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mb-4","children":[["$","div","advice-part-0",{"children":[null,"平面上の曲線、複素数平面、関数と極限、微積と微積の応用が数学Ⅲのメインな内容です。\nこれらを理解するために数学ⅡBまでの数学を理解しておく必要があります。\nまだ数Ⅱの微積すらやっていないなら、数Ⅱ範囲を独学するか授業で扱ってからでないと、数Ⅲをやるべきではないです。\n独学するなら王道のチャートがベターだと思います。レベルに合わせて、白、黄、青、赤を選びましょう。解説が欲しければ、黄色いブックカバーの本を漁ってみるといいと思います。"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":null,"adviserName":"myhfs1","adviserDepartment":"慶應義塾大学環境情報学部","adviceId":"o5MTj6ntXXZqeAsL","numberOfFan":263,"clipsAvg":7.03021978021978,"adviceRateAvg":4.2,"profile":"頑張りましょう。環境情報学部、体育会に所属してます。\n塾講師で高3、高2、中3を指導していました。高3は第1志望の大学に合格しました。\n小手先のテクニックだけでなく、勉強への取り組み方や目標設定、勉強プロセスなども重視しています。\nざっくばらんに質問メッセージしてください。返信します。"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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20:00"}]]}],["$","div",null,{"className":"text-xs whitespace-pre-wrap","children":"ありがとうございました。"}]]}]]}]]}]}],["$","h1",null,{"className":"text-xl font-semibold","children":"よく一緒に読まれている人気の回答"}],["$","div",null,{"className":"mb-8","children":["$","div",null,{"className":"divide-y","children":[["$","div",null,{"children":["$","$L7",null,{"href":"/advice/KFJ2MYMBTqPwDZPuNN3b","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学ⅢとⅠAⅡBの応用について"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは!\n\n結論から言いますと、数3が完全に1a2bの全ての範囲の復習になるかと言いますと、そうとはいえません。数3は数1,2の復習にはなると思うので、数3をしながら数1,2の基本が足りないと思ったらそこに振り返る、というのがベストだと思います。特に、数3は数Aの内容をあまり含んでいません(含むとしても、確率の一部程度)。ですので、数3をメインでしつつ、数Aの復習はした方がいいと思います。\n\nまた、数Bに関してですが、数列は極限という単元でかなり復習できます。しかし、ベクトルに関してはほぼほぼ扱いませんので、ベクトルは定期的にやっていきましょう。図形的な分野を中心にやるといいと思います。\n\n数3はかなり難しく、骨のある分野が多いです。微積分は特に量が多く、つまづく部分も多いと思います!ですので、できるだけ数3は早くから取り組み、時間をかけて定着させていきましょう。\n\nここまでをまとめると、\n・数3は数1,2、Aの確率の一部、数列の復習となる。\n・数Aの確率、整数は含んでおらず、定着に時間がかかるため、別でやっておくのがよい。\n・数Bのベクトルもほぼほぼ含んでいないので、図形的な分野中心にやっておくのがよい。\nです!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 24","className":"text-subPrimary mr-1","children":["$undefined",[["$","path","0",{"fill":"none","d":"M0 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"先取り数学の教材"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"まずは焦らずⅠAⅠⅠBをやりましょう。最低でも青チャートレベルの問題の9割はスラスラ解ける程度になるまでは数Ⅲには触れなくていいです。\n(もし既にそのレベルに到達してる場合は※まで飛ばして読んでください)\n\n数Ⅲは最初こそ難しいものの慣れてしまえばパターンが少ないため解きやすく、僕も僕の周りもⅠAが1番難しく次にⅠⅠB、1番簡単なのは数Ⅲと言ってます。\nちなみに数学が得意な人ほどこのように言う傾向が強いです。\n\n数学がある程度得意なのであれば数Ⅲはさほど苦戦しません。それよりベクトルや整数などの曲者の方が苦戦する人が多いです。