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1a:I[6549,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"CommentItemName"] 1b:I[3866,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"AdOnAdviceList1"] 1c:T10b2,質問者さんの現状にもよりますが、 やや1A2Bよりの同時並行が良いと思います。 (1A2Bが6~7割、3が3~4割くらい) 予習、復習のやり方についいてですが、 ①復習は例題を飛ばしても良い ②予習は塾の映像が良い と思います。 【1A2Bの復習について】 国公立医学部を目指す場合、青チャートのみでは不十分です。 さっさと青チャートは終わらせて、スタンダードや新演習など、 よりハイレベルな問題集を始めることをおすすめします。 進研模試での偏差値を見る限り、基礎的な部分は身についているので、 例題をコツコツやる必要はないでしょう。 いきなりエクササイズや章末問題など、難易度の高い問題を解いて、 解けるならそれでOK、 解けないなら重要例題だったりに戻る、 という使い方が良いのではないでしょうか。 1日1章くらい進めると良いです。 私の場合は時間的余裕があったので 例題を見る→解放を頭の中で思い浮かべる→解説を見て確認 という作業を繰り返していました。 解説がすぐ下にある青チャートだからこその勉強法ですね。 もしエクササイズ直行は不安があるというのでしたら、この方法をおすすめします。 問題を解く必要はないので、「こうしたら解ける」という道筋が浮かぶかを確認します。 実際に問題を解くよりも格段に復習スピードが上がりますし、 質問者さんの場合は基本が固まっているかと思うので この方法が合うのではないかと思います。 青チャートレベルの問題は見た瞬間に解放が思いつくくらいになれば完璧です。 青チャートが終わったらスタンダード数学演習に取り組むのが良いと思います。 ただし、これは非常に難易度の高い問題集なので、 取っ掛かりすら分からないことも多々あります。 必ず青チャートを完璧にしてから取り組んでください。 【3の予習について】 塾の映像授業があるのでしたら、 確実にそちらのほうが良いと思います。 青チャートは講義内容がかなり薄いので、 問題演習の予習としては不十分です。 (授業の予習としては良いと思いますが。) 一方で塾の映像授業は(おそらく)しっかりとした解説もあるでしょうし、 何より教えるプロがやっているので、自分で青チャートを読むよりも理解が深まると思います。 とは言っても数3で出る範囲は たいてい複素、極限、微積の3つです。 (たまに変化球が投げられたりしますが…。) この3つさえ完璧にしていれば基本は大丈夫です。 また、基本概念と基本解法さえ押さえていれば 特殊な発想の必要な問題は出題されません。 1A2Bよりも遥かに計算力がものをいいます。 出題範囲が絞られているため、 対策は以外にできます。 ただし問題演習はそれなりに必要なのでそこは注意してください。 (特に微積は重点的にやるのが良いです。) 予習で問題演習もしたいというのでしたら 青チャートか入門問題精講が良いと思います。 (本屋さんでパラパラとめくってみて、簡単すぎたら基礎問題精講にしてください) ーーー 青チャートはGWくらいに終わらせられると良いでしょう。 数3の内容は1A2Bが基礎になっていることも多いので、 まずは復習して基礎を押さえることを優先しましょう。 (微分まで進んでいるならそこまで予習を焦る必要はないです。) 夏休み明けには全範囲の学習を終え、 それなりに難しい問題集に取り組めていると良いですね。 以降の1A2Bと数3の学習比率を決めるためにも できることなら3年分くらい過去問を解いて、 どの分野から出題されているのかを見るのが良いと思います。 以上、参考になれば幸いです。1d:Te13,結論、これから進めるべき順序は以下の通りです。 ①核心の星1、2(3は得意でない限り多分しんどい) ②阪大過去問2年以上(特に頻出分野は入念に) ③本番のOP・実践とその復習 ④阪大過去問10年分くらいを2周 入試問題の核心の問題チョイスはかなりいいですし、一冊で数Ⅲまで網羅できるのでオススメですが、解答の思考の流れに違和感を持つことがあったので、注意してください。(解答通りの解法でなくて良い。数学センスのある人に質問できると良し) 星3はかなり難しい(正直解けなくても構わない)ので、まず星1、2あたりから始めることをオススメします。 難関編を解いたことはありませんが、正直必要ないと思います。 あくまで、全単元の復習&初見力向上&パターン化が目的という認識で大丈夫です。 入試問題の核心に入る時期もかなり遅めなので、実践模試の過去問は、まず必要ないと思います。 ただ、試験に使った5時間が無駄になるので、本番のOP実戦の復習はしてください。 