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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！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。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=mz4mndryZDpgrurpipd0","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"理系数学の核心の前にやる参考書"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",1,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"9/29 13:30"}]]}],["$","div",null,{"className":"coach-mark 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"黄チャートⅲCだと物足りない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！参考書の種類ってとても多いので参考書を選びって難しいですよね。\n\n黄色チャートが物足りないということなので、数ⅢCの基礎は完璧といっても差し支えないと思います！この時期にしっかりと基礎を固めていけているのはすばらしいとおもいます！\n\nここから少し発展的な内容に入っていくのがいいかと思うので、ぼくがおすすめの参考書の中から2つほど候補を挙げていきたいと思います。\n\n⚪︎大学への数学 1対1対応の演習\n個人的には一番メジャーな少し発展的な内容の参考書だと思います。とても解説が丁寧でかつ受験数学の要点を抑えた問題が選ばれているので、数学力を効率的に伸ばしていけると思います。ただ、解説が肌に合わない人もいるのでそこはよく確認してください。\n\n⚪︎標準問題精講\n僕は受験期この参考書を使っていました。こちらも解説がとても丁寧でわかりやすく、さらに特有の部分として「精講」というものがあります。解答のヒントが書かれており、どうしてその方針で解くのかを理解することができ、数学における思考の仕方を身につけることができます。数ⅢCにおいては上記の1対1より若干難しいのでそこは注意点です。\n\nこの2つのどちらかを選べば基本的には問題ないかなと思います。どちらか解説が肌に合う方を選んでいくと良いかなと思います。\n\nこの2つの参考書を完璧にすれば、ほとんどの問題は解けると思うので、終わり次第過去問演習に行き、足りない分野の演習を積んでいけば合格が狙っていけると思います。一度今の時点で志望校との距離を確かめるために過去問を1年分解いてみることもおすすめです。\n\n最後になりますが、今から夏休みに入り受験の天王山にさしかかっていきますが、ここでの努力が合格に直結していくと思うので、受験勉強頑張ってください！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"効率の良い数学の基礎力の付け方"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"基礎力養成には、あなたが今使っているもので大丈夫でしょう。また、教科書も大切にしてくださいね。\n基礎力がついたあと、取り組むのはセンター対策としては各予備校から出ている予想問題集が良いと思います。オススメは河合の黒本です。また、やや難易度が高い回もありますが、駿台の青本もおすすめです。Z会の緑本は余裕があればやる程度でいいでしょう。難しすぎます。そして、最後の仕上げとしセンター本試験の過去問に取り組んで下さい。\n二次試験で数学を使う予定であれば、黄色チャートを完璧にしてもいいですし、大学への数学という薄い問題集(1a2bすべて別売りですが)をやるのも良いと思います。レベル的にはちょうどいいと思います。\n頑張ってください。"}],["$","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 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 4 4 4-1.79 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"新高3の今からの勉強は何をすれば良いか？"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"ちょっとだけ調べましたが、静岡大学はセンター比率がかなり高い学校ですね。\n学部などは分かりませんが、一応英数に絞って理想のプランを書いてみます(あくまで一例)\n\n【数学】\n①チャート(4月~6月)\nセンターと被っている分野だけを優先的に。\n②マーク式式問題集(河合塾)(7月~8月)\nこれを時間制限なしで満点とれるように。\nセンターは基礎が詰まったいい問題が多い。\n③実践問題集(駿台) (9月~10月)\n時間を意識して解く。\n④センター試験過去問 (11月~12月)\n\n【英語】\n手持ちの英単語帳は受験本番までずっと継続\n①速読英単語(必修編)(4月~7月)\n4月 CDなしで一周(単語も確認)\n5月 CDありで音読(シャドーウィング)\n6月 前月と同様(2周目)\n7月 CDと同じスピードで読めて、単語もバッチリならOK\n②レベル別長文問題集Lv5(8月~9月)\n解く→解説読む→CDで音読\n③大矢英作文講義の実況中継(5月~6月)\n2周\n④英作文ハイパートレーニング自由英作編(7月~8月)\n⑤BEST400(9月)\nセンター文法対策\n⑤静岡大学の過去問(10月~)\n自由英作文は誰かに添削してもらう\n\nざっとこんな感じです。