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1c:Tde5,ご相談ありがとうございます

ご相談の内容から、コップさんに2つお伝えしたいことがあったので、ぜひ読んでいただけると嬉しいです。どうしても自分の利用した教科の関係で少し数学に寄った内容になってしまっている自覚がありますが、他の教科でも同じことは言えると思うため、ご容赦ください。

1つ目は、私が現役の時、担任の先生がおっしゃってくださったことで、"頑張って勉強した直後、成績が振るわないことはよくある"という話です。沢山問題を解いたり、暗記をしたり、解法を頭に入れたりした後というのは、知識量は増大しているものの、その使い方がまだ少し怪しい状態だと思います。そのためどれを使うのが最善かわからなくなってしまうことがあり、逆に成績が下がってしまう現象だって起こるというものでした。

確かに新しい分野の学習を始めたときは、とりあえず大枠に沿って慣れていくという作業(英語なら文法、数学・物理などなら公式に当てはめていく作業)をして初めて自分で自由にその知識を使いこなせるようになります。そのため、すでに学んだ分野であっても、新たに得た各知識をどこで使うかという感覚を身につけるまでは、少し回答に手こずってしまう、あるいは少しズレた回答をしてしまうことは致し方ないことです。今大切なことは、獲得した知識を使いこなせるようになるまでもどかしい気持ちに耐え、演習を積むことです。そうすれば夏休みの努力の結果というのは必ずあなたの一部となって、成績の伸びに繋がるでしょう。

2つ目は、私自身の経験の話です。私は数学をいかに伸ばすかが受験において重要だったため、高3の夏休みの6・7割の時間は数学に注ぎ込んでいました。流石にここまでやれば実力は伸びているだろうと2学期の最初にあった学校の試験に臨んだところ、数学の点数は過去最低、逆にあまり時間をかけていなかった教科は現状維持、なんなら点数アップの勢いで、かなりキツい思いをしました。ただそこで数学の先生が喝を入れてくださったため、めげずにねちねちと学習を続けたところ、その後徐々に成績は上がっていきました。ここでポイントとなったと思うのは、"やったから伸びる"ではなく、"伸びるまでやってやる"という意識になれたことだと思います。そうすることで精神的に折れずに続けられました。

長くなりましたが、私が伝えたいのは"めげずに続けていれば絶対に伸びる"ということです。急に励ましの文句の話になってしまいますが、もちろん励ますためにあります。しかし、真実でもない飾り文句が、誰もが聞いたことのあるような励まし文句になるでしょうか。それは、めげずに頑張り続けた受験生を見てきた先生方(それも全国の、かつ何十年の歴史の中の数えきれない人数)が確信を持って信じていることだと思います。ぜひ自分の努力に自信を持って、めげずにしぶとく努力を継続させていきましょう。応援しています！1d:Tf93,その気持ちは非常によくわかります...
特に京大数学は小問も少ないので一つわからなかったらかなり気持ち的に焦りますよね...
ただ月並で申し訳ないですが，その対策は本当にたくさんの問題を解いて底力を上げるしかないと思います．
一般的に冠模試と呼ばれるような各予備校が実施している模試は基本的に本番より若干難易度が高いので模試の数学ができなくてもさほど卑下しないで大丈夫だと思います．
自分は京大の過去問を解いた後，各予備校が過去に行った京大模試などの過去問を解いていましたが，それに慣れれば京大数学は若干解ける問題が多い印象でした．
意識することとしては本番を想定してちゃんと時間を測り各年度の問題を6問セットとして解くのがやはり良いのかなと思います．(自分は過去問に関しては25カ年の難易度順に解いていきましたが，模試の過去問は時間を測ってやっていました)

数学で解けない問題があったとき，「ここさえわかればあとはできたのにな！」というポイントとなるような箇所が大体1問につき1つか2つくらいあると思います．
たくさん問題を解いていって，解いたすべての問題を覚えることは到底できないので，自分はそういったポイントのみをノートにまとめていって覚えていました．
こういう問題のときはこういうパターンの解法があるんだなというそのポイントを確実に覚えておけば問題を解くときの戦う武器も増えて不安も減りますし，自分の知っている解法パターンになければ解かないというような問題の取捨選択にもつながると思います．
特に本番とかは何も考えずに挑んでわからない問題にでくわすとめちゃくちゃ焦るのですが，こういうふうに考えるべきパターンを決めておいてそれを順番にためしていくだけでかなり冷静に問題に対応もできると思います．
例えば整数問題とかでも，この方法やって無理ならこの方法をためす，それでも無理ならこの方法，最終手段は小さい値で例を書いてみて規則性をみつける！というふうに決めておくだけだいぶ心に余裕ができて良いと思います．
整数問題でわからなくなって実験して規則性をみつけるとかは割と当たり前ですが，本番テンパったりするといきなりそういうことができなくなったりするのでちゃんとそういう問題に挑む準備のようなことが大事だと思います．
そしてこういうパターンというのが個人的にはそこまで多いわけではないと感じていて，たくさん問題を解いてそのパターンをある程度抽象化すれば大体の問題はとけるようになるし，解けない問題はみんな解けないくらいの感じになる気がしています．こういうパターンで覚えるやり方は一般的にあまりよくないと言われますが，自分は頭が良くなかったのでこうしてましたし合う合わないはあるとおもうので，参考までに！

