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UniLink"}],["$","meta","3",{"name":"description","content":"やさしい理系数学の使い方を教えてください。阪大基礎工学部を志望しています。青チャートを周回し終え、やさしい理系数学に手をつけようと思っているのですが、難しくて一周目をどのようにこなしたら良いのかわかりません。阪大の傾向をよく知っている方や、やさしい理系数学を使っていた方に、その使い方について聞きたいです!"}],["$","link","4",{"rel":"icon","href":"/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","5",{"rel":"icon","href":"/icon.png?2c0dc65a59843333","type":"image/png","sizes":"180x180"}],["$","link","6",{"rel":"apple-touch-icon","href":"/apple-icon.png?2c0dc65a59843333","type":"image/png","sizes":"180x180"}],["$","meta","7",{"name":"next-size-adjust"}]] 1:null 13:I[3903,["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"],"ClientInfo"] 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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"] 1d: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"] 1b:Tc05,こんにちは。以下私の考えを述べさせていただきます。参考になるところがあれば吸収してください。 世界一わかりやすい阪大理系数学は基本的に全問題過去問なので、過去問演習として使用すると良いと思います。一問一問実際に出題された過去問なので、気合を入れて解きましょう。時間なども測ると緊張感が出て集中できると思います。 この本が一番輝くのは、解き終わった後解答解説を読む時だと思います。私は、この本の著者の考え方は数学を解く上でとても大切なものだと思っています。自分よりはるかに賢い先生が、この問題を解けときにどのような思考を辿ってその解法を選択するのか、どういった理由でそのようなアプローチをするのか、と言った解答を実際に作成するまでの流れを完璧に理解し、自分の中に落とし込んで再現できるようにすることが大切です。問題にもよりますが、方針さえしっかり立てることができれば、あとは計算するだけのような問題も多いです。したがって、問題に出会った時、どこから手をつけるのかといったところ(実験の仕方だったり、類題から推測したり)ということを学ぶことが大切だと思います。 ちなみに、阪大理系の数学の試験は、数Ⅲの割合が比較的多いです。全問題に数Ⅲが関係していた年もあるほどです。特に、積分や、回転体の体積などはよく出ると思いますから、なるべく1A2Bを早く終わらせて、数Ⅲに力を入れるのが良いかもしれません。1A2Bの勉強ということでしたら、同じ著者の世界一わかりやすい京大の理系数学という本もおすすめです。阪大のものより前に書かれた本で、構成は同じですが、問題が全問京大の問題になっています。京大はどちらかと言うと1A2Bの割合が大きいですから、役に立つかもしれません。私は両方使用しましたが、京大の問題の方が、著者が伝えたい問題へのアプローチの仕方がしっかり学べるような気がしました。時間の都合もあるでしょから、別に阪大の方だけでも十分だとは思いますが。 基本的には過去問と同じように使えば良いと思いますが、解説が非常に詳しいですので、よく読み込むと良いと思います。解けなかった問題は、自分の考え方と、著者の考え方のどこが違ったのか比較して著者の考え方を吸収するようにすれば良いと思います。とても良い本だと思いますし、このほんの著者のお陰で私もかなり数学が伸びたと思っていますし、解くのも面白くなりました。時間をかけて何度も取り組むに値する本だと思いますので、是非頑張ってください。 1c: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!1e: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。1f:T10e5,こんばんは、今年慶應理工に入学したものです。私も青チャートには非常にお世話になったので、回答させていただきます! まずは例題を(解説を何か他の紙などで必ず隠して)解いていくのが良いと思います。 そこで、、 a. 'ほとんどの問題は解説を見ずに解ける場合' まずは解けなかった例題の解説を読んで、ちゃんと理解しましょう。(頭に入ってこないor読んでもよく分からない場合は、解説をノートに写経すると良いです) そして次に、その例題の下にある練習問題を解きましょう。これは忘れない程度に時間を開けても効果的ですが、私は覚えるためにもすぐやってました。 b. '半分以上解けない場合' この場合は、解けなかった例題に対する対処は a の場合と全く一緒で良いのですが、aのように練習問題をやっているとなかなか青チャートが進みません。 また、半分以上解けないということは、その単元の理解が浅いと予想されますので、まずは例題を一通りやって単元の理解(全体像の把握)をする事が重要になってくると思います。 数学は一度理解したと思っても、自力で解けるようになるまではやや時間のかかる科目だと思います。 従って b の場合は '青チャート一周' で例題を完全に解けるようになるかと言うと、難しいでしょう。 しかし、 'とりあえず、例題を一周する' とかなり見通しが良くなると思います。(雑に早く沢山解くよりは、丁寧に基本を抑えていく方が必ず身になります) 青チャート一周目は途方も無く道のりに感じるかもしれませんが、丁寧にやれば二周目は軽くなるでしょう。 aの場合で一周した後や、その単元に自信がある場合は、章末問題などを解いて本当にその単元に抜けがないかを確認しましょう。そして、抜けているところがあれば、また例題に戻ったり、練習問題を解きましょう。抜けていなければその単元は完了です!他の問題集を解きましょう。 bの場合で一周した後は、もう一度例題を一周してみましょう!!! きっと a に進めるし、一周した後は基礎を抑え始めているはずです。 