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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。
1d:T122f,こんにちは～

ベクトル難しいですよね。自分も受験時にかなり苦労しながら習得していったので自分なりの考えをお伝えできればと思います！少々長くなるかもですが助けになれば幸いです！


まずベクトルをものにするうえでは大きな壁が3つほどあると思います。

1．概念そのもの
ベクトルは今まで扱ってきた数だけのスカラーに加えて方向を考える必要があるのでそれだけで十分考えるうえでの障害になります。

2．計算
ABベクトル＋BCベクトル＝ACベクトルみたいな図じゃないと理解できないものも多い＆分解、内積、位置ベクトルやベクトル方程式など全部が全く違う話に思える単元がたくさんあります。
また、未知数が大量に出てきて3つくらいの数式を連立しないと解けない場合も多いです。

3．幾何との融合
多くの場合ベクトルは図形と融合してくるので数IAで扱ったような内容がわからないと解けないこともすくなくないです。


まず1の場合は正直言って慣れるしかないかと思います。スカラーは生まれた時から20年弱親しんでいるのに対してベクトルは2年程度しか触れてないので最初は難しいとは思いますが、たくさん問題に触れてみたら意外とどうにかなったりします！（ここだけ精神論ですいません笑）


次に2の場合ですが、こちらは何が足りてないのかがわかりやすいので自己分析がかなりしやすいと思います。
もっとも大事なのは公式を覚えること。ベクトルはたくさんあるように見えて実は状況ごとに使える公式の数がとても少ないのが特徴です。（簡単なところでいえば直角が出てきた→内積＝0を使える、内分or外分点が出てきた→位置ベクトルの公式適用など）

公式を覚えきってから問題を見ていくと公式が適用できる条件を明確に認識できるようになります。

逆に立式できてるのに解けない場合はただの計算ミスだと思うので焦らずじっくりやればいいだけですしね。文系数学で出るようなベクトル問題の多くは公式を適用さえできれば慎重に解いていくだけで時間はかかっても答えは出せます。5分余計に時間かかっても完答できることのほうがよっぽど大事です！


3の場合も特に恐れる必要はありません。幾何に苦手意識があっても、前述したようにベクトルは使える公式が決まっていて雑に言えば問題がワンパターンになりやすいです。複雑に見える問題でも結局求めなければいけないのは基礎問題とおんなじということが多々あります。初見の問題を解くのは確かに難しいですが、類題を解くだけと考えれば難しくはないはずです。


たくさん書きましたが対策を一つにまとめると
公式を覚える→計算に慣れ、計算力をつける→いくつか問題を解いて解法パターンを身に着ける。
この３つだけです。
とにかく基礎を確実にしてから応用問題に取り組んでいただきたいのと、最初のうちはたくさん文字が出て混乱してしまうかもしれませんが、解法パターンさえみにつければ必要な情報を取捨選択できるようになるので安心してください！

問題演習や解法パターンの習得におすすめな参考書を書いておきます。よかったら使ってみてください！大変だとは思いますが頑張ってください！



教科書ネクスト　ベクトルの集中講義
名の通り教科書と他の教材の中間くらいのレベルです。難易度はかなり易しめですが苦手意識が強い場合はこれから取り組むことをお勧めします。

10日で極めるベクトル
解法パターンの習得におすすめです。最初はそうでもないですが、内容がどんどんむずかしくなっていくので最初の7，8日分だけ取り組むのがよいかと思います。また、ほとんどが実際の入試問題からの出題なのでそれなりに歯ごたえがありつつ実践の練習にも役に立ちます。青チャート、フォーカスゴールドなどの例題☆3，4レベルがある程度理解できるなーくらいになってから使うと効果的です。1e:T1103,まず、この時点でチャートの例題が解けるようになっているのは素晴らしいと思います👍
基礎力は着実についてきていると思うので全く悲観しなくて良いです。

どういう所で点を落としているのかわからないですが、どの分野も青チャートの例題はほぼ解ける状態だとすると、その先の訓練が少し足りていないのかなと思います。

具体的には「少しひねってあるが、青チャートレベルの基礎知識を上手く使えば解き切れる標準問題を見抜いて・解ききる力」をつけることです。

(ここでいう基礎知識というのは、青チャートの例題1つ1つが扱っているポイントのことです。)


