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14:Td59,現役東工大500点越え、非進学校出身、塾なし独学の者です。 質問に可能な限りお答えさせていただきます。 まず、高一の時点でそこまでやる気があるのは素晴らしいと思います。自分自身も高一から青チャートで勉強を進めていたので境遇は非常に似ていると言えます。早速ですが質問について 1、ペース 青チャートのペースは良いと思います、よく考えているのが伝わってきてグッドです。だた、年内に1対1を終わらせるのは無理があります。青チャートの次に1体1をやるのは基礎を完璧にするためです。1対1やってすぐに応用問題が解けるようにはなりません。もっというと青チャート→1対1のルートを取る人に共通していることは、「同じ参考書をずっとやるのが苦痛である」ということです。実際、青チャートを7割くらいできるようにして1対1を7割くらいできるようにするよりも青チャートを完璧に解けるようにする方が絶対に伸びます。お勧めは青チャート数1A2B3Cを2025年末までに完璧にすることです。 2、参考書について 自分は塾でバイトをしている都合上たくさんの参考書を見たり使ったり勧めたりしますが、優しい理系数学は「応用問題が解ける人が応用問題に使う解法を確認するための参考書」であって、間違っても「応用問題を解けない人が解けるようにするための参考書」ではないです。かといって、真解放への道は難しすぎます(掌握の若干下位互換位の難易度でトップレベル)そこでお勧めするのが新数学スタンダード演習です。これを2025(1月)〜2026(7月末)くらいまでに完璧にすれば東工大で合格点をとるくらいの実力はつきます。そこからは正直自分の苦手を埋めたり、時間に余裕があれば新数学演習で更なる高みを目指したり、個性が出てきますから何とも言えません。 2、過去問の時期 買うのはいますぐです。どういう問題があるのか何となく把握しましょう(多分何が書いてあるのか全くわからないと思いますがそれで構いません)解くのは、青チャートが完璧になったら5年分くらい、新スタンダード演習が完璧になったら本格的に解くというのをお勧めします。 3、改善案 なのでよく陥りがちなミスを紹介します。それは数1数2+数列の基礎が完璧じゃない状態で数3Cに入ってしまうということです。全統の偏差値が60というのは基礎が完璧でない状態です。青チャートの例題が全て解ける状態なら少なくとも偏差値68は切らないです(150-160点)この状態で数2だけを勉強するのは良くないというよりも 単純に効率が悪いです。偏差値60の状態で数2Bを勉強していくよりも65の方がそれよりも70の方が吸収速度が早いです。これはあくまで提案ですがおすすめは 月、水、金、(日)は数2Bを5題1Aを5題 火、木、土は数2Bを7題1Aを3題 と決めてしまうことです。(上は例です) 4、最後に 絶対合格できる、頑張って!15:T1fab,以下、私の理解が浅薄で誤っている場合は申し訳ございません。「ふーん」程度で読んでいただければ幸いです。 ⑴ 記憶について  人間の記憶にはいくつかの種類があるようです。「記憶の対象である知識が言葉によって表現できるか否か」という性質で区別するならば、「言語的な知識の記憶」と「非言語的な知識の記憶」とに分かれるでしょう。  前者は専ら「意味記憶」と言われます。簡単には、「○○は☆☆である」のような一般的な知識の獲得・保持です。意味記憶の対象となる、言葉によって表現し獲得できる知識を「命題的知識」(略して「命題知」)といいます。  これに対し、後者は大きく二つに分かれます。一つは、五官によって得た感覚の記憶です。その対象(すなわち、五感)を仮に「感覚知」と呼びましょう。匂いや音、触った感触などは、多くは「○○の(ような)匂い」と比喩を用いて表されるか、「鈍い音」「滑らかな肌触り」などと大まかな特徴を捉えて表されます。このように感覚知は、他の存在を借りるか、あるいは程度に幅をもたせることによってしか表現できないことが多く、直接にそれ自体を言葉によって完全に再現することは極めて困難です。その意味では、非言語的な知識に分類されると考えて差し支えないでしょう。  いま一つは、一般に「体が覚えている」といわれるものです。このような記憶を、「手続記憶」といいます。手続記憶の対象となるのは「技能知」と呼ばれます。つまり、「やり方を知っている」ということです。この名から察する通り、手続記憶は、技能の習得にかかる記憶です。