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1c:T10ae,こんにちは。今回は青チャート云々というより数学の勉強について答えていきます。

まず前提として数学は暗記科目ではありません。定義や定理、公式は覚えて身につける必要がありますが、それを覚えたからといって直接点数には結びつかない場合が多いです。だからこそ難しいのですが、、、


ではどうしたら良いか。ということでまず、、、


センター試験レベルの問題は定義や定理や公式を暗記し、一般的な解法を何度も反復することで満点は取れるようになります。センターは教科書レベルのものの理解度を試すものであるからです。ということは、まず当面の目標としてセンターで時間をかけてもいいから満点を安定して取れるレベルを目指しましょう。
青チャートの7割の例題の解法を覚えているなら容易いと思います。


次に、、、

この次の段階に行くにはどうしたら良いかを説明します。例題の中で暗記しやすいものはいわゆる典型問題というもので何かしらの公式や定理を当てはめるだけで答えが出ます。そして覚えにくい問題というのは公式の単純な当てはめでは解けないもの、いくつかの定理を組み合わせなければいけないものです。
これらは典型問題のような解法暗記では解けるようになりません。問題によって考え方を変え、応用しなければならないからです。

応用問題、複合問題では解法の暗記が重要なのではなく、解答のプロセスと問題のテーマが重要です。ですので、１つひとつなぜこの公式を使うのか、解答を得るために何が必要なのかを意識するようにします。「なぜ」という疑問を常にもち、必ず納得して勉強をしましょう。
そしてそのあと、ほったらかしにせず、翌日や翌週などに問題見て頭の中で解答のプロセスを順序だてて辿ります。これは書いても良いですがサラサラとメモっぽくで十分です。とにかく論理だてて、理由をつけて考えるようにします。
そうすることでどのような場合にどのような考えを使えばいいのかがわかるようになってきます。

また、考え方を予め決めておくのもおススメです。

例えば、
図形の問題が出てきたら、
1-三角関数、2-ベクトル、3-初等幾何、4-座標に置き換え、5-複素数平面
の順に考える。などです。そうすることで詰まってもどんどんほかの解法でチャレンジ出来、初見の問題でも解けるようになります。

解法の選び方、論理立てて考える方法、公式や定義や定理の応用の仕方などが書いてある参考書があります。それは「世界一わかりやすい京大の数学」という本です。これは数学の根本に基づく解き方、プロセスが事細かに書かれているため非常に参考になるのでおススメです。京大の問題は思考力を要する問題であるため、数学のレベルアップにはうってつけです。数学1A2Bを一通り学んだものであれば問題なく使用できるので、京大だからと物怖じせずにやることをかなり強くオススメします。僕はこれでかなり偏差値が上がりました。


最後に、、、

数学は簡単に伸びる科目ではありません。できるようになるには長い時間がかかります。我慢して我慢して解法を論理立て考え深い理解をすることで、徐々に解けるようになってきます。
簡単に身につくものは簡単に忘れてしまいます。じっくりと根気よく数学に真摯に取り組むことが遠回りに見えて最短の道のりです。諦めることなく続けていきましょう。

