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14:Te54,初めまして。北海道大学に在籍するものです。受験生の時数学をかなり得意としていました。今年の北大数学はびっくりするほど簡単でしたが、満点でした。そのくらい数学は好きです。

高2でそのペースなら早いと言いたいところですが、東工大志望なら並んでる感じですかね。質問者様の他科目の学力が分かりませんからなんとも言えませんが、どちらにせよ私は3Cを進めることをおすすめします。先取りしましょう。

私の考えですが、数学はまず広く終わらせてから応用に入るべきです。解法云々の話もありますが、先に終わらせておくとその基礎に触れる機会が増えます。東工大レベルなら基礎は差がつかないだろって思うかもしれませんが、意外とつくものだと思いますよ。確かにみんな解けるかもしれませんが、例えば解くまでの時間、解放が思いつくまでの時間に差がつきます。色んなところで言われてうんざりだと思いますが、基礎が本当に大事です。

また、私も受験生の時、東工大の問題に興味があったので11年分だけやりました。まず微積がめっちゃ出ますよね。しかも計算必要で結構汚い感じのやつ。あれはあれのための演習をしないと結構厳しいです。早めに微積の対策にはいるためにも、3Cはやったほうが良いと思います。

話は変わりますが、全統で65となると、基礎で落としている問題もありますよね。計算ミスとか。例えば計算ミスはケアレスミスだからで済ませる人がいますが、あれは勿体ないですね。微分計算で少し間違えてケアレスミスする人はその問題以外でも微分をミスります。結局その分野特有の計算みたいなのがあるじゃないですか。例えばe^(2x)を微分した時に2をおろすとか。一次独立なふたつのベクトルを比較して置いてた文字の数値を決定する操作とか。そういう特有かつ典型の計算はやればやるほどミスしなくなるものです。それでもミスしてしまうものをケアレスミスと呼んでください。

夏は3Cも進めて欲しいですが、1A2Bのフォーカスゴールドもまた取り組んでください。応用ではなく、基礎です。厳しいことを言いますが、「終えた」のであればもう少し偏差値が高くなるはずです（もちろん受けた時期とズレているとは思いますが）。

整数確率あたりは東工大でもかなり頻出だった記憶です。難しいですよね、この分野。Aがいちばん難しいと言われる所以ですね（整数は消えたのかな？）。この辺は触れた問題の数がものをいいます。正直センスなところも強いのは事実なのですが、ここは演習量で差を埋められますよ。

ただ、難しい問題に取り組みたいと思うかもしれません。私もそうでしたから。塾には通っているのでしょうか。分かりませんが、夏に1度数学の何度の高い講習を受けて見るのも良いかもしれませんね。おすすめです。

最後に、私も東工大行けることなら行きたかったです。ただ理科の学力が著しく足りてなかったため地元の北大にしました。理科は舐めちゃいかんです(笑)。

頑張ってくださいね。合格をお祈りしています。15:Tc0e,今年度の共通テストで数B範囲が満点だった者です。統計と推測という分野は仕組みが難解なわけではなく、応用問題の幅もほとんどありません。共通テストで出題されるのは、せいぜい教科書傍用問題集の最終問題レベルです。しかし、この分野は他の分野と少し系統が異なり数学が得意な人でもこの分野だけはあまり得意でないという人も見受けられます。この分野は他の分野と比べて、本質や仕組みの理解、解法や公式の暗記が重要になってきます。

　そのため、今の時期に１週しておくことをお勧めします。短期集中で取り組めば1週間前後で大方完成するはずです。その後は模試の前日に軽く確認し、もし間違えた問題があればその復習をする程度で問題ないでしょう。
　
　共通テストにおける数Bの選択問題は年度によっては、他と比べて数列の難易度が高かったり、ベクトルの難易度が低かったりします。そのため、数列、統計的な推測、ベクトル、平面上の曲線と複素数平面のすべての分野を完成させておくことが好ましいです。ある程度どの分野を選択するのかは決めておいた方が良いですが、最終決定はその場でくらいの気持ちでいてください。そこで数B全範囲の早期に履修しておく安心です。また、先に統計と推測を終わらせておくことで模試でも早い段階からかなりの高得点が狙えます。模試で早いうちから良い判定を取っておくことは心に余裕をもって受験生生活をおくることに繋がります。

