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19: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！！！1b:Tbcd,新高3ということですので過去問をやる期間を考慮しておすすめの問題集を教えたいと思います。
まず夏休みまでに青チャート1A2Bの出来なかったところの復習、今やっている他の問題集を終わらせてください、また3を夏休みが終わるまでに復習も含めて終わらしてください。数学は基礎がとても重要ですので青チャートでの訓練が数学力を底上げしてくれます。
基礎が固まった段階(遅くてもなく休み始まるまで)ですが蓄えた基礎を難しい問題に応用させる技術を磨くための問題集としてやさしい理系数学をお勧めします、別解が豊富にありますので自分がやったものと違う解法があった場合それらも理解しておくと今後の解法の幅が広がります。1A2B9月中に3は10月中に終わらせた方が良いと思います(もちろん11月以降も大事な問題できなかった問題はちょくちょく触れる)
10月からはそれらと同時に掌握に赤をすることをお勧めします。掌握は難しい問題を見てどうやって解法を選ぶかという発想に重点を置いておりその思考回路が言語化されているため今まで得た解法を体系的にまとめることができます(僕はこの参考書のおかげで大幅に成績が上がりました)。世間一般では難しすぎるからやる必要ないとかよく言われますが赤や緑はそれほど難しくなく阪大以上なら全然解けるレベルですので試してみてください。二週間あれば終わります。ちなみに青と緑はやる必要ないです、それぞれ東大、京大に特化しているので。
それが終わったら(終わる前でも可)過去問に進んでください、難関校は傾向の把握がものを言うので超大事です。
上のルートでも結構早く終わって時間が余ったり、全然足りなかっていすると思うのでご自身で調整してください。時間が余りそうな場合青チャートが終わった段階で理系数学完全攻略をすることをおすすめします。レビューを見れば一目瞭然ですが大絶賛されています。こちらも思考回路に重点を置いており三週間あれば終わります。
あまり難しくないのでやさ理の後だと無意味になってしまうかもしれません。
また理系であれば数学に頼るのは危険ですので理科の勉強も怠らないでください。

なんか命令口調になってしまいましたが全ては僕のおすすめなので参考程度に自分の好みも合わせてじっくり計画を練ってください。やさ理、掌握じゃなくてこの参考書はどうだ！とかあればコメントしてください、可能な限り自分の意見を述べさせていただきます。あと1年全力で頑張ってください。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=cZwx6rrmrCmDpCMkCcF5","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"青チャートが終わったら"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",4,") コメント(",0,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"7/14 20:09"}]]}],["$","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。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":null,"clientUserName":"未登録ユーザー","infoString":"高1  東京大学理学部(68)志望","adviceId":"cZwx6rrmrCmDpCMkCcF5"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"春から高校二年になる者です。理系として東大を目指しています。青チャートを完璧にしても、二次試験を考えると厳しいと思うのですが、青チャートが終わったあとにやるべき数学の参考書を教えてください。"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}]]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"回答"}],["$","div",null,{"className":"mb-4","children":["$","$L15",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_ucB1fHz97eQwRbv7JA2AFIBwmeH2.jpg?alt=media&token=b8c74328-205c-4c90-9715-26a4d95b4073","adviserName":"さかさか","adviserDepartment":"京都大学工学部","adviceId":"cZwx6rrmrCmDpCMkCcF5"}]}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"青チャートはやるべきなのか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"慶應の経済学部の者です。\n\nまず回答を述べると、青チャートなどをやって基礎〜標準を固めるべきです。\nなぜかというと、そっちの方が広範囲に手を伸ばすことができ、応用性も高いからです。受験数学は基本型を身につければ、ほとんどの問題は解くことができます。だから、青チャートでも一対一でもいいから、いわゆる網羅系と言われる問題集1冊はしっかり夏休みの終わりまでにきっちり仕上げましょう。\n\nそしてもう１つ。文系プラチカはめんどくさかったり、難しい問題が多いので、標準から難問への橋渡し的問題集には向いていません。だから、理系プラチカを使うことをオススメします。こっちの方が過去問などの接続がスムーズに行くと思いますよ！\n\n大変なことも多いでしょうが、是非頑張ってください！応援しています！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$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 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"青チャートは出来るがプラチカが解けません。。。😭"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！\n\n大阪大学人間科学部の、のぞみといいます。