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19:Tecd,4月から高校3年生になるということだと思いますが、今すぐ数Ⅲに入るべきです。その理由はただ1つです。それは数Ⅲは他の科目と比べてもはるかに習得するためにかかる負担が大きいことです。理系に進む生徒の中には夏以降の学習の過半数は数Ⅲの勉強だったというものも少なくありません。理系大学進学の難易度を著しく引き上げている原因や理系が文系に比べると難しいと言われる原因は数Ⅲにあるとも考えられています。 数Ⅲは関数(分数関数や無理関数、逆関数や合成関数)、極限、微分法の基本・応用、積分法の基本・応用の6分野で構成されています。6分野の中で比較的難易度の低い関数や極限ですら、数ⅡBCの1つの分野以上の難しさです。しかも極限は数Ⅱ範囲の対数関数や数B範囲のΣ計算の基本ができていなければ習得することはできません。微分法や積分法に関しては名前からもわかる通り数Ⅱの微分法と積分法の発展です。そのうえこれはあくまでも基本の話です。応用に関してはさらに難易度が高く、問題作成するにあたり比較的応用問題・発展問題を作りやすい分野でもあります。ただでさえ難しい分野ですからその応用問題や発展問題の難易度の高さはかなりのものになります。 かなり厳しいことを言うようですが、千葉大学レベルの国公立大学を志望している高校生は高校2年生の終わりまでに数Ⅲの範囲を1周は終えていることがほとんどです。今更言われても…と思われるかと思いますが、受験数学はなるべく早く1通りの学習範囲を終えることが鉄則です。確かに、数Ⅲに関しては数ⅡBCがある程度完成されていないと習得することが困難な科目ではあります。しかし、共通テストでの完成度を高めることよりも先に数Ⅲを1通り学習することの方が優先度が高いと言えます。 ただ質問者さんはかなり数ⅡBCの完成度が高いと見受けられます。今後夏までの3か月半程度で数Ⅲを確実に完成させてください。そのためには今後の数学学習の大半を数Ⅲにあてることになります。その間も最低限これまでの数学学習で得た技能を低下させないように週に1,2度復習し、1か月で全範囲を軽く1周するのが理想です。 また、数Ⅲの学習方法についてですが、入門問題精巧も青チャートもというととてもやりきれないと思います。基礎から応用までやることのできる問題集を何か1冊に絞って学習することをおすすめします。なお学校で配布されている教科書傍用問題集があればそれをある程度完璧にすることが望ましいです。ちなみにここでいう完璧とは7,8割の完成を3周かけて目指すことです。 しかも質問者さんの得意科目が数学で苦手科目が漢文となるとかなり大変だと思います。質問者さんの英語や化学、物理のレベルがわからないので何とも言えないですが、高校3年生の1年間は平日には1日5時間、休日は1日15時間程度の学習が必要になると思いますし、しかもその学習もかなり効率の良いものでなければなりません。大変なことも多いと思いますが、学習方法や悩み事についてご相談があればいつでもお伺いいたします。いえさんの受験勉強を心から応援しています。1b:Tcf2,こんにちは。東京科学大(旧東工大)工学院のプロトンです。勉強お疲れ様です。10月の今から11月中旬までの約1ヶ月の間にやるべき数学の参考書についてアドバイスしていきたいと思います。よろしくお願いします! まず本来であれば10月に過去問演習を始めておきたいところですが、 世界一わかりやすい阪大理系数学講座(以下せかはんと略します)、これを使っていきましょう。勉強時間は、学校がある日は最低5時間、休日は10時間確保してください。 黄チャートを持っているのであれば、数3全範囲のエクササイズを解きます。分からなかったら印をつけて後で見返せるようにしてください。全力でできるだけ早く終わらせてください。 1周終わったら、2周目は、せかはんと同時並行で進めていきます。阪大理系数学の少し昔の問題を扱い、問題への向き合い方を効率よく学びます。数学にはいろいろな解法があり、どの解法を選ぶかは結構点数に関わってきます。計算が煩雑にならないようにするにはどうしたらよいか、など解法を見極める力を身につけましょう。 黄チャートの2周目は、1周目に分からなかった問題を解きます。ここまでを11月の第2週目くらいまでに終わらせられるように頑張りましょう。時間が足りない!と思ったかもしれませんが、みんなも同じです。みんなこの時期は焦っているんです。大丈夫、自信を持って勉強しましょう。 11月中旬から共通テスト対策に移るということですが、黄チャート・せかはんに触れる日を週に少なくとも3日は取りましょう。