊である。
理系数学入試の核心標準編：少し難易度が上述の参考書より上がってしまうが、十分に手をつけられるレベルであり、実力が付くと思う。
＜分野別問題集＞青チャを完璧にしても、分野によってはどうしても苦手な分野があると思うので、東工大などの難関大でよく出題される単元に特化したおすすめの問題集も紹介しておきます。
①微積
　微積分・基礎の極意：理系微積分に必要な知識はもちろんのこと、知っていると周りと差がつくような考え方も載っており、入試直前まで使える。
②整数
分野別標準問題精講整数編：整数に必要な考え方が身につくように、様々な難易度の整数の問題が掲載されていて、この１冊を完璧にすればほとんどの整数問題は解けるようになる。
③場合の数確率
合格る確率＋場合の数：入試に出る場合の数確率の問題ほぼすべてのパターンを網羅していて、本当
におすすめ。
④軌跡領域
数学の真髄論理写像：難関大で頻出の軌跡領域が苦手ならばこの１冊がとてもおすすめ。集合と論理の解説から始まり、順像法や逆像法の本質的な意味まで解説されており、軌跡領域に対する理解がとても深まる。
＜その他のおすすめ＞
まだしばらくは手を出さないほうがいいと思うが、高校三年生の夏ごろから始めるといい問題集があるので、紹介しておきます。
ハイレベル数学の完全攻略：この本は、掲載されている問題数は少ないが、１問に対し、「なぜその発想をするのか」などのことが詳しく書いてあるので、とてもおすすめです。
東工大は、数学化け物が合格していくというイメージが付きがちですが、実際は、英語と化学で安定して高得点を取って合格していく人が多いので、英語と化学は早めに取り掛かるといいですよ。
勉強頑張ってください。

16:Tb84,青チャートの進め方→やらなくていい問題→1日の問題数
の順で説明します。

📉青チャート攻略方法📊
①青チャートの問題を見て、回答の方針が立つか(この問題はこういう解き方をしますってのが人に説明できるかどうか)を判断して出来るならば問題に○をつけて下さい。無理なものには△をつけてください。全部の問題に対してこの作業が終わったら②にいきましょう。 

②△の問題の解答を読んでみてください。「あ！こんな感じだったな！」ってわかるものは△のままにしておきましょう。「何だこれ？」ってなったら×をつけましょう。

判断の目安は、一回解答を読んだ後解答を見ずに問題に答えられるモノを△にしましょう。

③×になってるところを1日5〜10問ずつ解いていきましょう。二周目から解答を見なくても方針が立ってきたら△に書き直しましょう。

④残った×の問題は解決しないとこれから先あなたがずっとミスをし続ける問題なのでいつでも見れるように印刷したり、日替わりでスマホのトプ画にして頭に刷り込みましょう。

⑤④と同時並行で△の復習をします。問題を見て解答をどういう風に答えれば良いかの方針を立てられるか何回も確認しましょう。実際の計算はやらなくて良いです。


📘やらなくていい問題📕
簡単すぎてやらなくていいという意味合いと、難しすぎて必要ないという意味合いの2種類あると思います。
簡単すぎてという意味では一度上の流れに沿って解いてみて1回目で完璧に正解できた問題は2回目以降やらなくていいです。
難しすぎて必要がない問題というのは志望校によります。2次試験で数学を使うようであれば(東大や一橋など)全問題に目を通してほしいです。そうでない場合でもコンパス5までしっかりやってほしいです。