入試問題は

🔆「青チャート例題レベルの基礎問題」

🔆「少しひねってあるが、青チャート例題レベルの基礎知識を組み合わせたり、発展させたりすれば解き切れる標準問題」

🔆「基礎知識だけでは解きにくく、最後に回すべき難問」

の３つに大別されます。

入試本番は全5問がどの種類なのかを見極め、解く順番を決めた上で、上記の基礎問題と標準問題を解けるところまで解き切る必要があります。

基礎問題はほとんどの受験者が解ききれ、標準問題はそれ以前の勉強によって差がつき、難問は極めて少数の人間しか試験時間内に解けないため、標準問題をどれだけ解けるかが勝負となります。


では先述の、「少しひねってあるが、青チャートレベルの基礎知識を上手く使えば解き切れる標準問題を見抜いて・解ききる力」をつけるには何をすれば良いのか？

その答えが過去問演習になります。

普通の参考書ではダメなのかと思うかもしれませんが、一般的に難しいとされている参考書は、ここでいう標準問題だけを集めたものが多いです。
なので、こういった参考書だけでは実際に入試で出る基礎問題や難問の手触りが学べません。

また、過去問と同じ問題は出ないと思われるかもしませんが、ポイントとなる部分が同じ、つまり傾向に沿った「似た」問題はよく出るので、過去問演習はとても効果的な志望校対策といえます。

早めに過去問演習を始めた方が、より早く自分の弱点に気づくことになり、余裕を持って対策を立てられるので、今から取り組み出して良いかと思います。


具体的な進め方ですが、はじめのうちは、得意な分野からでも、近い年度からセットで解いていっても、好きなように進めればいいと思います。（直前期の演習用に、最近の2、3年度分は残しておくことをお勧めします。）
時間制限も秋ごろまではかけなくていいと思います。

とにかく、

🔆その問題がどの種類の問題なのかを考える
（多くの過去問集には難易度指標がついているのでそれを参考にしてください。鉄緑のものが詳しくて良いと思います。）

🔆標準問題を通して基礎知識の応用方法を吸収していく
（重要なポイントをまとめているのはとてもいいと思います！自分も大事だと思ったところをルーズリーフに書き溜めていき、試験前にはファイリングしたものに目を通していました。）