余談ですが，A判定というのは合格率80%以上ですが，本当によほどのことがない限り落ちないということだと思っています．
自分も最後の模試はA判定で本番に挑み，かなりやらかしたのにもかかわらず結構余裕の点数で受かっていました．
質問者様も一度A判定をとっているということで，このまま普通にやればまあ受かるだろうくらいの気持ちで焦らずに一個一個丁寧に問題解いていったら良いと思います！
頑張ってください！
1e:Tbd3,質問者様は京大志望だということなので、その前提でお話します。

まず、大まかな目安を京大理系数学の問題の得点率でお話すると、、、
＊青チャート例題レベル(←4割)
＊一対一(←6割)合格ライン
＊やさしい理系数学(←8割)医学部合格ライン

数学力を大きく2つに分けて考えましょう。
①理論(セオリー)を適切に用いる力
②論理(ロジック)を適切に構築する力


－－－－－－－－－－－

【①について】

こう来たらこう返すというものをしっかり覚えて用いる力です。
3×6=?
と聞かれたらすぐに18と返せると思いますが、こういったことを着実に増やすことが大切です。

例えば以下の問題を考えてみてください。
「0≦θ≦π/2とする。
y=3sin^2θ 2sinθcosθ cos^2θ の最大値・最小値を求めよ。」

この問題をどうやって解くか、瞬間的にわかるでしょうか？
理論(セオリー)をおさえることが出来ている人は、実践においてこの問題をいちいち論理的(ロジカル)には考えません。
(もちろん初めに理解する際には論理的に理解しますが、問題を解く際には論理的には考えません。)

これを鍛えるのに最適なのは青チャートの例題です。
青チャートの例題は解法がすぐにわかるレベルにまで落とし込むのが基準です。
青チャートの演習問題は、①の完成度を確認するのに用いましょう。


－－－－－－－－－－－－

【②について】

数学は理論(セオリー)同士を繋ぎ合わせて論理(ロジック)を構築する必要があります。
京大はもちろん、他の難関大学でも求められる力です。

これを鍛えるのに向いているのが
＊一対一(←論理的な部分の解説が丁寧。)
＊やさしい理系数学(←別解が多く紹介されている。)

苦手な人(一通り学習を終えて京大の問題が0〜2題しか解けない人)は模試の復習と①の練習に優先的に時間を費やすことをオススメします。

僕は苦手な人だったので、模試の復習と青チャートと『世界一わかりやすい 京大の理系数学』を用いてやっていました。


－－－－－－－－－－－－

質問者様は高2なので、IA・IIBの①の力を鍛えることを進めて、IIIの勉強に突入するまでに①が十分に鍛えられたと判断したら、②を鍛えるべく自分に合ったペースで学習すれば良いと思います。
そして①でつまづいている箇所を発見した場合、すぐに①の穴埋めにつとめましょう。

質問者様の書いている順番は良いと思います。
ですが、京大の過去問には高3の春に1年分だけ触れてみることをオススメします。
演習するのは高3の秋以降で大丈夫です。1f:Tc74,こんにちは！
京大生ではありませんが、僕も京大の問題をかなり解いたことがあり、また友人がほぼ同様の悩みを抱えていて解消していたので参考にして回答させてもらいます！(その友人は今年現役合格しています😊)

京大の数学は基本問題とかなり乖離があるため、どこから手を付ければいいのかわからないのだと思います。数学の伸ばし方というのは色々あり、まずは基本問題を抑える。それができたら、次は思考力をつける。そしてこれらに計算力が加わることで伸ばすことができる、という3つのベクトルで成り立っています。

つまり、質問者さんは思考力をひたすらつける必要があるのだと思います。京大数学は思考力をかなり必要とするのでなおさらです。

そこで友人がオススメしており使っていたのが、「世界一わかりやすい京大理系数学」という黄色い参考書です。もしあまりにも過去問を使いたくない、ということであれば、各問題に年度が書いてあるので、直近のものは飛ばすといいです。しかし、実戦的な演習は京大であれば冠模試の過去問が豊富にあるので、直近のものもやって構わないと思います。