卑近な例を挙げると、久しく乗っていない自転車も、いざ乗ってみれば、前のように問題なく運転できたとか、小さい頃に辞めたピアノも、今弾いてみると、案外弾き方を覚えているとかいった経験は、誰しも心当たりがあると思います。このような身体による(身体の活動も源流を辿れば必ず脳を介するので、このような表現は語弊を招くかもしれませんが)記憶が手続記憶です。手続記憶は、練習によって獲得するほかありません。  なお、命題知と技能知は相互排他的な関係にはなく、同一の経験によって両方を得ることも考えられます。自転車の例で見ても、実際に自分の足でペダルを漕ぎ、前進する感覚を得るのは技能知ですが、これにより得る「ペダルを漕げば自転車が前に進む」という一般化された知識は命題知です。 ⑵ 記憶の観点からみる数学  このような記憶の観点から見たとき、数学における公式・定理や解法の知識は、それ自体として命題知であると言えるでしょう。それに対して、これらの知識を他の問題に実際に応用することは、技能知の獲得に係る行為だと言えます。つまり、ご相談の内容に照らして簡単に換言すれば、解法暗記は意味記憶であるのに対し、それを用いて模試などで問題を解けるようになることは手続記憶であると言えましょう。実際、問題を解くときに頭の中で行われているプロセスを言語化しろと言われても難しいですね。  そうすると、手続記憶である以上、定期的な練習が不可欠です。なぜなら、技能知は非言語的な知識だからです。言葉によって得られない知識は、夥しいほどの練習によって身に染み込ませるほかありません。一問・一解法の単射的な意味記憶だけでは不十分だと思います。基礎問で得た解法を応用するには、基礎問にない、しかし同じ解法によって解かなければならない問題を解くことが必要です。応用とは本来そういうものです。所謂類題を解く意義はここにあると私は思います。  しかし、逆に言えば、手続記憶である以上、体がそのプロセスを覚えてしまえば、ある程度間隔が開いても対応できるようになります。それは、先の自転車やピアノの例の如くです。数強と言われる人たちは、このような知識の身体化に成功した者たちのことを言うのではないでしょうか。つまり、初見の問題にさえ条件反射的に解放を導き出せる(基礎問でいえば、初見の問題と基礎問の問題との共通点や相違点を瞬時に見出し、使える解法を直ちに検索できる)ほど、演習量をこなしてきた者たち、問題へのアプローチの仕方が骨身に染みている者たちです。 ⑶ まとめ  私自身も何を言っているのかわからなくなってきましたが、まとめると、①理解したうえでの解法暗記も、未だ意味記憶にとどまっている以上、その理解を他に応用する練習が別途不可欠であること、②その練習による手続記憶の獲得は一朝一夕にはできないこと、③そのためには練習を定期的に数多く踏むことが重要であることの3点がお伝えしたかったことです。まぁ一言で言えば、とにかく量(解いた回数だけでなく、解いた問題の幅広さも)をこなすことが何よりの前提であるということです。基礎問3周で解法の基礎的なインプットは十分済んでいると思うので、これからはとにかくアウトプットとして色んな問題に触れていくことが大事だと思います。 ⑷ 私がやった問題集  以下に、私が使った問題集を挙げておきます。授業の予習や課題として、教科書・4STEP・New Action Legend、それから高2の後半くらいからは授業も総演習になり、それ用に買わされたのが『ニューグローバルマーチ 数学Ⅰ+A+Ⅱ+B』(東京書籍)と『実戦 数学重要問題集ーー数学Ⅰ・A・Ⅱ・B(文系)』(数研出版)です。これに加え、自習用として購入し、やっていたのが『文系の数学 実戦力向上編』(河合出版)と『数学ⅠAⅡB 上級問題精講』(旺文社)です。これらは高2の冬くらいから買ってやっていました。高3の直前期の授業では、学校の先生が難関代受験者用に作ってくれた問題冊子(100題ありました)が配布されたので、それをやりました。高1・高2では学校の任意の発展課題もやりましたし、高二の時の休み時間では東北大や京大の過去問にも手出ししました。こうして振り返ると結構やってますね、自分でもビックリです。ただ、私のやり方はかなり乱雑というか何というか(あまり精緻に計画立てて進めた記憶がない)だったので、参考にならないかもしれません。ちなみに、上級問題精講は、私がやった数学の問題集の中では一番お気に入りです。 ⑸ 余談  最後に余談ですが、記憶や学習に関することについて興味があれば、鈴木宏昭『私たちはどう学んでいるのか 創発から見る認知の変化』(ちくまプリマー新書・2022年)や、信原幸弘『「覚える」と「わかる」 知の仕組みとその可能性』(ちくまプリマー新書・2022年)など読んでみると面白いかもしれません。