過去問も同様ですが、復習する際は、どういう力が足りないのか、過去に学んだ知識がどう使われているのかをきちんと分析してください。 普段の勉強の復習法は、 ①自力で解く ②解答チラ見 ③もう少し自力で解く ④解答を見て、初見の段階でどう考えていれば正解できていたのか考える ⑤④の内容を抽象化してメモする ⑥解き方とそれを思い付いた理由を空で言えるようにする ⑦頻繁に自分のメモを見返す ⑧期間をおいて⑥をする こんな流れです。 メモするのは面倒ですが、復習する際 結果的に時短になるのでオススメです。(僕の場合、計算ミスを減らすためその原因と対策もメモして、何度も見返していました) 僕の分析では、阪大は以下の問題が頻出です。 ①体積の問題 ②複素数平面+α(特に回転) ③微分・積分を絡めた不等式+極限 ④確率・漸化式+極限 ⑤気持ち悪い整数問題(対策困難で捨て問になることが多い)or任意の単元から一題 特に複素数は広い概念を持ち、色々な分野との複合問題が作りやすいので、ほぼ100%出ると思っていいです。 あと、体積問題の本質は軌跡と領域で、特に一文字固定法と相性が良いので、よく勉強しておいてください。 不等式は大-小して微分したり、グラフ的に考えたりすれば、どうにかなります。(類似問題をたくさん解くべき) 阪大は出る単元がほぼ決まっていますし、細かい知識はあまり問われないので、きちんと対策すれば半分以上は取れます。 受験生は、マニアックな知識が必要だと考えがちですが、大学が求める人材や公平性を考慮すると、それを問うことにメリットがありません。(これを理解した上で解くと、思考にノイズが入りにくいです) 「その問題のみで使える知識」に意味はありませんから、「本番でも使える知識」だけを抽出して学び取るよう意識してください。(そのための抽象化です) 残り時間は少ないですが、正しい受験理論をお持ちだと思うので、自信を持って頑張ってください。1e: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!1f:Tc27,最近、共通テストの数学対策で数IIIに触れる機会が減っていて、不安に感じていると思います。でも、現時点では数IIIの学習を完全に止める必要はなく、むしろ年明けまで数IIIを含む2次対策にしっかり取り組みましょう! 1日30分程度ではなく、もっとがっつりとかけて数IIIの復習を進めても大丈夫ですよ。今の時期に数IIIを復習しておくことで、共通テスト終了後に数IIIを再開する際にもスムーズに学習を進められるので、忘れることなくしっかり学習を進められます。 実は、私も同じように進めました。年明けまでは2次試験の対策に集中し、特に数IIIも時間をかけて取り組みました。そして、年明けからはセンター試験対策に切り替え一切2次対策は行わず、センター試験が終わったら再度2次対策に戻るという流れで進めました。このように、各時期に集中すべき内容を明確に区切ることで、どちらも中途半端にならず、効率的に進めることができました。 ですので、年明けまでは数IIIを含む2次試験対策にしっかり注力し、共通テスト対策はその後に集中する形で進めていくのが一番効率的です。今の段階で不安に感じても、数IIIをしっかり復習しておけば、年明けに共通テスト対策に集中した後、共通テスト終了後に数IIIに戻っても十分間に合います。数IIIはその後に集中的に学習することができるので、今は無理に手を広げず基礎を固めていくことが大切です。 また、私立大学の過去問についてですが、第一志望が国立大学であれば、私立の過去問は「形式に慣れる」ために解く程度で十分です。具体的には、各大学の過去問を3年分程度解けば問題ありません。私立の過去問に時間をかけすぎてしまうと、国立対策が後回しになってしまうので、私立の過去問はあくまで形式に慣れるためのものとして解き、国立大学の対策に最優先で取り組むようにしましょう。それでも時間が余るようであれば、さらに遡って私立の過去問演習に取り組みましょう。 私は、第一志望である東京大学の過去問は10年分以上ときましたが、併願の慶應医学部は2年、慈恵に至っては前日に1年分解いた程度でした。このようにがっつりと東京大学対策に時間を回せたからこそ、本番でも焦ることなく高得点を収めることができたのだと思います。 共通テストの対策をすれば2次試験が、2次試験の対策をすれば共通試験が心配になりますよね。。 でも大丈夫です!しっかりと年内は2次、新年は共通テストと割り切ることで、どっちつかずになることなくどちらも良い結果となることでしょう!応援しています!!20: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":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=Uk7pAXkBTqPwDZPugac4","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数三独学予習"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",10,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"4/24 12:25"}]]}],["$","div",null,{"className":"coach-mark 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と範囲がそれぞれ分かれています。