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1c:Td56,こんにちは。現在京大の理学部に通っているものです。受験数学に対しての自分の考えをお教えするので、疑問解消の一つの参考にしていただければ嬉しいです。

まず前提として、青チャートやFocus goldなどの網羅的な数学参考書というのは、解法を知り、武器を増やすためのものであって、難問に対する向き合い方をきたえるためのものではありません。青チャートをやったからと言って必ず難問を解く力が身につく訳ではないということです。さらに、解法を覚えるという点で見ても、力がつく方法とつかない方法とがあると思います。「問題の本質を理解しろ」とはよく言われることだとは思いますが、その所謂本質たる部分を自分の言葉で言えることが大事だというのが自分の考えです。問題の本質とは何かについては様々意見がありますが、自分が思うに、それは答案をつくるときの根幹となる操作・理由・着眼点を他の問題にも適用できるように抽象化したものです。例えばベクトルを用いる問題に対しては、細々とした操作はありますが、基底を選んでそれで他のベクトルを表現しに行くことが多くの問題で根幹にあります。そこを言語化出来ないのであれば、解法を体得して応用可能にしたとは言えず、逆に出来るのであれば、力がついたと言えるのではないでしょうか。

次に大切なのが、先に少し触れましたが、難問に対する向き合い方を鍛えることです。そこでやはり有効なのは、解法を身につけたうえでの演習です。ご友人のようにチャートとはことなる参考書に手を付けることが一番手っ取り早いでしょう。ただ演習をするうえでも気を付けてほしいことがあります。それは解法の習得の時と同様に、問題の本質たる部分を言語化することです。解けた解けなかったではなく、すべての問いに対してそこを明らかにしていくことで、初見の問題に対しても指針を立てて答案の根幹を見極める力をつけることができます。

加えて、これは答案を考えるというよりも答案の論理や細かなところをつめることにつながるのですが、なんとなく無意識で行っている操作・記述を、根拠をもって意識的に行う癖をつけることをお勧めします。例えば媒介変数を用いて表される曲線に対して、媒介変数を消去することによって曲線の方程式が得られることが挙げられます。あまり考えずに行っている人が多く感じますが、これは曲線が表式を満たす媒介変数が存在するような点の集合であるからと説明できます。このように論理を意識的に組み立てることで減点の要素を減らすことができます。ただ文系の場合はそこまでこだわらずとも大丈夫だと思いますので、オーバーワークにならない程度に意識してもらえればいいと思います。

上記のことを頭の片隅に置いて、演習を積んでいっていただければ幸いです。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=oFFUbH4BTqPwDZPuf-zY","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"模試数学解けない"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",6,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"1/18 8:36"}]]}],["$","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。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":null,"clientUserName":"ちい","infoString":"高1 宮城県 東北大学工学部(60)志望","adviceId":"oFFUbH4BTqPwDZPuf-zY"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"青チャートなどの問題は解けるのに模試の数学の問題になると解けないです。どうすれば解けるようになりますか？\n回答解説を見れば理解はできます。"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}],null]}],["$","h1",null,{"className":"text-xl font-semibold 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mb-4","children":[["$","div","advice-part-0",{"children":[null,"こんばんは、名古屋大学医学部のファルコンといいます。\n\n模試になると数学が解けないというのは完全には理解出来ていないか、問題を解く時の考え方が悪いかだと思います。\n\n完全には理解出来ていない場合\n解答解説を読んだ時にまず｢なぜその式が出てきた？｣｢この解法は何に注目してて、そこに注目したのはなぜ？｣といった｢なぜ？｣を一つ一つ解消していきましょう。\n\n問題を解く時の考え方が悪い場合\n上の理解できてない場合とは反対(？)のようなんですが、自分で解答する時に｢この問題は結局何が言えればいいの？｣というのを考えられるといいかなと思います。\n｢Aを求めるにはBが必要、じゃあそれはCから導ける｣といった感じです。\n\n\nあとは問題文にある条件を見た時に、その条件の形だったりで何を使うのかを考えたりするのも効果的です。"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_F79AD8D80EE2410E948B695BEE0BE23D.jpg?alt=media&token=1456b046-ac49-4f34-ab65-481864a7ad5c","adviserName":"ファルコン","adviserDepartment":"名古屋大学医学部","adviceId":"oFFUbH4BTqPwDZPuf-zY","numberOfFan":72,"clipsAvg":9.52127659574468,"adviceRateAvg":4.801675977653631,"profile":"名古屋大学医学部に在学中。