\n\n2次試験にも数ⅠAⅠⅠBは出るので先にそちらを極めてから数Ⅲに入ることをおすすめします。\n\n※数Ⅲをやるのであれば個人的にはFocus Goldをおすすめします。\n僕が現役時代使ってた問題集なので偏った意見になってしまうかもしれませんが、解説が丁寧で各単元の頭の部分に重要事項がまとめてあり、独学で勉強するのであれば、かなりオススメです。\n\nそれとウェブサイトで積分ガチャと調べると出てくるサイトがあります。\n積分に入り積分の基礎を固めたいと思ったらこれを毎日やることをおすすめします。(4)までは東大を目指すのであれば解けるべき問題です。\n\n拙い文章ですみませんでした。\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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"いつまでに数3に入らなければいけないのか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんばんは!\n\n数3は、比較的暗記系の勉強が必要になると思います。ですので、理解せずともとりあえずこうやれば解ける、という感じで勉強を進められるならば数1A2Bの基礎をを一通り学んだら、それらの復習と並行して数3の基本的なことを教科書や青チャートで勉強し始めてもいいと思います。(独学でいけると思います)\n\nもし、しっかり理解しながらじゃないと問題は解けない、と思うなら数2あたりでやる、微分積分、三角関数あたりをひたすら深く理解して学校や塾で習う時を待ちましょう。自力で先に進めたい場合は青チャートか赤チャートがおすすめです。\n\nいつまでに始める、というのは難しいところですが、志望校が高いので高2の夏頃に入るのがいい気がします。高3の夏に全ての分野の学習が済んでいて、受験レベルの問題に取り掛かれることが望ましいので高3の夏休みより前にマスターできるように逆算してみてください。\n\n\n\n"}],["$","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 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"先取りの仕方"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"先取り学習、いい心がけですね。特に数学はやった分だけ伸びますので早め早めに終わらせましょう。\n\n先取りの仕方とのことですが一旦数3Cまで全部やっちゃいましょう。高校の先生に言えば数学3Cの教科書を貸してくれるだろうし、無理なら自分で買っても良いかもしれないです。\nとにかく全分野を一気に終わらせて、高校数学を俯瞰できるようになってから理解や問題演習に移った方が効果的かもしれません。\nというのも高校数学は数学3の微積がゴールです。そのための準備として数学1A2Bがあると言っても過言ではないです。数学2Bでしたら恒等式と部分分数分解とかがその範囲かと思いますがこれらは数学3の積分のためにやってます。\n指数関数・対数関数・三角関数も全部微積です。2次関数も微積に繋がります。全て微積のためです。\nですので一旦数3までやりましょう。チャートなら星2(コンパス2?)くらいの問題を一通り解けるくらいになったら次々進んじゃいましょう。\nその後でこれがこう繋がるのか、ここを押さえておくとあそこに繋がるのか、など有機的な学習で理解を深めていったほうが個人的には良いと思います。\n\n物理・化学に関しても基本的には同じでとりあえず全部やりましょう。リードα・セミナー・エクセル等の傍用問題集が渡されているのでしたら最も簡単な問題(A問題?必修問題?なんかそういう感じのやつ)を一通り終わらせて全体を俯瞰できるようにしてからもう一周としていけば理解が一層深まると思います。\n\n学問は勉強のように途切れてはいません。難関大になればなるほど、過去問にもその色が強く出ています。\n最近の東大や東工大の物理は従来の常識にはとらわれず、他分野複合問題がトレンドです。\nそこに対抗するにはこちらも分野を分断して学習するのではなく、最終的には全て繋がっていくのだという認識で学習していくのが実は一番早いかもしれません。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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items-center py-4","children":[["$","div",null,{"className":"flex-1","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。 \n(適当に手を動かすのは練習になりません。「この積分は、どの解法で解くのかな…?」「これだ!これならいける!」ってなるまでは手を動かしてはいけません。)\n\n呼吸をするように積分しましょう!\n(そのために微分の練習が不可欠です。)\n\n\n複素平面について\n実は受験で出たら確実に解けるランキング第1位なんじゃないか?って思っています。複素数の解き方には数パターンしかないんです。出題のされ方もパターン化され切っています。「あ〜こういう系ね。」と分かるくらいまで練習していれば、確実に大問1個分正解できてしまうんです。\n\n「青チャートが一対一になっていて演習量に不満がある」ということでしたが、複素平面に関しては安心してください。