　東京大学を目指す生徒にとって共通テストで高得点を取ることは最低ラインになることと思います。数Bは大問選びを間違いなく行れば満点を取ることも容易のはずです。しかも統計的な推測は先述の通り応用問題にも幅があまりなく、最も満点が狙いやすい分野であると考えます。確かに数Ⅲは非常におもいため焦る気持ちもわかりますが、後回しにして後であわてるよりは時間のあるこのタイミングで完成させておいた方が良いです。現時点で数ⅡBを終わらせることのできているあなたなら春休み中に完成させることができると思いますよ。また、一度数Ⅲに入った後に数Bに戻るというのは余計に負担が重くなるような気がしています。

　ちなみに数Cは終わっていますか？数Cの知識は数Ⅲを学習していくうえで必要になりますので数Cも可能な限り早めに終わらせてください。今後の数学の学習スケジュールは数B（統計的な推測）⇒数C⇒数Ⅲで進めるとよいでしょう。数Ⅲに遅くとも夏休み前までには入ることのできる学習計画を立てると良いと考えます。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":["「","東北大 数学 傾向","」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/zk1O5vpKXC6QPIjA7RX2","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"1A2Bの習熟度"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"東北大の文系数学は、基礎的なレベルがしっかりとみについていれば高得点は取れてしまいます。その意味では良問揃いで基礎レベルの指標にはなりますが、正直東大とは天と地の差があります。\n\n\nイメージで言えば、東北大の数学は青チャートレベルです。\n質問者さんは、非常に良いペースで勉強を進められていると思いますので、東大レベルに引き上げるには、赤チャート・一対一対応・過去問（東京一工早慶、私立医等）がオススメです。\n\n\n基礎があるのは当たり前中の当たり前、常に応用力を求められていることを意識して上記テキストに取り組んで欲しいところです。また、解けなくていい問題はこの世に存在していないという気持ちで残りの受験までも勉強してほしいところです。\n\n\n参考になれば幸いです。\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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 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items-center py-4","children":[["$","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":"数学　標準〜難問題ができない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！\n\n少し難しくなると解けない、というのはよくわかります。私もそうでした。私も簡単な問題は得意だったのですが、難易度が上がると全然解けなくなりました。なのでお気持ちはよくわかります。\n\n私の場合は、難しい問題を解いて慣れようと思い、新演習を買ってやりました。新演習の難しい問題は東工大レベルの問題になります。ですが、簡単な問題も含まれており、半分ほどは標準レベルの問題になります。なので、質問者様のレベルだと全く解けないということはないと思います。\nですので、新演習のような難しめの問題集をやってみては如何でしょうか。ただ、新演習は解説が割とあっさりしています。詳しめの解答・解説が欲しいならばやさしい理系数学などのような問題集の方が良いかと思います。私の場合は、解説が詳しいと読むのが面倒だったので、新演習が合っていました。新演習は一対一と同じ出版社なので、一対一と解答のテイストは似ています。\nまた、これも東京出版ですが、大学への数学もオススメです。大学への数学は月刊の雑誌の形式となっており、月によって扱う分野が変わります。例えば2021年の7月号は座標平面を主に扱っています。8月号は数列を取り扱ってます。このように、月によって扱う分野が変わるので、苦手な分野の号を買ってみても良いかもしれません。例えば、確率が苦手なら、確率が扱われている月のものを買います。苦手な分野の強化にはうってつけの参考書・問題集だと個人的には思います。\n\n私は難しい問題に慣れようとして、難しい問題を解いていったわけですが、この方法で数学の偏差値は10以上上がりました。勿論、色んなやり方があると思いますので、私の方法はあくまでそのうちの一つの方法です。この方法を試してみて、違うなと思ったらやめていただいて良いです。また、参考書・問題集の好き・嫌いもあると思うので、書店で色々見てから購入した方が良いと思います。\n\n東工大の数学は難しいですが、配点が高いため最も重要な教科と言えます。頑張って下さい！！"}],["$","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":"数学の試験範囲"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"東工大1年の者です。勉強お疲れ様です。\n\n私は早稲田の基幹理工も合格しているので、早稲田の数学を中心にお答えします。\n\n早稲田の基幹理工は、毎年、数3の微積分が出題されています。あとは、ベクトルと数列と確率が頻出ですね。\n\n大体の難関大は、数3を中心に出題します。