どちらも刊行の新しいものである故、今は読んでる暇がないかもしれないので、受験が終わった後にでもぜひ。16:Te86,お答えします! まずは、数学 やはり東工大数学は大学入試有数の難しいセットが毎年のように立ちはだかります。 この強敵と戦う場合、市販の参考書としてはフォーカスゴールドがダントツでオススメです。教科書レベルをしっかり身につけていれば取り組めるので、これをマスターするだけでものすごく合格への距離を詰められます。 また、東工大は微積分などの解析系の問題が頻出なので、「微積分 基礎の極意(大学への数学)」を持っておくと安心です。わかりやすく、役立つ知識が目白押しなので、これもオススメ。 ここまでを、高2の終わりまでに一通り終わらせたいですね。 高3になったら、もっぱら問題演習です。河合塾の理系数学の良問プラチカや、やさしい理系数学など、大学の過去問を散りばめた難しめの問題集を1つ決めて、やりきりましょう。 終わり次第過去問演習に入ります。高3の秋から始めたいですね。東工大の数学はそこまで奇抜な出題はされず、東大に似た部分も多いので、東大理系数学の過去問も効果があるでしょう。大事な東工大の過去問は冬まで取っておいた方がいいです。駿台や河合塾の東工大模試の過去問を集めた実戦問題集も材料としてありますので、適宜使うと盤石です。 英語については、ごく標準的な難易度ですが、長文の語数がかなり多いので、体力をつけていかなかればなりません。速読英単語の必修編やシステム英単語など、王道の単語帳を使ってガッチリ語彙力をつけましょう。これは今すぐにでも始めていきたいですね。そして高2の終わりまでにマスターし、高3は確認のために使っていくといいと思います。もし余裕があれば、速読英単語の上級編や、鉄壁を使っても良いと思いますが、そこまでしなくてもいいと思います。 肝心の長文対策としては、大手の予備校などに入ってそこの問題集を使っていくのが理想ですが、市販の問題集で対策していくならやっておきたい英語長文シリーズがオススメですね。最終的に1000まで行きたいところです。 英作文対策は、竹岡広信先生の著作を信頼すると良いと思います。「英作文が面白いほどかける本」や「ドラゴンイングリッシュ」などですね。十分な力がつきます。 最後に理科ですが、教科書レベルが固まっているなら、重要問題集がとてもオススメです。始める時期は高2の冬から高3の頭のどこかにしたいですね。もし元々得意なら、難問題の系統とその解き方物理や、化学の新演習などを使っていきたいところですが、これを使う人は僕が何を言おうと使うと思うのでお任せします。 重要問題集が終わった時点で、十分な実力がついていると言えるので、過去問にうつってしまっていいです。 基本的に、合格の保証に最も近いのは、その大学の過去問で十分な点数を取れることです。模試の偏差値などは、人によって高く出たり低く出たりするのであまり振り回されないように。 自分がどのくらい頑張ってるか、とかは気にすればするほど頑張れなくなるので、目の前の問題に集中していきましょう。 冷静に進みましょう。17: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。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-6","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/xmlqqjx3","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":["「","真解法への道数学","」の検索結果"]}],["$","div",null,{"className":"border-b-2 mb-2"}],["$","div",null,{"className":"mb-4","children":["$","div",null,{"className":"divide-y","children":[["$","div",null,{"children":["$","$L7",null,{"href":"/advice/q1JeaoEBTqPwDZPuO47S","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1 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mb-1","children":"もう試験も近いんですよね。