\n見てもらえば分かりますが、同時並行で行います。\n気をつけるべきことは、色んな問題集に手をつけず、必要最低限の量で、最大限の効果を発揮することです。\n\n課外授業については、センターを解くためのノウハウを教えてくれる感じあれば是非受けるべきだと思います。ただ、受けるなら全力で取り組み復習もキチンとする。\n\nセンターの問題は基礎力をつけるのに適しているので、別にチャートから入らなくても、復習をしっかりとするのであれば、チャートを辞書として使い、センター形式の問題集から入っても問題はないと考えています。"}],["$","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 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 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mr-2","children":25}],["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0z","children":[]}],["$","path","1",{"d":"M16.5 3c-1.74 0-3.41.81-4.5 2.09C10.91 3.81 9.24 3 7.5 3 4.42 3 2 5.42 2 8.5c0 3.78 3.4 6.86 8.55 11.54L12 21.35l1.45-1.32C18.6 15.36 22 12.28 22 8.5 22 5.42 19.58 3 16.5 3zm-4.4 15.55-.1.1-.1-.1C7.14 14.24 4 11.39 4 8.5 4 6.5 5.5 5 7.5 5c1.54 0 3.04.99 3.57 2.36h1.87C13.46 5.99 14.96 5 16.5 5c2 0 3.5 1.5 3.5 3.5 0 2.89-3.14 5.74-7.9 10.05z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs mr-2","children":0}]]}],["$","div",null,{"className":"text-xs rounded-lg border border-text px-4","children":"不安"}]]}]]}],["$","div",null,{"className":"ml-3","children":["$","div",null,{"className":"bg-caption w-20 h-20 rounded-sm 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"チャートだけで受験"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは\n回答させてもらいます。\n\nMARCH志望ということで、MARCHを基準にお話させてもらいます\n結論からいうとMARCHはチャートで十分だと思いますよ。チャートの基本例題を完璧にしたら、重要例題に移れば良いかと思います。\n\nここまでやったのなら、あとはMARCH数学は過去問演習にかぎりますよ\n\nMARCHの数学は4.5年ずつくらいやれば、被ってるとこもありますし、類題とか頻出問題もたくさん触れられますよ\n\n数学に関しては9月までにチャートの例題だけを8割くらいマスターしたら、10月からはどんどん過去問を解いてくださいね\n\nただ、これは数学だけの話なので、英語と理科に足を引っ張っているものがあるのなら、11月からとかの調整を行なってください\n\nまたチャートは月1程度で眺める感じでいいので復習してください、すぐに忘れてしまうので\n\n\n勉強頑張ってください！\n\nそして、結構典型的な問題だが、良問というのがMARCHでは多いので良い演習教材になると思いますよ"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[]}],["$","path","1",{"d":"M12 6c1.1 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"やさ理の次"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！僕も高校時代難易度の高い問題集周回しまくってたクチです笑。そんな僕がお節介ながらアドバイスさせてもらいます。\n僕はやさ理が終わったから次の参考書って考えじゃないです。なぜなら、あなたが最終的に求めるのってやさ理が解けることじゃなくて受験レベルの難問を解けるのようになることじゃないですか。\nなので今やさ理を解き終わり、やさ理レベルの問題が解けるようになってる=過去問である程度の問題は初見で解ける、っていう状態で難関大学でたまに出る超難問クラスを解けるようになりたい、とかならハイレベル理系数学とかもっと上の問題集やれば良いと思います。\nがしかし、もしやさ理を一周解いただけの状態で、やさ理で出てきた問題は解ける、もしくはやさ理で出た問題をなんとなく覚えてる、程度ならば、解き方の本質が掴めるまでもう一周やさ理をやるべきだと思うし、なんなら問題集のレベル下げてもいいと思います。\n難易度の高い参考書をやることはいいことですが、発展的な内容をやってる自分に満足しては意味がないので、ご自分の目的と現時点での実力に合わせて問題集を選ぶのが一番良いと思います。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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 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