おそらく今まで使っていた参考書は、基本問題の解説に重点が置かれており、勉強の仕方もどちらかというと「覚える」方が多かったのではないでしょうか。(青チャートや基礎問題精講、プラチカなど) しかし、この参考書は京大の問題を解く上で「どのようにアプローチすればいいのか」「どこに着目していけばいいのか」をメインに解説されています。つまり、いきなり解答が書かれるのではなく、思考プロセスに重きが置かれているのです。また様々な問題に役立つ思考の仕方は四角で囲まれており、復習しやすいです。

この問題集を解く時は、まず自分でわかるところまで限界まで考えて解いてください。その時の思考の仕方をできるだけメモしておくといいです。そしてわからなければ、思考プロセスのところを読んでいきましょう。そして、途中で分かったらそこからまた自分で解いていくのがいいです。これを繰り返すと各分野での思考力がみるみるついていきます！

また、もしこの参考書をやったことがあるだとか、もっとこの思考プロセスを極めたいとのことであれば、この参考書の阪大版があるので、使ってみるのもいいかもしれません。

長くなりましたが、このような感じです。友人も今の時期は1~2完だったようですが、最終的に4完して数学は6割5分で合格しました。基本問題はできるとのことですので、長い時間思考して思考力を上げれば急激にできるようになると思います！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":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=hRYlha59ltVANf8RoNv8","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数学の相談です"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",0,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"4/19 0:56"}]]}],["$","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。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":null,"clientUserName":"さかな","infoString":"高3 愛知県 東京大学文学部(68)志望","adviceId":"hRYlha59ltVANf8RoNv8"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"今、文系の数学の赤色→1対1→スタエンと言う流れでやっているのですが、実力がついてきているか不安です。\nスタエンの問題なら6割か7割くらい正解できるもしくは答えをみた時に瞬時に理解できるんですが、このまま続けてもいいでしょうか。"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}],null]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"回答"}],["$","div",null,{"className":"mb-4","children":["$","$L15",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_UcfSCRRNF4Ywy99Q0oYjSqaQ7zV2.jpg?alt=media&token=4dcaebb4-d1af-4941-9608-dc4fd1ff93a3","adviserName":"tani2206","adviserDepartment":"大阪大学工学部","adviceId":"hRYlha59ltVANf8RoNv8"}]}],["$","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 whitespace-pre-wrap mb-4","children":[["$","div","advice-part-0",{"children":[null,"勉強お疲れ様です！\n\n数学の実力はかなりついていると思います！このまま続けていっても問題ないです。\n\n実力確認で大学の過去問を1年分といてみてもいいと思います。もし解けるようであれば問題なし、難しく感じたらもう少し応用力をつける演習をする感じで勉強していきましょう。\n\n受験勉強は辛いこともあるかもしれませんが、合格できるように最善を尽くしてください！\n\n応援しています"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_UcfSCRRNF4Ywy99Q0oYjSqaQ7zV2.jpg?alt=media&token=4dcaebb4-d1af-4941-9608-dc4fd1ff93a3","adviserName":"tani2206","adviserDepartment":"大阪大学工学部","adviceId":"hRYlha59ltVANf8RoNv8","numberOfFan":1,"clipsAvg":2.6666666666666665,"adviceRateAvg":5.5,"profile":"大阪大学工学部現役合格"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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23:28"}]]}],["$","div",null,{"className":"text-xs whitespace-pre-wrap","children":"ありがとうございます！"}]]}]]}]]}]}],["$","h1",null,{"className":"text-xl font-semibold","children":"よく一緒に読まれている人気の回答"}],["$","div",null,{"className":"mb-8","children":["$","div",null,{"className":"divide-y","children":[["$","div",null,{"children":["$","$L7",null,{"href":"/advice/PKI8IqfxmJJog9J2","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"文系数学の勉強法について"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"慶應経済のものです。