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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":[["$","div",null,{"className":"flex-1","children":[["$","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":"微積計算をどれ程できればいいのか。"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"青チャートの計算問題が全て出来れば十分でしょう。\nmarchレベルは、正直知りません。\n過去問やればわかると思いますが、それを知ってもさほど意味はないと思います。\n\n質問者様の到達したい目標レベルが早慶、東工大なのですよね。\nそのレベル目指してファイトです。\n秋に模試の判定がヤバいなら、その時に考え直しましょう。\n\nあと、数Ⅱまでの微積の正確さやスピードを試すには、センターの過去問がもってこいです。\n\n数Ⅲの計算練習にもっと薄くて取り組みやすいテキストを求めるなら、駿台が出している「数学Ⅲ カルキュール」はどうでしょうか。\nこれが簡単だと感じるなら、相当基礎は身についているはずなので、実践的な演習を通じて補完していけばいいでしょう。"}],["$","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 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"理３又は京医の二次物理には、微積物理は必要？"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"名大医学部の者です。\n\n僕は名大入試の本番196/200でしたが、微積物理は使っていませんでした。（易化した年なので東大京大に比べたらずいぶん簡単ですが）\n結論僕は大学受験の物理で微積を用いる必要はないと思います。浪人時に河合塾の近畿トップ講師に習っていましたがその方も微積物理はいらないと言われていました。\nもちろん微積で物理を理解することが深い理解への一助となることは間違いありません。しかしその能力が大学受験で問われることは今はほぼありません（昔は京大や東大の後期でそのような問題も出たことがあったようですが）。河合の講師の方は全ての教科で合格ラインが取れるようになって物理でさらに得点を安定させたい人やよほどやることがない人だけが微積物理に手を出して良いと言われてました。\n主さんはまだ高2とのことですので、微積物理やろうと思えばやれる時間はあると思いますが、焦って微積物理をする必要はないと個人的にも思います。\n補足として、矛盾するようですが、微積の考え方自体は大学受験でも役立ちます。例えば、ファラデーの電磁誘導の法則など電磁誘導関連の難問ではライプニッツの記号を用いることがそれなりにあります。ただこれは微積物理を完璧に理解していなくとも、加速度は速度を微分したものである、くらいの基本的なことがしっかり理解できていれば対応できる範囲内です。"}],["$","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":[["$","div",null,{"className":"mb-1","children":"微積物理を完璧にするのにかかる時間"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"大学受験の段階では連続関数や微分や積分の厳密な定義はあまり要求されません。微分方程式を解けるようになることが物理では重要なので、それを使用できるようになるにはそこまで時間はかからないと思います。\nまだ微分積分を未習なら1年程度である程度の問題はスラスラ解けるようにると思います。既に微分積分を学習しているなら半年ほどで理解し問題が解けるレベルになると思います。\nただ、物理と一概にいってもどこまで学習するのかによって学習期間は変わってくると思います。例えば大学受験レベルの力学、電磁気学、熱力学なら先ほど言ったような期間で学べると思いますが、もっと先取りしたいのであればさらに時間がかかります。\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 4 4 4 4-1.79 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