どうしても共通テスト対策に集中していると、共テ後に二次試験対策をさあ始めようとしたときになんも覚えていないという、所謂共通テストぼけが起きる方が一定数います。そうならないために少しずつでいいので、解き直しは忘れないようにしましょう。 共通テストが終わったらその次の日からが勝負の1ヶ月です。共テ後は過去問メインです。解法が分からなかったら、せかはん、チャートに戻って復習しましょう この1ヶ月で過去問演習に集中できるように、準備をしておきます。 《阪大理系数学 傾向》 2024年:1⃣極限 2⃣複素数平面 3⃣空間図形 4⃣積分(回転体) 5⃣整数問題 2023年:1⃣極限 2⃣平面ベクトル 3⃣図形と方程式(図示) 4⃣空間ベクトル 5⃣確率と漸化式 2022年:1⃣複素数平面 2⃣三角関数 3⃣図形と方程式 4⃣総合問題(微分、極限) 5⃣積分(媒介変数) 2021年度以前は、微分積分や確率、極限が頻出分野となっています。 参考にしてください。 以上、数Ⅲの今からの進め方、参考書、共テ後の勉強についてアドバイスさせていただきました。こんなに長い文章を読んでくださりありがとうございます。 頑張ってください!1c: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!2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=8AV09mkBTqPwDZPuYRNS","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"網羅系について"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",2,") コメント(",0,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"4/7 15:20"}]]}],["$","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。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":null,"clientUserName":"やす","infoString":"高3 佐賀県 九州大学工学部(60)志望","adviceId":"8AV09mkBTqPwDZPuYRNS"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"新高3の九大工学部志望です。4月に入ってから網羅系の1Aを1日30問で解いていってるんですが、周り(勉強アプリ)の人は2bや3の網羅系を解いていっているんで、(自分が網羅系を始めたのが遅いだけですが)1Aをやるくらいなら他の科目に時間を回したり2bに取り掛かるべきかなとか思います。\n意見を聞かせてください。(厳しめでもいいです。舐めてるのかもなと思うので)"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}],null]}],["$","h1",null,{"className":"text-xl font-semibold 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mb-1","children":"こんばんは。質問からは少し増えますが、理科と英語も加えて説明したいと思います。\n\n10月〜11月\n国語・授業でセンターの過去問をやっているならそれで十分。ただ、古文の単語、漢文の文法や語彙は毎週一回ぐらいは復習するのが良い。もし、授業でやっていなければ、週一で過去問を解く。とにかく、古文漢文で落とさないように気をつけて練習する。\n\n数学・週一もしくは二でⅠAⅡB共に過去問を解く。どっちかに偏らず、均等に同じペースで消化していくのが良い。データなどの数Ⅲで触れないところは、見捨てずに、過去問でできなければしっかり復習しておく。それ以外は、わからなかったとき、適時チャートを見ると良い。\n\n理科・3教科通じて教科書を一読することが非常に重要。二次試験では問われない語彙や実験がセンター試験ではよく出るため。特に、化学.生物はしっかり読み込んでおくことが大切だし、対策としても大変オススメ。化学では計算ミスをしないよう普段から計算を自力で行なっておくこと。\n\n社会・もう復習を始めておかないとまずい。12月で間に合うと思ったら大間違いで、今からしっかり序盤の内容から終盤の内容まで偏りなく復習しておく。過去問にはこの時期には、力を入れる必要はないと思う、とにかく今までの総復習に力を入れること。\n\n英語・センター過去問を週一、二で解く。