色々と言いましたが、青チャートの進め方はハッキリと言って趣味に依りますので、単元ごとに例題二周目に取り組んでも良いし、一冊ごとに二周目に取り組んでも良いし、1A・2B・3と3冊とりあえず一周するのも良いと思います。(ただ二周するまでにあまり時間を開けると、忘れてしまうので注意が必要です) 共通して大切なことは、"一度解いただけで人は解けるようにならない" という少し残念な事実を肝に銘じることです。 余談ですが、私は高2の時に青チャートを一周して、高3の夏にまた二周しました。一周するごとに数学の見通しが良くなっていったのを実感しました。 本当に数学は "基本" が大切です。 もう夏だからと焦って自分のレベルに合ってない(背伸びした難易度の)参考書を使ったりすることは、数学においては遠回りと言えます。 夏だからと言って遅くはありません。 数学は努力が実るのに数ヶ月かかると言われていますが、本番まではまだ半年あるからです。 青チャートは基本を網羅している素晴らしい参考書です、基本が不安ならば、まずは一周しましょう!!! 長々と色んなことを書きましたが、実際そんなに簡単な事ではないと思いますので、必ず '2週間で終わらす!' などと自分の中で期限を決めて取り組みましょう。 今回は青チャートをフル活用する前提で話しましたが、合わないなと思ったら自分に合う参考書に変えるのも良いと思います。 しっかりとこの夏で数学の基礎が固まると良いですね。応援しています!20:Tc88,こんにちは☺️ 大阪大学法学部現在1回生の大学生です。 数学が苦手とのことで二次試験科目として数学を使うべきか。とのことですが、 「数学はマークと記述では大きく異なる」ということだけ念頭に置いてください。俗に言う「数学が得意」と呼ばれる人々には当てはまりにくいのですが、まずセンター数学は慣れ、パターンという側面があります。計算ミスが少ない、図形を瞬時に書く、といったトレーニングを行ったり、マーク対応の参考書をこなすことで点数がぐっと伸びたりします。そのため、マークの結果は数学の力を判断するのには少し不向きであるだけ知ってください。 では、二次試験としての阪大数学について。 例外となる年がいくつかありますが、阪大数学は基本的に入試標準レベルが2題、発展レベルが1題の計3題となることが多いです。そのため、標準レベルの2題を見極め、きっちり回答することが必要になります。標準レベルの数学力を定着させることが必要となります。 自分が実際に行ったのは 「青チャート(サクシード)」→「リンク数学演習(学校教材)」→「実戦数学重要問題集(文系)」→「京大文系数学25カ年」→「センター数学過去問」→「阪大数学の過去問」という流れでした。 数学が伸びたと実感したのは、「重要問題集」と「京大文系数学25カ年」の演習を行った時です。前者は非常にクオリティの高いテキストです。数学の基本的な考え方はこれで身につくはずです。当初の志望校が京大だったので、京大文系数学の過去問を8月から行いましたが、質問者様の志望校が阪大ですので、是非とも重要問題集が終わり次第、阪大の過去問に取り組んでみてください。直前期まで過去問を残す必要は特にないと思います。だからこそ、「傾向をつかむ」「志望校の要求するレベルと自分との距離感を測る」「志望校合格に何が足りないかを知る」という目的のために早期に取り組むことはひとつの良い手段に感じます。 長くなりましたが、端的にまとめますと 1,センター数学は慣れが必要! 2,入試基礎〜標準レベルのテキストをきっちりこなす 3,過去問は早めに取り組むのもアリ! +α)先に挙げた「重要問題集」と同様のレベルの問題集をいくつかリストアップします。 「実戦重要問題集(文系)」「Z会 文系数学 入試の核心」「厳選!大学入試数学問題集文系142 (河合塾シリーズ)」などがあります。 上記の問題集や過去問でわからない問題があるとき、類題をチャート式で探し解いてみてください。そうした問題の検索能力も思考力を育てるきっかけになります。 Good luck! 来年、同じキャンパスで会えることを楽しみにしています。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の勉強方法や参考書"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"東京大学に合格したものです。早稲田商学部の数学受験に必要なレベルとしては黄チャートより青チャートに取り組んだ方が無難であると思います。理由と致しましては早稲田商学部で出る問題は黄チャートで網羅できている範囲を超えている可能性はありますが、青チャートのレベルを超える問題は出題されることはありません。また、どちらにも基礎問題はのっているため、基礎がある程度理解出来ているならなおさら青チャートを進めた方がいいと思います。基礎問題精巧や標準問題精巧は難易度が青チャートより高いため、手を出さない方がいいでしょう。それよりは青チャートを何周もして完璧にするのが良いです。\n\n青チャートの最も効率的で素早く完璧に仕上げる方法を記しておきます。是非参考にしてみてください。\n① 例題を解く\n② 解いた例題が○だった場合、練習問題に進む\n解いた例題が‪✕‬だった場合、蛍光ペンで印をつけ、練習問題は飛ばし、次の例題に進み、①に戻る\n③解いた練習問題が○だった場合、そのページにある問題は全て解けるため、もう解き直す必要が無いです。そのためページのところに印をつけ、次のページに進み、①に戻る。\n解いた練習問題が‪✕‬だった場合はその練習問題に印をつけ、次のページに進み、①に戻る。\n\nこの方法で進めると、まず1周した時に間違えた問題が明確になります。\n2周目は\n①間違えた例題を解く。この時、例題を解き直し、○だった場合そのページの練習問題を解く。\n②間違えた練習問題を解く。この時、解けたらページのところに印をつけ、次のページへ、解けなかったらそのまま次のページに進む。(🟰3周目に解くため)\n\nこのやり方で何周もし、だいたい5周目くらいに全ての問題が完璧になります。ざっと4ヶ月程で終わると思います。チャートが終わったら過去問に取り掛かりましょう。早稲田の他の学部の問題を解くのもありです。それらも間違えたらしっかりと解き直し、完璧に解けるようにしましょう。抜けている部分があったら青チャートでその分野の問題を確認し、解き直して弱点を克服していきましょう。この方法で数学の苦手分野はなくなります。\n\nざっと勉強法を記してみました。分かりずらい部分がありましたら遠慮なくコメントお願いいたします。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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 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