青チャートに載っていない解法の問題はおそらく出ません。青チャートの複素平面の問題を全て完璧に解けるように何周も練習することもオススメします!\n\n\n受験勉強って結構モチベ保つのしんどいですよね。好きなお菓子食べたりするといいですよ。それと、数学に飽きたらほかの勉強しちゃっていいですよ。ほかの勉強が飽きた後に数学に帰ってくればいいんです。\n数学の問題集にもいずれ飽きが来ると思います。そうなったら1度過去問に手をつけてみましょう。(〇進の過去問データベースおすすめ!)\n過去問演習が1番数学の中で楽しいですよ!"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"青チャートを使った数学の総復習のやり方"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは。\n私も高2の冬から3ヶ月で青チャートを用いてⅠAⅡBを総復習しました。\nまず自分の得意分野、苦手分野を書き出し、得意分野はエクササイズをやる、苦手分野は例題を解くなどというように単元ごとに分けてやるべきことを決めたら良いと思います。得意な分野の簡単な問題を解くのは時間がもったいないので上手く分けたら良いです。その後自分でペースをつくり、復習と同時並行で進めていったら良いと思います。\n\n以下私のやり方ですが、参考になれば幸いです。\n私は数学が苦手で得意分野、苦手分野もわからなかったので全ての単元でページの下にある練習問題を解き、できなかったら例題で確認するという感じで進めていました。ペースとしては1週間で1、2単元くらいです。なかなか自分でペースを作ってモチベーションを保つのは難しいと思うので誰かに予定を管理してもらったり、記録したりするのが良いと思います。\n間違えた問題はチェックをつけておき新しい単元を進めると同時に1週間前に間違えた問題を解き直していました。直しのペースは、少し忘れた頃にまた復習できるよう調節したら良いと思います。また間違えてしまった問題はまた1週間後に…といふうに進めていました。\n\n青チャート一周は時間がかかりますしなかなか大変ですが高3になって本格的に数Ⅲを始めるとⅠAⅡBに割く時間が減ってしまいます。この時期にⅠAⅡBの基礎ができていると高3で楽になるので頑張ってください。"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学IIIの予習・復習"}],["$","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数Ⅲは1A2Bと比べても重いので、なかなか進まないと思います。8月末までに予習は終わらせて基本的な問題はある程度解けるようになっていると良いと思います。\n数Ⅲは慣れが必要ですので、演習の時間は十分とって下さい。そう簡単に攻略できる分野ではありません。\n個人的には「微積分の極意」という本がオススメです。最初に計算問題が沢山あって、次に数3を解くにあたって、重要な知識が載っています。ここは休憩時間や暇な時に読んでください。最悪、読まなくても良いですが、読んだ方が良いと思います。最後に標準〜ちょい難 程度の典型問題が載っています。標準と言いましたが、最初は解けないと思います。私もほとんど解けませんでした(苦笑) しかし、何回も解いているうちに解けるようになります。ここはマスターして欲しいです。因みに、私が受験した東京理科の数学の問題で、この本に載っている類題が出ました。このように、いろいろな大学で出題されている問題ばかり載っているので、マスターして欲しいです。\nそれが終わると過去問をやりましょう。全く歯が立たないという問題はあまりないはずです。\n過去問を直前に取っておきたい人は新演習がオススメです。新演習は東工大よりも易しめの問題から東工大に出てもおかしくないようなレベルの問題が載っています。東工大の過去問と遜色ないレベルですので、やる価値はあると思います。\n東工大の数学は出る範囲がある程度決まっています。\n複素数、微積分、確率、整数などは頻出です。ですので、この辺りを重点的にやりましょう。\n\nコロナで夏休みが少なくなるかもしれませんが、やはり夏休みは受験に置いてとても重要な期間になると思います。体調管理に気をつけながら頑張って下さい!応援しています📣\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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"一橋志望参考書"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは!\n受験勉強お疲れ様です!!\n数学の勉強内容や量は、まずご自身の数学の得意不得意で大きく変わってきます。\n\nまず数学が得意な場合、チャートはもうそろそろ終えてもいいかな、と感じます。もちろん、苦手な単元の反復練習にあてるのは効果的ですが、数学が得意で、ある程度数学で稼げる自信があったり稼ぎたい、と思っているのなら、標準問題精講に加えてプラチカなどのハイレベルな問題集をガンガン進めても良いと思います。(かなりレベルが上がりますが上級問題精講なども、解法を学ぶうえでは効果的かと思います。)\n\n逆に数学が不得意な場合、今のままチャートや標準問題精講を続けて、確実に各大問の(1)を取れるようにしましょう。