\n自分も数学受験ですのでお答えさせていただきますね。\n\nさていきなりですが、問題を解くときどのように解いていますか？もし、解く→答えを見る→採点する。これだけで終わっているなら伸びるわけがありません。『高校数学は暗記だ』などと言ってる人をたまに見かけますが、基本的に数学は理論です。解くだけではなく理解して初めて身につく力となる学問です。ですから解いて答えを見て採点した後に、じっくりと解説を読んでください。そしてじっくりと読んだ後、解説を見ずにもう一度問題を解いて、解説の解き方を再現できるようにしてください。この一手間を加えるだけでかなり理解度が変わってきます。\n\nそんなのもうやってる！って場合は、焦らないでください。もしこのやり方がきちんと出来ているならば身につかないはずがありません。それはただ問題の練習量がちょっと足りないだけです。でも今の時期からやれば必ず間に合います。だからこそ焦らないでください。精神的な話になってしまいますが、自分はできる、と思い続けることはかなり重要です。もしすぐに点が伸びなくて悩んでしまっても、『きちんとしたやり方でやってるから大丈夫。もう少し頑張れば必ず点は伸びる』と自分を信じてください。焦りや不安は自己嫌悪につながり大変よろしくないです。是非自分を信じてあげてください。\n\n最後に具体的なことになりますが、夏休みには一度自分の志望校の過去問を見ておくといいと思います。自分と志望校の距離が掴めますし、練習とは違った生の問題、本当の試験としての問題を見ておくことは今後の勉強のモチベーションに関しても学力向上に関しても重要です。また、志望校が早慶であるならば、日東駒専あたりの同じ学部、あるいは問題の出題範囲が似ている大学の過去問を解いて行くといいです。難易度が下がりますので志望校よりも簡単に解けるはずです。是非とも頑張ってください。\n\n心から応援しています"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"何をすればいいかわからない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"質問者さんはかなり数学の実力が着いているのだと思います。あとは大学別の傾向というのがあるので、そこに対応できるかどうかだと思います。\n\n例えば、僕がいる九大は毎年必ず確率と複素数平面を出題している、という傾向があったため、毎日の勉強の際にはその2つを特に重点的にしていました。\n\nまた、九大は丁寧な誘導がある、ということで誘導の丁寧な問題がある別大学の過去問などを用いて対策もしていました。\n\nつまり、慶応や早稲田の傾向、形式に合わせて慣れていくのが1番だと思います。手っ取り早いのは過去問をめちゃくちゃ解きまくることです。\n\nまた、僕が九大を受けた際は例年と傾向も出題形式も変わり、かなり困惑しました。しかし、そもそもの数学力は身につけていたので突破出来ました。質問者さんは数学力はめちゃくちゃあるので、この部分は恐れなくて大丈夫ですが(そもそも私立は傾向変わりにくい)。\n\nメンタル面ですが、自分は傾向の対策さえ完璧にできれば実力はあるんだから受かる！と思い込むことの他ありません！また、偏差値や判定を見て一喜一憂するなといいますが、時々見て奮起するのがいいです。\n\n参考になれば幸いです！"}],["$","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",[["$","path","0",{"fill":"none","d":"M0 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"阪大文系数学参考書ルート"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"順番的には正しいと思います。\nですが、\n文系の重要事項完全習得編(赤文)は、最後の練習問題まで完璧にする必要があります。\nもっというと、阪大の文系数学ならばこの1冊で最低限のレベルには達します。焦ってどんどん次の問題集に進む必要はないです。\n6月までに完璧にすることができるのか。\nそして、実践向上編(青文)は少しヘビーです。\n実際阪大の文系数学以上のレベルの問題ものっています。夏休みを挟んだとしても、2~3ヶ月で完璧にするのは少し厳しいのではないかなと思います。\n\n揚げパンさんの数学のレベルが分からないので下手なことは言えませんが。。。💦\nでも、まだ完璧では無いのに次の問題集に進むよりは\n焦らなくていいので、赤文からならどの問題が出ても解答法が即答できるようにしてから次の問題集(青文)に進むべきだと思います。\n\n実際私は青文をやらずに赤文だけで合格できました。\nまあ。。。青文までする時間とキャパがなかったんですが💦\n過去問も、赤文の少し発展バージョンです。\n青文が出来ていれば余裕かと思います。\n\n赤文・青文はめちゃくちゃいい問題集なので！！\nプラチカはもし余裕があったら。。。的な感じで考えていてもいいかもしれません。\n\nただし、問題集をとく時は過程をしっかり意識してください。解ける問題も定期的に復習してください。\nこの時、解ける問題は実際に解く必要はなくて\n問題を見た瞬間に解答法(答えを導く過程)を言うことができれば〇です！\n\n過去問は最低限赤文が完璧になったら手をつけましょう。共通テストが終わってからでも最悪間に合います。\n10月位からは共通テストではなくセンターの過去問・河合や駿台やZ会の実践問題集(過去の模試問題)を探して買ってきて1A2Bとも80点以上を3回連続で取れたら終了\nみたいにしてやってみてください！\nこれ、問題集をやるよりもかなり力がつきます。\nその間に他の問題集です。\n\n合格できますよう応援しています！\n焦りすぎず、完璧では無いのに次に進まず、じっくり信じて楽しみながら頑張ってください！！"}],["$","div",null,{"className":"flex 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