\n数学、物理を得意にしてました。\n\n相談ドシドシ送ってきてください👏👏"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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10:56"}]]}],["$","div",null,{"className":"text-xs whitespace-pre-wrap","children":"ありがとうございます\n今後の勉強に取り入れたいと思います"}]]}]]}]]}]}],["$","h1",null,{"className":"text-xl font-semibold","children":"よく一緒に読まれている人気の回答"}],["$","div",null,{"className":"mb-8","children":["$","div",null,{"className":"divide-y","children":[["$","div",null,{"children":["$","$L7",null,{"href":"/advice/R1Ldhn4BTqPwDZPuwgOv","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の勉強の考え方"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんばんは、名古屋大学医学部のファルコンといいます。\n\nなぜ？を意識して解けてるのは素晴らしいです。その調子で頑張ってください👏\n\nさて、過去問になると解けなくなってしまう、という悩みですがおすすめの解き方として、逆算して解くという解き方してみてはどうでしょうか？\n\nこの結果Aを得るには何が必要？→Bが言えればいい\nじゃあBを言うには何が必要？→条件Cを使えばいい\n\nなど、論理展開を後ろから考えてあげれば想像しやすいですよ。\n\n結局のところ数学というのは\n解説を読む時→｢なぜその式を使うのか？｣｢どうしてそういえるのか？｣\n自分で解答する時→｢何が言えればいいのか？｣｢この与えられた条件はどこで使うのか？｣\nこれを徹底していけば、必ず解けるようになります。\n\n解説を読む時に｢なぜ？｣を意識して読むことは出来ているので、今度は自分の解答する時に欲しい結果から｢何が言えればいい？｣というのを考えてあげてください。\n\n闇雲に解き進めるのではなく、根拠を持って解くことで自分の解答の何がいけなかったか？が見やすくなります。最初は間違った根拠スタートでいいので、根拠を持って解くことを意識してみてください！"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[["$","div",null,{"className":"mb-1","children":"模試になると数学が解けない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"その気持ち分かります。私も模試になると毎回解けるのに解けないもどかしさを感じていました…\n\n原因や克服法は人によって異なると思いますので、私の経験を元にしてお話いたします。\n毎模試終わりに、解けない理由を色々と考えてみた結果\n（1）試験になった途端に無意識に軽くパニックになっていること\n（2）気づかなかった解法は自分があまり使いこなせていない解法であったこと\nの2点について思い当たりました。\n\n先に（2）の克服法から申し上げると、自分が少しでも不安に感じた部分をチャートのような問題集で何周も演習することで克服しました。また、センター数学では、記述では用いないような解法を指定されることが多いですが、結局は基礎的な解法をつなぎ合わせるだけなので、チャートを完璧にすることで克服できると思います。ここで大切なのは「漏れなく」「完璧に」解法を習得することです。\n\n（1）については時間を計りながら、自分があたかも本試験を受けているかのように思い込んで過去問を解くことで克服しました。要は場馴れです。場馴れをすることで、だんだんパニックは収まってくると思います。その際、自分がどう考えながら過去問を解いたかを、解いたあとに反芻して次への反省にするということを、毎回行うことが大切です。また、わからない問題に出会った時に、大人しく諦めて次の問題に移ることも大切です。\n\nまだセンターまでは時間があります。今の時期に焦って基礎を疎かにせず、自分としっかり向き合いながら基礎を丁寧に完璧にしていってください。\n\n長文駄文失礼致しました。これからのご健闘をお祈りしております！\n\n\n"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"解法を身につけるには"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"なぜかの解法が思いつくのかということですよね。\nいくつか方法を挙げるので、良いのがあれば実践してみて下さい。\n\n①誰かになぜこの解法になるのか質問\n②誰かに解かせてみて、思考の過程を盗む\n③分からない問題に印だけつけて、他の問題集にいく。\n\n特に問題集は思考の過程が詳しく載っているものがいいと思います。実際に本屋さんで見比べてみるといいけど、「入試問題の核心」とかオススメかな。時間が解決するとはよく言ったもので、戻ってきたらある程度理解しやすくなってるもんよ。\n\nまぁ、数学の解法がパッと出てくるのはめっちゃ大事だけどあくまで武器を揃えてるだけ。ある程度武器揃えたら初見問題を解いて、実際に使ってみないと身になりませんよ。スポーツも練習ばっかじゃダメ、試合をしてみないと見えてこない世界がある。勉強も同じですよ！