\nそれならネット上で相談している暇はありません。親や先生や場合によっては病院に行くことも辞さない覚悟で、全力で自分に向き合ってください。\nアドバイスの一つ目は、不安を言葉にすること、それを人に話すこと。そうすれば、その不安が自分だけではないことも分かるし、周りからのプレッシャーだと思っていることが、実は自分が自分にプレッシャーをかけていることだと気づきます。\nアドバイスの二つ目は、受験にドーピングはないこと。心を落ち着かせる物理的な方法はいくらでもあります。心の不安定さは、長期的に解消していくしかありませんが、数年かかると思ってください。受験までの短い期間であれば、薬を使うこともじさないでしょう。精神安定剤をのんでいて恥ずかしいのと、落ちるのはどっちがましですか?\n私は、センター試験で失敗をして、模試どころか、授業も受けられない精神状態になりました。入試も精神安定剤を飲みながら受けました。その後数年は、精神的な発作が時々起きています。しかし、親や先生に速やかに相談して、病院にすぐ行き、自分の精神を害するもの(模試や授業)を極力排して、試験に望んだおかげで、入試はとても安定した気持ちで受けれました。薬は自分が思う何倍も効いてくれたようです。\nおそらく、あなたは私ほどはひどくないでしょう。これから真剣に向き合えば、必ず試験までには乗り越えられます。\nそれでもどうしても、頭が真っ白になる場合に備えて、黙想の練習をしましょう。1日に数回、五分間、全く何も考えない練習をしてください。頭の中で「何も考えない...」と考えるのもなしです。とにかく何も頭に浮かんでこないように頭を空っぽにするように練習しましょう。そして、試験中頭が真っ白になったら、それを思い出して実践しましょう。自然と落ちつきます。\n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 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"早慶法学部の英語について"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんばんは。\n早慶用の英単語帳を使うよりも、シス単(キクタンはよく知らないのでなんとも)とかを完璧にした方が合格には近くなります。\n\n質問者さんは英語が苦手なのですよね。\n \n現在使ってる単語帳は完璧に仕上がりましたか?\nもし仕上がってるなら無視して構いません。\n結構受験生でも誤解をされてる人が多いのですが、シス単やターゲットを完璧にする前に早慶用の単語帳に手を出すのは言語道断です。\n\n早慶用の英単語帳はそもそも英語が得意な人がさらに伸ばすために使うものと考えてください。\nあくまでプラスα。\n\nまた、もし質問者さんが仕上がっているとしても苦手なのでしたら他の部分に穴があるはず。\n新しいものをやる前に文法や解釈などの基礎標準を仕上げてください。\n\nまた、早慶用の単語帳をやるのは秋以降で構わないとも思うので、今手を出す必要はないでしょう。"}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"計算練習した方がいい分野"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは。勉強お疲れ様です。\n「計算練習」をひたすらにやれ!という分野であれば、間違いなく微分積分です。ですが、私が次に推したいのは実は「複素平面」の練習なのです…。\n\n微分積分について\n理系の受験数学で、出ないことはない!と言い張れるくらいにはめっちゃ出ます。ほんとうに。\n必ず出る分野ならば、そこは「早く解く」ことができて、さらに「確実に正解する」ことができることが大事ですよね。「早く解く」、「確実に正解する」ともなれば、それに必要なのは計算練習です。微分、積分の練習については以下に記す通りにやるのがオススメです。\n\n微分の練習\n①時間制限を設けて、スラスラ微分する。\n(現時点の自分の全速力でかかった時間×0.8で設定してみてください。間に合うまで頑張りましょう。)\n②微分後(導関数)の形を覚えてしまう。\n(積分でめっちゃ役に立つんです。「微分形の接触(f(g)g'の形)」の際に、「これ、gの微分形じゃん!」ってすぐに見抜けるようになるのです。)\n\n積分の練習\n☆手を動かす前に頭で考える。 