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14:Tbd8,はじめまして。
私も受験で数3を使いました。

大前提として、数3は発想力よりも教科書レベルの問題をいかに使いこなすかというところが大事です。極端な話、教科書に載っているあらゆるパターンの問題をすべて完璧に解けるようになれば入試のほとんどの問題が解けるのです。

質問を読んで学校で数3の授業を受けないことによる懸念点を2つ挙げます。
①塾の授業のみで必要な知識を網羅できるのか。
②数3の勉強時間が十分に取れるのか。

まず、①については塾の授業は基本的には頻出問題などを中心に演習を行うことが多いため、すべての内容を網羅できていない可能性があります。基礎の網羅的な勉強として学校の授業を受けることは有効だと思います。ただ、これに関しては塾の授業の方針や授業時間にも左右されるため、これまで受けてきた塾の授業を振り返ってみて塾のみでも内容に抜けがなさそうか判断してみてください。

次に②について。これまで定期テストに向けての勉強もしてきたと思います。定期テストの勉強は基礎的な内容を一通り確認し定着させることができるため、この時間が無くなるというのは望ましいことではないです。

ここまで学校の授業を受けない懸念点を書いてきましたが、学校の授業を受けることにおいて1つ気になったことがあります。高３で数3のある2類とありますが、数3を習い始めるのが3年生ということでよろしいでしょうか。その場合、東工大を目指す上ではかなり遅れをとっていると考えた方がいいと思います。東工大を目指す生徒いる多くの高校では2年生の後期には数3を始めています。私の高校も高2の前期に数3を始めて高３に入る頃にはほとんど終わっていました。そして高３の数学の授業はほとんど入試問題演習を行っていました。

もし、学校の授業では高３で数3を習い、塾ではもっと前から習うのであれば学校での授業は受けなくてもいいと思います。その代わり自分でもしっかりと演習量を確保してください。
一方で学校も塾も高３に入ってからしか数3を習わないのであれば、3年生に上がるまでに数学1A2Bを入試問題に取りかかれるようなレベルまで仕上げておくか、数3の予習をしておくかして3年生になったら学校と塾の両方で一気に数3を固めるのがいいような気がします。