\n\nそして、数3とは絡みづらい分野である、場合の数、確率や数列、ベクトルも題材になることが多いです。\n\nしかし、ここで注意しておきたいのは、大体の難関大が数3を中心に出題する理由は、数3が結局数ⅠAⅡBの内容も内包しているからであるということです。\n\n決して数3以外の勉強を疎かにしていいという訳ではありません。\n\n微積分の計算の最中に二次関数や三角関数、指数対数がでてきたりするわけですね。\n\n言ってしまえば、数Aの図形分野とデータの分析、確率統計はほとんどの大学で出題されません。特に、データの分析と確率統計については、出題しないことが明言されていることもあります。\n\n数Aの図形分野は、チェバの定理やメネラウスの定理、方べきの定理等を使える状況が限定的すぎることが原因なのか、あまり出題されません。と言ってもたまに出題されますが。\n\n以上から、ⅠAⅡBの分野はほぼ全て出題されると思ってもらって結構です。\n\n唯一、データの分析と確率統計は、滅多に出ないので、重視する必要はありません。\n\nまだ高一ですし、苦手を作らないように、全範囲出題されると思って勉強振るのが得策だと思います。\n\n頑張ってください。応援しています。"}],["$","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":"統計と推測はやるべき？"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは。統計と推測の分野の学習ということですが、質問者様のご意見のように、東大の2次試験に出題される可能性はとても低いです。私の記憶だと、過去25年間は1度も出題されていません。なので、統計と推測は共通テスト直前に取り組む程度で十分だと思います。\n\n　実際は、共通テストでは選択問題として出題されるので、全く対策をしない人も多数いると思います。ですが、多くの年において統計と推測の問題は、二次曲線や複素数平面の問題と比べると解きやすいことが多いです。理由としては、\n・公式などを適切に理解し暗記していれば、解き方がほとんどワンパターンである\nということが挙げられます。ですので、本番高得点を狙う場合は、直前に解き方などを一通り理解して演習しておくことをおすすめします。（私は12月末まで統計と推測を選択するつもりはなかったのですが、共通テストの過去問の演習を進めていくうちに解きやすいことに気づき、1月に入ってから4日間ほど学習しました。学習量としては十分でした。）\n\n　質問者様のように、数学llBまでの学習がある程度終わっている場合は、数学lllの学習を進める方が効率的だと思います。理由はいくつかあるのですが、\n1. 東大の2次試験では数学lllで学習する内容から出題される大問が多い\n2. 数学lllを学習することで、計算力など数学に必要な力が養われ、その後数学lAllBの復習に戻った時に演習の効率が上がる\nということが挙げられます。\n\n　まず、1については、特に微分・積分の分野のが好んで出題されます。この分野に強くなれば、数学は高得点が期待されます。\n　\n　2については、数学lllの計算は数学lAllBCと比べるとかなり重いです。なので、lllの計算を工夫してすることや、計算量に慣れることで、lAllBCの演習をする時により短い時間で解けるようになることが期待されます。\n\n　ですので、自分で学習するときは、まず数学lllを仕上げてからその他の分野の復習をすることをおすすめします。（学校の進度に合わせて適宜復習をするのもありだと思います。）\n\n　新高校2年生で、質問者様のように数学llBの演習を進められているのはとても良いペースだと思います。各教科の戦略を立てて、ぜひ東大合格を勝ち取ってください！応援しています！"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$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 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"東工大志望の数学の参考書と過去問にかんする相談"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは。東工大工学院のプロトンです。勉強お疲れ様です。数学の過去問開始時期と戦略について回答したいと思います。\n\nまず、過去問開始時期についてですが、10月~11月に本格的に開始できるのが理想です。東工大入試にはご存知かと思いますが共通テスト一次選抜と二次選抜があります。共通テストの結果は、志願者倍率が4倍を超えた場合に適用されますが、そのラインは600点前後と少々低めです。(2024年度は557点でした。)共通テストにあまり時間を割く必要がない分、二次対策に時間を回すことができます。それ故、過去問を始めるのは少し遅れても問題無いと思います。\n\nただ、過去問に書かれている「傾向」みたいなところは見ておいた方がいいと思います。20カ年分の過去問を持っているのであれば過去20年の大問ごとにどの単元が出たか表にまとまっていると思います。数3からの出題が多いですよね。\n\n3つの戦略の中であれば、戦略③が適切だと思います。ただ、ハイレベル完全攻略は数3を先にやって欲しいです。傾向として、毎年5題中3~4題は数3を絡めた問題が出題されます。特に、極限と微分積分は必ず出ると思うので、確実にやってください。それと平行して過去問を少しずつでいいのでやってみましょう。過去問をやる時に意識してほしいのは、問題の癖に慣れることです。近年傾向が変わりつつあるので、一概には言えませんが、例えば極限を求める問題はハサミうちを使うことが多い、など分かります。