🔆基礎問題や標準問題が解けなかった場合、どうして解けなかったのかを考え、次に同じようなところで詰まらないようにするにはどうすればいいか考える

🔆基礎知識の抜けに気付いた場合は、適宜チャートを見返したりして復習する

といったことを意識して進めてください。

注意点としては難問の復習に時間をかけすぎないことです。必要最低限の知識だけ吸収してとばしましょう。

色々と書きましたが、この辺りのことは「受験の叡智」という本に、より詳しく、説得力のある形で書かれているのでぜひ読んでみてください！2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=m1K3ZYABTqPwDZPu42wG","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数学の勉強法"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",15,") コメント(",2,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"4/26 20:53"}]]}],["$","div",null,{"className":"coach-mark 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mb-1","children":"僕からは青チャートの具体的な進め方をお伝えします。\n\n1;解放暗記として例題だけをやってしまって、全て一通り解けるようにする。目標は、問題文を見た瞬間、初手から完答までの流れが頭で再現できるようになることです。\nイメージは、例えば三次関数の解の個数問題で、問題文見た途端、あー、この問題はまず定数分離して、微分して増減表書いて、グラフ書いて、定数動かせば終了だな！って感じ。\n\nこの時に、最初の一周目というのは一分くらい考えて答えが分からないなら、すぐ下の解説を見ながら解いてオッケーです。ただ、解説を暗記しちゃダメで、あくまでも解放を暗記してください。\n例えば、二次関数の解の配置問題なら頂軸端に注目！みたいな、、、\n\n二周目は一周目で解けなかった問題を自力で解いてみてください。\n\n自力と言っても、覚えたことを思い出せるかのチェックですけど。\n\n三周目は、二周目でも解けなかった問題(多分一分野で３題くらいかな)\n\n\n\n　\nこのやり方だと、一周目に一問30分くらい、二周目三周目は一問10分くらいの感覚で解いていった気がします。\n\n\n2.最後の章末問題を解きます。ここでは、解放暗記が役に立つのかのチェックと、思考力を鍛えてください。\nだから、わかるまで時間をかけて粘るべきです。\n1週間くらい考えるのもありだと思いますよ。\n\n\n\nちなみに、例題の下の練習は、面倒だったので僕はやりませんでしたが、時間があるならやっても良いんじゃないでしょうか。ただそれよりもチャートは分厚いので、サクサク進めていった方がいいと思います。\n\n\n\n\n正直、地方国立大だったら、解放暗記で十分だと思うので、2️⃣の必要はあんまりないかもしれませんが、旧帝大クラスになると思考力は必須です。\n\n自分の志望大に合わせて、時間配分して頑張ってください。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学のできる人"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"初見の問題が解けるようになる数学の勉強法について話しますね。\n\nまず、初見の問題は大きく分けて2つあります。\n\n① 基本問題だが自分にとっては初見\n② 応用問題で多くの人にとって初見\n\nまず、①について\n基本問題の演習を繰り返し、基礎固めをしてください。\n具体的な方法は下に書いておきますね。\n\n次に、②について\n応用問題は基本問題の組み合わせです！\nなので、身についた基礎をどの場面でどう使うか考える練習をしましょう！\nこれも具体的な方法を下に書きますね。\n\n\n上の①②に対応する\n数学の『オススメ教材』と『オススメ勉強法』について紹介します。\n\nまず、『オススメ教材』ですが\n全範囲を満遍なくカバーし、数学の基礎力向上に最適な教材として\n・青チャート1A2B\nをオススメします！\n\n解答解説がしっかりしていて、\nなおかつ、問題を解くときの考え方まで紹介しているので、基礎固めはこの教材を何周もすれば十分です！\n\n基礎がしっかりできていれば、\n全国の受験生が受ける模試であれば\n偏差値60〜65程度は到達可能です。\n\n青チャートを完璧にすると\n模試の時にどれが基本問題でどれが応用問題かわかるようになりますよ！\n\n次に、青チャートが終わったならば\n今度は身についた基礎を使う練習\nつまり、応用問題を解くために基礎をどの場面でどう使うかを練習しましょう！\n\nこの演習用として\n・1対1対応の数学\n・プラチカ\n・やさしい理系数学\nなどがオススメです！\n\n次に『オススメ勉強法』ですが\n青チャートを使うかどうかに関わらず、\n問題の考え方や解答を理解した後に解答を見ずに\n最初から最後まで自力で再現してみることが大切です。\n\nここで、再現できないようであれば、\nまだまだ理解が足りてないということです。\n\nつまり、\n問題を解く\n↓\n考え方と解説を理解する\n↓\n解答を見ずに、自力で再度解く\n\nこの3つのことを繰り返すことで飛躍的に数学力が上がります！\n\nぜひ、実践してみてください！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"「共通テストで数学8割5分取るには」"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！たまちゃんです。\n苦手なところは黄、得意なところは青で問題ないと思います。問題を解くのは問題を解けるようにするためにする行為です。当たり前だ、と思われるかもしれませんが、何も考えず、作業みたいに問題を解くのはやめて下さい。時間の無駄です。わからなかった問題も理解しようとして解説を見て下さい。そして解けなかった問題は翌日も解きましょう。そして、その日も解けなかったらその翌日もまた解きましょう。そうやって苦手を潰していきましょう。\n\nまた、たまには解法を整理してみるのも面白いです。例えば、図形の問題ならば、初等幾何(チェバ・メネラウスの定理も含む)、ベクトル、座標、複素数(数Ⅲ)の4つの解法を使う問題がほとんどです。辺の比がわかっていたら、ベクトルを使うことが多いとか、角度がわかっていたら複素数の回転使うかもしれないなとか整理出来ていると、問題を解く際に解法が思い付きやすいかと思います。まぁですが、これは結構難易度高めなので、2次試験の数学で高得点を取りたいならしても良いと思います。数学を共通テストでしか使わないならこんなことはしなくて良いです。\n\n数学は成績もなかなか上がりにくい科目です。ですが、解けなくてもあまり気にせず、軽い気持ちで解きましょう。質問者様はベクトルが好きということですが、基本的に皆苦手とする分野です。そこが好きと言うのはとても良いことです。その調子で頑張っていきましょう！！\n応援しています📣"}],["$","div",null,{"className":"flex 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