大変ではあると思いますが、必ずできるようになるので最後まで頑張ってください。第一志望の大学に合格出来ることを心より祈っています。
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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"青チャートが身につかない時の効果的な勉強法"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！\n現役東工大1年生の私がお答えします。京大生ではありませんが、数学は得意で受験期には力を入れて勉強していたので、少しでもお役に立てればうれしいです。\n\nさて、「解法の効率的な暗記」についてですが、これは大きく インプットとアウトプット の2つに分けて考えると整理しやすいです。それぞれのポイントを紹介します。\n\n☆インプット：\n数学はある程度パターンの暗記が必要ですが、青チャートの解答を丸暗記する必要はありません。むしろ丸暗記してしまうと、「なぜその解法なのか？」という根本が見えにくくなり、初見の問題に対応できなくなることもあります。\n\nそこで意識すべきなのが、「指針」の部分です。\n青チャートにある指針（＝問題の考え方の流れ）は、解法の核となるアイデアが簡潔にまとまっていて、ここを理解・記憶することが最も効果的です。\n\nただし、ここで注意してほしいのは、「指針を覚える」と言っても、英単語のように丸暗記するのではないということ。指針の流れや意味を「理解する」ことが大前提です。\n\nもし、「この指針、なんでこうなるの？」「何を言ってるのか分からない…」と疑問を感じたら、それは学びのチャンス！自分で考えてみたり、先生や友達に聞いたり、知恵袋のような場で質問したりするのがおすすめです。疑問を解決するプロセスそのものが、記憶の定着や応用力につながります。\n\n☆アウトプット：\n青チャートが他の参考書と違う大きな点は、例題に対応した練習問題（類題）や発展的なExercisesが豊富にあることです。\n例題だけを繰り返しても、実はなかなか身につかないこともあります（私もそうでした…）。\n\nおすすめのやり方は、一度間違えた例題に対応する練習問題だけを解くことです。つまり、例題でつまずいたら、その指針と解法を理解したうえで、練習問題にチャレンジする。そうすることで印象に残りやすく、効率よく身につけられます。\n\n2周目が終わったら、仕上げとしてExercises（章末問題）にも挑戦してみましょう。難しい問題も多いですが、解法の幅が広がり、実力アップにつながります！\n\n実際に私はこの方法で学習し、高2の全統模試（数学）で偏差値72以上をキープしていました。\n「暗記＝丸覚え」ではなく、「理解をともなう定着」が数学では何より大切です。ぜひ、自分なりのやり方に少しずつ取り入れてみてください！"}],["$","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":"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":"青チャート 周回"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは。私は京都大学工学部電気電子工学科の3回生です。\n\nあなたが書かれている「問題を見て方針だけ考えて答えと照らし合わせる」という勉強法、実は私もずっとやってきました。安心してください、それで本当に力はつきます。ただ、3〜4回解いて分からないのは当たり前です。私は10周以上やって思考力が身につく問題は普通にありました。青チャートはレベルが高いですから、今その段階でつまずいていても全然気にしなくて大丈夫です。\n\nただし注意点があります。「なんとなくこんな感じで解けた」だと応用問題や入試本番で歯が立ちません。必ず「なぜこの方法で解けるのか」を論理的に説明できるようになる必要があります。青チャートは例題の解答の前に「方針」がまとめてありますよね。そこをただ読むだけではなく、「自分はどうすればその方針を思いつけるのか？」を考える習慣が大事です。青チャートの解答は時々飛躍している部分もあるので、自分で埋める練習をしましょう。\n\n私はこのやり方を高3の夏まで続けていました。苦手な単元は定期的に戻って確認していましたし、その後は「世界一わかりやすい京大理系数学」を使って、時間を測りながら解いていました。これは過去問演習のような形にもなり、最終的には何周もやり込みました。\n\n参考書に関しては、あれこれ手を広げるよりも1冊を極めて考え方を自分のものにする方が圧倒的に効果的です。特に京大は知識よりも「思考力」が試される大学なので、浅く広くよりも深く理解して使いこなせる状態を目指してください。\n\n私自身、この勉強法で京大入試本番では7割超を安定して取れました。難しい年度でも平均は余裕で超えるくらい、思考力が鍛えられた実感があります。\n\n焦らず、でも確実に「自分で考えて説明できる力」を積み上げていってください。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の勉強法"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"テストの時に、与えられるのは「問題文」だけです。そこから「ひとつの解答」が決まるわけですので、問題文から解答には一意に翻訳をすることができるということです。\n\nですので、問題文のどの記述が、どの解法に繋がるのか、どの条件式に繋がるのか、「問題文を翻訳する」という視点で勉強してみるのはいかがでしょうか？\n\nそしてその条件式は次の解法に翻訳される。というわけです。\n\nまた、実際に問題文に対峙した時、自分はどのような思考回路になるのかを意識してみると良いと思います。\n\n正しい方針にたどり着くまでの無意識下で、自分の思考回路は問題文のどこを判断材料にしたのか。\n\n私は「もし受験問題を解くコンピュータを作るとしたらどんな思考回路をするのか」と想像しながら、未知の問題文に対峙した自分の思考回路を規定するという勉強法をしていました。\n\n参考になれば幸いです。がんばってください。\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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 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items-center py-4","children":[["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"高2の数学の勉強方法"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"私が実践していた方法です。\n\n\n1.まずは一通り例題を解き、公式の使いどころを覚える。（基本問題）（高2のうちにここまでやる）\n→数学には解法パターンがあります。こういう問題が来たら、こういう方法で解く、というのが反射的にわかる、身につく、というところまでもっていきます。\nこの時、公式がわからない、理解できないときは教科書を開いて理解するようにしましょう。\n\n2.例題の下にある問題を解く（標準問題）（高3の夏休みまでにやりたい、名市大レベルなら最終的にここまででもOK）\n→わからなくてもすぐに答えなどみずに、10分は考えるようにしましょう。この時色々な公式や解法が頭に浮かべば、知識は身についている証拠です。\n逆に標準問題で手も足も出ないなら、教科書に立ち返りましょう。\nここまでできれば、定期テストや模試である程度の得点は見込めます。（青チャートなら国立大やマーチレベル）\n\n3.章末問題を解く（応用、発展問題）\n→数学を得点源にしたい人、難関国立大や早慶を狙う人は最終的に解けるようにしましょう。\nこのレベルだとさまざまな公式を合わせて使う、複合タイプの問題になります。\nこの問題をやるときは、「自分がどこまでわかっていて、どこからがわからないのか」をしっかり把握するようにしてください。復習するときはできないところの例題などを見返し、できるようにしましょう。\nこれが解ければ模試の大問もほぼ完投できます。\n\n\nこのように、大事なことはとにかく、\n理論を理解する\nことです。\n闇雲にやって量をこなすのではなく、丁寧に時間をかけて勉強してください。\n"}],["$","div",null,{"className":"flex 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