\n数学のセンスがないと自覚があるなら、数学は暗記という言葉をあまり真に受け過ぎないように…"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"青チャート何周もしたのに解法を忘れるのはなぜか？"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"つるまるさん、こんにちは〜☺️\n\n確かに、やってもやっても身につかないことってありますよね。私も、模試などの時に、「これ絶対やった問題なのに〜。なんで分からないんだー。」と自分を殴りたくなる経験を何度もしてきました。そんな私が悩んだ末に編み出した。解法暗記方法をお教えしたいと思います。\n\n✅行き当たりばったりの解答を止める\n\n解答を作成するときに、最後まで解答が思い浮かんでいないうちに書き進めてしまっていませんか？\nもちろん、模試の時や入試本番でどうしても点数が取りたい時にはとりあえず書き進めるという方法を取ることも全然アリです。\n\nしかし、練習の時はそれではいけません。特に解法を定着させたい時には、方針を立ててから解くようにしましょう。\n\nではなぜこのようにするといいのでしょうか。\n\n行き当たりばったりで解くと、自分がなぜその思考に至ったのか分からなくなってしまいます。自分の思考の理由がわかると足がかりが増えます。\n\n✅多くの解答に共通する考え方を探す\n\n数学には多くの問題に使える考え方がたくさんあります。\n\nたとえば…\n\n２変数だったら一文字固定しよう\n整数問題は因数分解、剰余類に分ける、範囲を絞る\nベクトルは基本ベクトルだけで表す\n軌跡は軌跡上の点を（x,y）で置く\n\nなど最初の一手が決まっている問題は多いです。\nこのような共通する考え方をたくさん知っていると解法に辿り着きやすくなります。\n\n✅最後から考えよう\n\nこれは方針を考えるコツです。\n最終的に何をしたいのかを確認しましょう。特に指数対数の範囲では式の変形に注目しすぎて最終的に何をしたいのか分からなくなりがちです。\n\nですから、最後から逆算してゴールから考えてみるというのも解法にたどり着くための鍵になると思います。\n\n✅大量の問題を解こう\n\nやはり、これが単純かつ確実かつ最強です。大量の問題を解くことによって、解答の中の当たり前の部分が増えます。すると、一瞬で頭の中で解答の最後の方まで辿り着けます。\n\nさらには初見の問題を見ても頭の中で類似問題を検索して知っている問題として解く事ができ流ようになります。\n\n\nどうでしたか？文系の方にとっては数学は難敵ですよね。数学の問題を解く１番のコツは必ず解けると思うこと。解けないかもしれないと思いながらだと解けません。自信が実力を上げ、実力が自信を上げるのです。"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学ができない。理解できない。"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！\n\n数学はまず公式を覚えてないと解けないんだけど、覚えててもあることができてなければ解けません！それは公式をどこでなぜ使うのかを理解することです！\n\n例えば判別式！ただ単にこんな問題にはb^2-4acすればいいやって思ってませんか？判別式は解の個数を求める時に使いますが、これをグラフに置き換えると二次関数のグラフとx軸が交わるかどうか、交わるなら一個なのか二個なのか接するのかなどなど。その公式には意味があるからこそ公式になってます。ただ公式を覚えただけでは、今は取れても入試では木っ端微塵に切り刻まれます、、、\n\n青チャもいい参考書です！もし青チャをやるならば解説もしっかり読んで、例題を解いたら類題もしっかりやり込んで確認してください！\n\nもし、青チャでもよくわかんないって時は教科書をやりましょう！教科書こそ1番の基礎の参考書です！例題解いて問題解いて、まず教科書レベルを確実に抑えましょう！意外と抜けているところが見つかるかも？\nファイト！"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"模試数学の解き方"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"教科書レベルの問題が解けるのはパターンを覚えてそれを使って解いているからであって、問題集や模試でつまづいているということは厳しい言い方をすると基礎および本質の理解ならびに演習量が足りていないからだと思います。\n\n教科書をわかるまで読むというのも、公式を覚えてこうやって解くんだなと解き方を理解するのでとまってしまっているのではないでしょうか。問題集も答えを合わせることに意識が向いてしまっているのではないでしょうか。\n\n\n教科書の問題や問題集をやる時にはただ単に問題を解く、解き方を見て答えを理解するのではなく解説の行間を読む、すなわちなぜこの式が出てきたのか、どういう意図を持ってこういう解き方をしているのかを考えながら丸つけをし、後日問題を見ながら人に解説する気持ちで(なぜこの式を使うのかこれを使うことで何が求まるのかできれば口に出すと良い)白紙に計算ではなく答案をかきあげるという作業をやると良いと思います。\n\n\n問題集において大切なのは答えを出すことではありません。\n問題を通して解法の本質を知ることです。\n一度そこを意識してやり直すのが良いのではないでしょうか。\n\n\nまた、勉強法とはべつに模試の解き方について言及させて頂くとこれは「時間管理」のひとことに尽きると存じます。\nまず全ての大門をそれぞれ10分以内で手をつけてみる→解けそうな問題にもどってまた10分粘る\n\nという形で全ての問題に一度満遍なく手をつけた上でどれが解きやすくてどれが難しいのか分類し解ける問題を解いていくという時間戦略をとると良いと思います"}],["$","div",null,{"className":"flex 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