📆1日何問解くか🗓
これは単純に問題数を日で割りましょう。全ての問題を解くとすると青チャートは1a2b合わせて2000題あります。一周した後で半分は復習が必要だと仮定すると二周目は1000題解く必要があります。三周目は500題、四周目は250題…とすると最終的に4000題解ければ青チャートは完璧になります。(正答率は50%に仮定しています)
4000題/200日=20題となるので1日20題解けば完璧になりそうです。ただ、一題10分としても1日3時間近く青チャートに割く必要があります。
復習をどれだけ完璧にこなすか、どのレベルの問題まで解くかは自分の他の科目の進捗を考えながら決めてください！17:Td37,初めまして。
数学の勉強についてアドバイスできたらと思います。質問者さんはしっかり基礎を固めようという勉強のやり方ができていて本当に素晴らしいと思います。質問者さんの通り、数学で本当に重要なのは基礎です。そのために青チャート、素晴らしい武器だと思います。そしてその青チャートの進め方、素晴らしいと思います。どの問題も見た瞬間に説明出来る。これは本当の理想形だと思います。まぁでも実際に全ての問題をそこまでに持っていくのは本当に本当に簡単なことでは無いです。しかしそれを目指して勉強することは価値のある事だと思います。もちろんできなかった問題には印をつけて2週目、さらにできなかったものは3周目…とまずは完璧に解けるようにすることを目指して、どうも苦手であまり解けないなと思う問題を解法から全て解説できるようにするというのでも十分かと思います。自分の中で分かりきったほどまで理解出来ているような問題であれば別にそれを極める必要は無いかということです。僕が青チャートを解く上で意識していたのはそのように抜け目の無いようにしよう、ということです。何周もして分からないものを無くしていく。そして次の参考書や過去問に挑んだ時分からない問題や不安な問題があったら同じ分野の青チャートまで戻って、時には教科書まで戻って復習する。そのことを心がけていました。
正直、青チャートを完璧にするというのはゴールの見えないレベルで難しいものだと思います。いつくらいに完璧になったかという質問には僕は答えられません。本番の前まで青チャートを確認していました。夏くらいには他の参考書にレベルを上げていたかもしれませんが、青チャートが完璧になったとは本番前まで言えなかったと思います。というか結局完璧にはならなかったというのが正しいかもしれません笑。でも、これだけは確かに言えるのですが、数学に限らず勉強の本質は復習にあるということです。完璧にするという言葉の裏には常に復習するという言葉が隠れています。ですので真の意味での完璧を目指して固執しすぎるのではなく、先程言ったように他の問題を解いていて分からなかったらその都度青チャートや教科書に戻ってくる。ある程度完璧に近づいたならこの作業というか復習することが本当に大切になってくると思います。
質問者さんは背伸びをせずしっかり基礎から勉強しています。これは実はかなり凄いことで、それが出来ていることにまずは自信を持ちましょう。またその進め方も自信を持っていいと思います。僕か言ったアドバイスはあくまでぼくの意見ですので、質問者さんがもっとこれだ！と思う勉強があるならそれを極めてみてください！どうか質問者さんの勉強が捗ることを願っています。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":["「","青チャート 次 東大","」の検索結果"]}],["$","div",null,{"className":"border-b-2 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"青チャートより難しい問題を使うべきか？"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！\n\n判定も悪くて苦しい状況だと不安になりますよね😢\n\n回答ですが、絶対に青チャートをもう1周、なんなら問題見たら解法がパッと浮かぶぐらいまで何回でも周回しましょう。青チャートより難しい問題集は数学が得意な人が最低でも東京一工や国公立医学科を狙う時に数学を絶対的得意教科にするために解くものです。(ちなみに僕は東北の医学科ですが数学が合格者平均付近でしたが数3青チャートの難易度４以上は普通に全滅でした。)数学が苦手な人が解いても、分からなくてモチベは下がるし解法習得もできないしではっきり言って効率が悪いです。\n逆に言うと、青チャートが完璧にできるだけで数学に関しては国立で言ったら旧帝医学科レベル以上、私立なら医学科でなければどこでも受かるレベルの学力が身につくわけです。\nなので安心して青チャートをやりましょう。\n\n慶應はもちろん問題も非常に難しいので青チャートで対応できない問題も多々出ると思いますが、そういう問題に対して青チャートで養った数学力で完答は無理でも途中まではいける(=部分点は稼げる)はずです。\nそれで優しめの問題を完答できれば合格には大きく近づくので問題ないと思います👍\n\nあと半年強大変だと思いますが勉強頑張ってください🔥"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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