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","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":"私はわかる問題も1回目はとりあえず手を動かして解いていました。\n意外と最初考えた方針が違っていたり、途中の計算過程で工夫できるところがあったりするので一旦は解いてみると良いと思います。(2回目は特にそういう必要はないです)\n\n1度合った問題でも、時間をかけてやっと解法に辿り着いたような場合は2回目も解くと良いと思います。\nまた、応用問題を解く中で基礎の復習と定着はできるので、focus goldを何周もしなくてはならないと気負う必要も無いかと思います。\n\n1対1はさっと復習ができるので持っておいて損ではないですし、入試標準レベルに達するにはベストな問題集だと思います。\n解法も綺麗なので、参考になる面も多いです。\n\nまた、次の問題集としては、月刊大学への数学あるいは新数学演習をおすすめします。\n\n月刊大学への数学は月ごとにテーマ(単元)が決まっており、それに関する演習問題(入試標準レベルが中心)が数多く載せられているので、これを毎月やっていれば演習量が確保でき、実力もつきます。個人的には、大数模試の最難関理系コースもおすすめです。難易度も適当で、時間制限もあるので入試の練習になります。\n\n新数学演習は難易度が高めです。\n問題量もわりと多いので、演習を積めます。\n難易度的には入試やや難レベルが中心です。\n\nあとは過去問です\n聖文新社から50ヶ年分が出ていましたが、コロナで倒産してしまったのでAmazonなら手に入るかもしれません。\n駿台の東大の数学25ヵ年でも十分だと思います。\n\n個人的には、模試のような予備校が作る問題と入試問題では毛色が違うので、入試問題メインで解いた方が良いと思います。(おすすめした問題集は全て入試問題から取っている問題集です)\n余裕があれば、東大へのパスポートなどで東大実戦などの過去問をやってみれば良いのではないでしょうか。\n\nfocus goldで基礎が固まっているなら、応用もわりとスラスラいくと思うので、是非頑張ってください!\n\n\n\n\n\n\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":[]}],["$","path","1",{"d":"M12 6c1.1 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"数学の勉強"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんばんは、名古屋大学医学部医学科のメイメイといいます。\n\n数学の勉強法についてですね。\n①解法を音読しろ\nこれはちょっとよく分からないですね。音読しながら文章を理解出来ればいいのですが、音読する方に意識が向いてしまってむしろ非効率な気がします。\n音読はしないでいいので、解説の1個1個の文章が何を言っているのか、常に考えながら解説を読みましょう。\n\n②問題を見て1分で分からなかったら答え見ろ\nこれは一理あります。変に自力で解くことにこだわって30分も悩んで結局間違えるくらいなら、ちゃちゃっと答え見て、「あーそういう見方もあるんだ」「あの公式はこういう時に使えるのか」という新たな発見に繋げた方がいいです。\nさすがに1分は大げさですが、僕も5分頭で考えて方針が立たなかったら諦めて答えみてました。\n\nどちらにせよ数学を伸ばすのには完全な理解が必要です。「どうしてこの公式を使うのか?」「この式は何をやっているのか?」というのを自分で説明できるようになりましょう。数学が苦手な人はこの意識をせず、闇雲に公式を使っているイメージがあります。\n\nまと、公式の導出や定義の再確認をしてみるといいです。数1の初めの方だと公式ぽい公式がないので実感が湧かないかもしれませんが、真の理解のためには自分の使う式や数学用語がどんな意味を持っているかを知りましょう。細かい減点がなくなります。\n\n自分はこれらをきっちりやって、数学の模試で順位1桁をキープし続けました。\n文系の場合、数学ができるというのはアドバンテージでしかないので、得意科目にまでしちゃえるよう頑張ってください👍"}],["$","div",null,{"className":"flex 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