\n\n長くなりましたが、焦る必要はありません。まだまだ時間はあります。最後まで諦めずに頑張ってくださいね。"}],["$","div",null,{"className":"flex 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\nオープン　118/300\n当日　180/300くらい？\n\n近年の科学大(旧東工大)の数学は化け物みたいな問題が少なくなって、さらに大問ごとの小問化が進んでいるので、標準までしっかり抑えられていれば合格ラインにのせられます。(26年度入試でこの傾向が続くかは保証は出来ませんが、僕はこれに当日救われました。)だから、焦らず勉強を楽しんでください。(一応焦ってね！)数学は試験日程の一番最初で1番重要な科目ってのが怖いよねー😱\n\nどうでもいいですが、僕も古典苦手です！笑\n足切りにかからなきゃいいもんねー😜\n英数物化はちゃんと取ってね！！\n\n参考になれば幸いです！ありがとうございました。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 4v2h16v-2c0-2.66-5.33-4-8-4z","children":[]}]]],"style":{"color":"$undefined"},"height":16,"width":16,"xmlns":"http://www.w3.org/2000/svg"}],["$","div",null,{"className":"text-xs","children":["東京工業大学物質理工学院"," 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"慶應義塾大学の数学"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"結論から言うとやった方がいいです。理由は大きく分けて２つあります。\n\n1つ目は、単純に出てもおかしくないからです。自分の経験として、過去25年間出ていなかった範囲が本番に出てパニックになったことがあります。その問題は教科書レベルだったので、ちゃんとやっていたらラッキー問題でした。ましてや、今年は色々変化がある年ですから1問くらい全く違う問題が出てもおかしくありません。もし、三角関数などの問題が出た場合、周りのライバルは国立のために対策しているため、余裕で解いてくる可能性が高いです。そのとき、自分だけ対策していなかったら、かなり合格から遠ざかります。\n\n2つ目は、複合問題として出る場合があるからです。特に、三角関数はベクトルの問題などと併せて出題されるケースがよくあります。三角関数を使えれば、半分の時間で解けたのに…なんてこともありますので、全範囲ある程度は抑えておくべきだと思います。\n\nただ、頻出範囲が出る可能性が高いのは事実なので、同じくらいの割合でその他範囲をやる必要はないです。\n0にはせず、基本問題レベルは解けるようにしておくのがベターかもしれません。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":"数学が伸びない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"東京工業大学（現東京科学大学）物質理工学院のゆきです！\n\n試験のとき緊張しますよね～\n\n結論としては、普段の勉強のときは間違えた問題に注目するけど、試験のときは解ける問題に注目しよう、です。\n\n共テとかだとまた話が変わってくるかもしれませんが、2次試験の合格最低点は上位校だと6~7割くらいが多く、東工大に至っては5割近いです。\n\nそうすると、大問1つ丸々解けずとも、他がある程度解ければ充分合格圏内です。\n\nそれよりも、解けない問題に時間をかけ過ぎて、他の解けるはずの問題を解く時間がなくなる方が大問題です。もっと言えば、追い詰められやすいタイプの人だと、試験の続行自体難しくなるケースもあります。\n\nちょっと怖い話します。これは私の東工大の入試本番での話なのですが、数学の時間に突如後ろの席からうめき声がして、しばらくすると大勢の人の足音とともに消えていきました…\n\n後ろを向くとカンニングになるのでそのときは確認できなかったのですが、どうもその後ろの人は救急車に運ばれたらしいです。体調不良の可能性もありますが、うめき声の感じからして、少なからずメンタルの影響もあったんじゃないかなと思います。\n\n…これは極端な例ですが、とにかく全部解けないとこに比べれば、大問の1つくらい些細なものです。\n\nあとは、「自分が解けないんだから他の人も解けないはずだ」みたいな考え方は大事だと思います。あと謎の自信もある程度持ちましょう。\n\nちなみに先程例に挙げた入試の際、私は実は数学で5割取れてなかったことが後日の得点開示で分かりました。しかし当日はそんなことつゆ知らず、他の科目でいつも通り試験に挑み、想定+αの点が取れて合格しました。なので、意外とどうにかなるんです。\n\nただし、普段の勉強にこのノリを持ち込むとただの勉強不足人間が爆誕するので、上手く普段と試験とで切り替えられるようにしましょう。\n\n普段の演習に関しては、大問の始めから全く手がつけられなかったり、逆に正答率が高すぎて（8~9割とか）あまり意味がなかったりしなければ、好みの参考書をどんどん進めれば良いと思います。ちなみに私は学校で配られた問題集+週1の予備校の課題+過去問集で済ませてました。\n\n以上、参考になれば！"}],["$","div",null,{"className":"flex 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