問題の傾向をしっかり把握できるようになること。単語帳は続けてやっておくべきだが、カタカナとして日本語になっている英単語は特に注意して、発音を見ておくのをオススメする。\n\n12月\nセンター試験対策しかしてはいけない。二次試験の勉強は完全においておく。とにかくセンター試験を毎日解くぐらいの気持ちで全ての力を捧げて頑張る。\n\n長くなりましたが、このような対策、勉強方針を僕は推奨します。残りの時間、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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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"時間がない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"共通試験まで1ヶ月ほどなので、やるべきことを絞りましょう。\n\n①共通テスト前は無理に赤本をやらない方がいいと思います。名古屋大学は国立なので、共通テストから1ヶ月ほど開くはずなのでそのときにやりましょう。2次で点が取りにくいなら、逃げ切れるように共通テストの対策をすべきです!\n\n②問題集をこの直前期に変えるのはあまり賛成しませんが、おそらく基礎問題精構のほうが網羅的なものになっているので良い気がします。全部解こうとせず、基礎ができていないなら例題を重視してやりましょう。\n\n③名大の数学で4-6割がどれくらいかわからないのですが、合格者はどれくらい取れているものなのでしょうか?(調べたらめっちゃ難しいらしいと載っていたので、6割くらいが普通なのかなと)\n赤本などには例年の合格平均や最低点が載っています。そこから他教科も合わせて自分が数学でどれくらい取らなければいけないのか、他の教科で補うことは可能なのか計画立ててみてください。\n入試は相対評価で合否が決まるので、絶対的な「4-6割」の印象につられないほうが精神衛生的にもいいと思います!!\n\n\n③はすでにやっている状態だったらごめんなさい🙇‍♀️\n\n\n焦る時期ですが現役は直前期に伸びると言われているので、手を広げすぎず、今やるべきことに注目して、落ち着いて勉強してください!\n応援してます💪\n\n少しでも参考になれば嬉しいです🙇‍♀️"}],["$","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":[["$","div",null,{"className":"mb-1","children":"時間がない人の数3参考書ルート"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは。東工大工学院のプロトンです。短期間で数3を完成させたいということで、具体的な勉強法やおすすめの参考書についてお伝えできればと思います。\n\nまず、名古屋大数学は1対1対応をこなせば過去問に取りかかってもいいです。それくらい1対1対応は難易度が高い参考書となっています。近年の名古屋大の難化があるとはいえ、他の参考書に手を出すのは時期的にも無理があります。\n\n合格る計算と基礎問を終わらせている(ここで言う「終わらせている」とはただ単に量をこなすだけでなく問題1問ごとに本質を理解しているかどうかです)のであれば、1対1対応を進めていきましょう。直近5年の過去問を見ても数3は毎年出題されているので、集中して取り組んでください。\n\n1対1対応を進めていって、まだ難しいなと感じる場合は、基礎問題精講に戻りましょう。\n\n1対1対応は、汎用性の高い考え方を学ぶことができますし、何よりページ数は少なめなので、短期間で周回できると思います。\n\n名古屋大は旧帝大ですから、東北大や九州大の数学とも難易度が近いです。過去問を取り組み始める前に、他の大学の数学の問題も少し見てみるといいと思います。\n\nまとめると、おすすめのプランは\n\n1対1対応複素数・微積ともに進める\n→スムーズに解法が浮かぶまで周回\n➥解法が思い浮かばないなら基礎問へ\n\n→過去問演習(名古屋大やその他の同レベルの大学)\n\nです。\n\n他の大学の過去問を取り組みたい時は東進の過去問データベースに登録するのがおすすめです。\n\n以上になります。まだまだ時間はあるので、計画的に勉強して合格を掴みとりましょう!応援しています!"}],["$","div",null,{"className":"flex 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