\n\n私は青チャート→1対1→プラチカのルートをおすすめしていますが、青チャートの使い方によっては1対1を飛ばしても大丈夫だと思っています。\n\n京大受験をする人は多くがプラチカレベル、もしくはスタンダード数学という参考書までやると思うのですが、\n青チャートで対応する人もいます。\n\n要は、どこまで参考書に書いてある知識を自分のものにできるかなので、1番大事なのはやり方です！\n\nプラチカは私もやっていましたが最初はほんとにわからないです。ので、次のような方法でやってみてください。\n\n\n①問題を解く\n②完璧に解ければもうその問題はやらない。\n③つまってしまったり、わからなくなったら、すぐに何がわからないかを明確にして書きだす。\n④答えを見る。\n⑤答えを理解する\n⑥自分にどんな知識または発想があれば解けたのかを書き出す。\n⑦何も見ずにもう一度解く。\n⑧⑥で発見した弱点をつぶす。\n\nわからなかったら、何がわからないのかを答えを見る前にはっきり書き出すこと。\nそして答えをすぐ見ること。\n\nこの2つを大切にしてください！\n\n春と夏はこのやり方で、自分の弱点を潰して、応用力を磨くことを意識します。\n自力で解けるようになるための演習は秋から過去問、またはスタンダード数学でやっていきます。\n\n\nもしあまりにもプラチカが大変でしたら青チャートのエクササイズをやるといいかもしれません。\nただ感覚的にはプラチカと同じかちょっと簡単ぐらいだと思いますので、プラチカをやればいいと思います！\n\n\n\nプラチカは最終的に受験のときに完璧になればいいので、今の時点では焦らなくて大丈夫です！！\n\n\n陰ながら応援しております！\nまた分からないことなどあれば、いつでもきいてくださいね！"}],["$","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 mr-3","children":[["$","div",null,{"className":"mb-1","children":"基礎問題精巧の後に青チャートをやるべきか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"自分は、数学受験で慶應経済に入ったものです。\nやった数学の参考書（1A）を順番に並べていきます\n1.基礎問題精巧1A\n2.1対1対応　大学への数学1A\n3.標準問題精巧1A\n4.文系プラチカ\n5.上級問題精巧\n6.ハイレベル完全攻略\n7.全レベル問題集1A2B レベル4\n8.やさしい理系数学\n9.大学への数学　月刊\n10.一橋大学の数学　慶應経済の数学　赤本\nここに載っているものを全て完璧になるまでやった結果（30周ずつくらい）東進の4月の早慶上理模試で4/1791位、9月のatama＋共通テスト模試で1A96点 2b98点をとれました。\n基礎問題精巧を完璧にしたのであれば共通テスト8割（今年は例外）は取れます。青チャートは気が滅入らないのであれば2番目にやっても問題ないと思います。自分はあの分厚い参考書に拒絶反応が起きた結果1対1対応と標準問題精巧に逃げました笑。もしくは自信があるようでしたら標準問題精巧、文系プラチカをやるのもありかと思います。\n京大の文系数学も20年分くらい解きましたが、レベルの高い参考書をたくさんやるよりも、基本の型を完璧にしていれば解ける問題も多いイメージです（文系プラチカ、大学への数学月刊くらいまで）。\nもちろん京大数学は一見初手をどうすればいいのか分からないものが多いですが、考える時間は十分に与えられているので、何の分野の融合問題なのか、求めるべきものは何なのか、それを求めるにはどんな手法があったか（最小、最大なら関数と範囲、相加相乗など）、それを考え与式の形を使いたい公式の形に寄せていくことが重要です。\n頑張ってください。応援しています。"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"青チャートをどこまでやるべきか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"結論、どちらでも構いません。\n横国は青チャだけでも十分対応可能です👍\n\nエクササイズまできっちり仕上げられれば、もう過去問に入って大丈夫です。仕上がってればほとんど解けると思います。\n\nまた、練習までで行くなら参考書挟んでもいいかもしれませんね。ですが練習まででも完璧になってれば過去問は解けるので一回過去問やってみて自分の立ち位置把握してから、参考書に入った方がいいですね。過去問の難易度がちょうどいいと感じたら過去問やりまくるのもありですよ😉横国は良問が多い印象があるのでその選択も結構価値あると思います！\n\n参考書としては、文系プラチカや上級問題精講のように横国のレベルをはるかに超えるようなものでなければ何でもいいです。本屋でやりやすそう、かつ適切な難易度の参考書見つけてやる感じでいいと思います👍\nオススメをあげるなら、ニューグローバルレジェンドをおしときますね。いい参考書なのに有名じゃないので笑\n問題を解く方針選択の理由とかが書かれていて、解説が丁寧でした！あと、問題が単元ではなく、テーマでまとまっているという点も僕は好きでした😆\n\nちなみに、僕だったらエクササイズはやりません。ずっと青チャ使うより他の参考書使って気分上げたいからです。正直、理由なんてそれだけです笑\n\n青チャはかなり優秀なので信じて突っ切るのも普通にアリな選択ですよ😎\n僕が青チャ優秀だと感じたのは浪人期でした。最初は大学に通っていて、6月から浪人を始めたのですが、6,7月は青チャやりまくりました。そしたらなんとまあ、8月の京大模試で偏差値65取れちゃったんですね😲現役時は数学苦手だった上に、3〜5月は数学1ミリも触れずに2ヶ月青チャしただけでそこまで上がっちゃいました。優秀ですね、青チャ🤩ちなみにその時は、2ヶ月以内では青チャの1a2bの例題を9割完成くらいの出来でした。練習、エクササイズは一切やっていません。\n\nあくまで僕のはexample1でしかないですけど、青チャ優秀ってのは伝わって頂けたら嬉しいです！\n\n最後に！\nエクササイズに行くか、他に行くかはどちらでもいいですが、例題を疎かにするのは絶対やめてください。ここは精度にこだわって完璧にやりきってください。それができれば、数学が足を引っ張ることは基本ありません😤\n\n何か聞きたいことあったらコメントでも個チャでも聞いてください🙆‍♂️🙆‍♂️🙆‍♂️"}],["$","div",null,{"className":"flex 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