\n\n\n複素数平面は単独の範囲なので教科書の内容を入れたら次の範囲に進んでもいいと思いますし、傍用問題集で固めるのもいいと思います。複素数平面に関しては現役生はどうしても後の微積に時間を取られ、演習不足になりがちなので、周りと差をつける意味でも後者をおすすめします。\n(東北大はけっこうでてると思う)\n\n\n2次曲線に関しては微分法などでも若干登場はあるものの微積に時間を割くべきなので教科書ので理解で十分だと思います。入試でもこれ単独での出題はけっこう少ないです。\nこればっかりは時間をどれだけ割けるかによります。\n\n\n極限 微分法 積分法に関しては入試でも頻出分野なので、理解を疎かにしないためにも、教科書→ 傍用問題集の流れにしてください。この分野は演習量がものを言います。特に微積は大事!\n\n\n頑張ってください、応援してます。"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_FF8D6D5909434E7597F84CF694E1DAE5.jpg?alt=media&token=cd793328-63ba-418e-ba0a-94c8c1417a93","adviserName":"ゴーヤのツナ炒め","adviserDepartment":"北海道大学水産学部","adviceId":"Uk7pAXkBTqPwDZPugac4","numberOfFan":0,"clipsAvg":6,"adviceRateAvg":4.9,"profile":"北海道大学の学部入試で首席合格でした。\n数学と物理が得意でした。"}]}],["$","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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mb-1","children":"こんにちは。勉強お疲れ様です。\n「計算練習」をひたすらにやれ!という分野であれば、間違いなく微分積分です。ですが、私が次に推したいのは実は「複素平面」の練習なのです…。\n\n微分積分について\n理系の受験数学で、出ないことはない!と言い張れるくらいにはめっちゃ出ます。ほんとうに。\n必ず出る分野ならば、そこは「早く解く」ことができて、さらに「確実に正解する」ことができることが大事ですよね。「早く解く」、「確実に正解する」ともなれば、それに必要なのは計算練習です。微分、積分の練習については以下に記す通りにやるのがオススメです。\n\n微分の練習\n①時間制限を設けて、スラスラ微分する。\n(現時点の自分の全速力でかかった時間×0.8で設定してみてください。間に合うまで頑張りましょう。)\n②微分後(導関数)の形を覚えてしまう。\n(積分でめっちゃ役に立つんです。「微分形の接触(f(g)g'の形)」の際に、「これ、gの微分形じゃん!」ってすぐに見抜けるようになるのです。)\n\n積分の練習\n☆手を動かす前に頭で考える。 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学Ⅲは先か後か"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは!東工大一年のたまちゃんです。\n数学Ⅲは早めにやった方が良いと思います。現役生は数学Ⅲの演習量が浪人生に比べて少ないため、浪人生とそこで差がついてしまいます。割と1A2Bでは差がつかなかったりします。\nわからない所は飛ばしても良いと思います。授業でよく聞きましょう。また、予習の段階ではコンパス2以下でも良いかもしれませんが、授業で履修した所は基本全部した方が良いと思います。\n全部する事で、大体の典型問題に触れることが出来ます。\nまた、チャートは量が多いので、例題だけでOKです。練習問題は例題とほぼ同レベルなので解かなくて良いです。\nまた、はなおさんの動画をみて息抜きしながら頑張ってください!笑\nMake it possible with チャート \n"}],["$","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 5.79 8 8s1.79 4 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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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