それだけで4割くらいの得点は見込めますし、部分点も含めたら5割越も十分狙えます。小問に分かれていない大問も例年出題されています。その場合は確実に部分点の取れる解答が書けるような練習を、過去問を通してやってもらえたらいいと思います。\n\nそして、単元別の勉強は効果的ですが、もしやるなら徹底的にやって、「もうこの単元の問題で怖いものはない!」くらいにしたいです。正直過去問をやり始めると同じ単元を腐るほどやることになるので、個人的にはそこまで必要でもないかな、と思います。苦手な単元があればチャートでしっかり基礎を固めれば良いと思います。\n\nそして少し先程にも書きましたが、数学の得意不得意に関わらず夏以降は過去問を時始めると思いますが、そこでは\n・時間管理\n・各大問の難易度の見極め\nを徹底してほしいと思います。\n本番ではよほど数学が得意でない限り、部分点を効率よくかき集める戦いになります。時間と難易度を自分でしっかり見極めて、取れうる最高の点数が取れるような練習をして欲しいと思います。\n\n一橋数学は文系なのに難易度が高く心が折れることもあると思いますが、きっと努力は実ります。めげずに頑張って続けてください。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":[["$","div",null,{"className":"mb-1","children":"数学の参考書ルート"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"お勧めするのは『数3の問題集に取り組むこと』です!\n\n理由は二つあります。\n❶数3の勉強は1A2Bの復習になるから\n数3は完全に新しい分野というわけではありません。今まで学んだことの延長上にあるので、逆に言うと数3の勉強はこれまでの復習にもなります。数3の予習を1人でやる事が苦にならないなら数3の予習を進めつつ、忘れていそうな内容は1A2Bに立ち返ってやるのがいいと思いますよ🙋\n\n❷数学を早めに完成させたほうがいいから\n京大を受けるとしたら他教科の完成度も高める必要があります。現時点でのリボくんさんの成績はわかりませんが、理科系科目のうち一教科は2年生の段階でかなり仕上げておく事をお勧めします(自分の場合は物理を2年生のうちに一通り仕上げ、3年は化学の勉強に費やした)。\n\nここからは小話ですが、優秀な質問者様ということで普段はあまりしないテクニカルな話をします。入試問題は平均点ある程度の点数に収まるように作成されますが、点数変動の大きい科目と小さい科目が存在すると思います。例えば数学や物理は部分点があるとはいえ、完答出来るか否かで点数が大きくブレます。逆に英語や化学、国語は前後の問題の繋がりがそこまで大きくないので完答か否かで点数のブレは大きくありません。この点数のブレは合格確率にも少なからず影響してきます。もう少しフランクに言うと合格ラインギリギリに乗る場合は数学を得点源にしているとコケた時に大変な事になる…って感じなので他の教科も満遍なく勉強できるように数3に移って早めに進めておくのをお勧めします🙆‍♂️"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数III 勉強法"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"東工大情報理工学院1年の者です。勉強お疲れ様です。\n\n貴方が私の後輩になるかもしれないことを嬉しく思います。\n\n私は、青チャートと上級問題精講で東工大情報理工学院に合格しています。初学は青チャートです。\n\n持論ですが、網羅系参考書であることと、初学者に優しくないことは両立しません。\n\nなぜなら、網羅系参考書ということは、受験に必要な知識が、超基礎的なものから、応用まで詰まっているということだからです。\n\nつまり、青チャートが初学者に優しくないと言っている方々は、単に青チャートの基礎の部分が完成していないのに、無闇矢鱈に応用問題に突き進んでいるだと思っています。\n\nむしろ、網羅系参考書ほど初学者に優しいものは無いです。基礎の部分から、それがどのような問題に生かされるのかまで教えてくれる訳ですから。\n\nというわけで、基礎問題精講はやらずに、最初から青チャートを使うことをおすすめします。\n\nただし、青チャートは、ひとつのつまずきを放置しておくと後で大変なことになるので、気になったことを答えてくれる人が必要です。\n\nそれは友人でもいいですし、先生でもいいですし、なんなら私でもいいです。\n\n一つ一つの問題を、答えを見なくても解ける状態にして次に進みましょう。\n\n青チャートの後に一対一対応をやるのは良いと思います。\n\n青チャートの応用問題を念入りに解説してくれているのが一対一対応というイメージです。もちろん同じ問題を扱っている訳では無いですが、考え方は同じものが多いです。\n\n一対一対応のあとは、最上級に難しい問題集をやりましょう。\n\nハイ完も選択肢のひとつだと思います。私は上級問題精講をやりました。\n\n以上になります。東工大志望ならば、英語もある程度頑張らなければいけないですし、物化も大変ですから、基礎問題精講で足踏みするよりは、いきなり青チャートをやってしまっていいと思います。ご参考までに。"}],["$","div",null,{"className":"flex 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