①②の懸念点を考慮した上で学校と塾の授業進度によって判断してください。

まだまだこれから悩むこととあると思いますのでいつでも相談お待ちしております。勉強頑張ってください。15:Te64,受験勉強お疲れ様です。
結論から述べると、目的と段階によりますが、基礎問題精講と1対1シリーズの2冊で、基礎から標準レベルの、数学Ⅲの一通りの解法パターンは習得できる(※ただ基礎問題精講だけでは解法パターンは網羅できていないかな)と思いますし、一旦まず数Ⅲを一通り学習するというのであればそれで十分ですが、東工大を目指す上では別の観点から、多少馬力不足な気がします。また数Ⅲを学習する際は、数Ⅲの性格をよく知った上でやるのが効率も良いですし、得策かと思われます。僕の受験体験から数Ⅲに関して2点特徴を挙げます。
1点目、入試問題の数Ⅲは、おおよそ、傍用問題集に乗るような基礎的標準的な問題から、誰も完答できないような難問奇問まで多岐に渡ります。数1A2Bの場合には難問奇問はあまり出ません。ですが、最難関大を狙う学生たちはやはりレベルが高いため、難度の高い問題(過去問で言うレベルCやD)でも部分点ぐらいは狙ってきます。ですので、標準問題を反復するだけでは足りません(もちろん標準問題の反復は大事ですが)。もしAkiさんが一通り数Ⅲの標準問題を解けるようになったのなら、少し難度の高い問題や思考が必要な問題にも触れる必要があります。
2点目、数Ⅲは1A2Bに比べて計算量が著しく多いです。特に東工大は工業大学であるがゆえ、数Ⅲの出題では極限と微積が大部分を占めており、計算量も日本のどの大学に比べても類を見ないほどです。その一方で、基礎問題精講や1対1、チャートなどは解法パターンを習得することに主眼を置いているため本物の入試数学(特に東工大の数学)とは少々趣が異なります。つまり計算は軽めです。
以上2点からアドバイスを述べますと、基礎問題精講と1対1で解法パターンの習得は十分です。チャート式などに手を出す必要はあまりないと思われます。それよりかは、東工大レベルの息の長い計算力と思考力を少しでも鍛えるためにも、上記2冊で解法パターンの習得が済んだのならば少し上のレベルの問題を解く方が良いです。おすすめとしては、それこそ東工大の過去問に触れてみるのが一番手っ取り早いです。もちろん受験生の身としては過去問は残しておきたいのも分かりますが、結局は過去問は直近の5〜10年ぐらいをやれば十分ですので、直近10年だけ残しておいてそれより前の過去問を問題集のように解くのが得策です。他には上級問題精講・やさしい理系数学(←簡単ではない)、理系プラチカ数Ⅲなども東工大等の最難関大受験生にはおすすめです。これらの少し上のレベルの問題を解くことで負担の大きい計算力と息の長い思考力を鍛えましょう。
ちなみに1A2Bは難度の高い問題ばかりを解くよりは標準的な問題をこなす方が良いです。
長ったらしく拙い文章で申し訳ありませんが、僕のアドバイスが少しでもためになれば幸いです。
東工大の数学はやはり難しいです。ですが、そのレベルの高さにめげずに、むしろ数学極めてやるぐらいの勢いで、晴れて合格を掴み取って欲しいです。頑張ってください！2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-6","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/xmlqqjx3","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":["「","数Ⅲ Z会 独学","」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/4lEdlX0BTqPwDZPuymBG","children":["$","div",null,{"className":"flex items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数Ⅲについて"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"この質問に素直に答えるなら余裕で習得できるよ🙆‍♂️\n\nただ、前提として1A2Bが正しく理解できている必要があるよ！\n数3の範囲について少し説明するね。\n\n\n①平面上の曲線\n楕円とか双極線っていう、円の上位互換みたいなやつが出てくるよ〜。\n→数2の図形と方程式の応用だからそこがしっかり出来てないとダメ🙅‍♂️\n\n\n②複素数平面\n複素数を図形的に扱っていく単元だよ！図形を回転させれるようになるね🙆‍♂️\n→数2のいろいろな式の範囲の複素数がマスター出来てないと🙅‍♂️\n\n\n③関数と極限\n数2指数関数、対数関数、三角関数、数B数列ができたら、それを無限大までビヨーンって伸ばすとどうなるのってお話しだね。\n→上に書いた単元はマスターしよう！\n\n\n④微分\n今までの微分より関数が複雑になっていくよ！でもパターンがあるから網羅できれば大丈夫👌\n→数Bの微分をマスターしておこう！\n\n\n⑤積分\n体積とか曲線の長さを求められるようになるよ🙆‍♂️簡単ではあるけど計算が面倒になるから計算力も必要！\n→数Bの積分をマスターしておこう！"}],["$","div",null,{"className":"flex mb-1","children":[["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"Z会だけで良いか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"z会は非常に良い教材なので、これだけで十分だと思います。僕自身も質問者様と同じく、塾には行かずにz会だけで勉強していました。僕自身は現役時z会の勉強だけで、京大実戦模試、オープン模試であと数点でA判定のところであるB判定を見事に取ることができ、合格圏に十分入ることができました。もっとも僕自身は本番で数学において、大失態を犯し一年浪人して、京大に合格しましたが、これはz会の責任ではなく、自らの甘さと傲慢さでした。しかし、現役時において、ほぼＡ判定のB判定を取れたことを考えるとz会はとても良い教材であることがわかります。また、z会を真面目に丁寧にこなせば、正直なところほかの事に手をつけている暇はありません。以上一浪して京大に合格した私の体験談でしたが、参考にして頂けたら幸いです。質問者様は是非現役で東京大学に合格してください！応援しております。"}],["$","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 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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":[["$","div",null,{"className":"mb-1","children":"数A・Bの勉強法"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！ジョジョジョです。\n\n現在慶應経済学部にいますが、元々理系で数学は得意だったのでアドバイスさせていただきます。\n1・2は関数などで内容につながりがあるので、これらの分野が得意なの自信を持っていいいと思います。\n\n次にA・Bについてですが、それぞれの分野が比較的に独立しているので独学しやすいです。難関大だと数列と整数を混ぜたりベクトルや微積を混ぜてきますが、それは直前期で十分間に合います。\n図形は難関大にあまり出ないので省略させていただきます。\n\n初めに勉強法としては自分の得意な分野、もしくは好きな分野からやっていくのがお勧めです。\n\n・整数は簡単な問題は暗記と割り切っていいです、最初は解法を暗記して基礎問を解けるようにしましょう。難易度が上がるにつれて初手何をすればいいのかわからなくなりますので、その状態からの攻略はYouTubeにまとまっているので参考にすることを勧めます\n\n・確率は問題での場面設定の理解が大切です。球をあえて区別したほうが解きやすかったりしますのでその力を演習でつけていきましょう。\n\n・ベクトルは基本原理の理解が大切です。様々な形で出題されますが基本の公式を変えるだけで解ける場合があります、あと３次元の設定を２次元に変える力もあれば尚良しです。\n\n・数列は正直暗記でほとんどの問題が解けます、難しい問題でも部分点は取れます。問題が難しくなれば試行実験が必要になります、その時は循環する部分をまとめたり都合の良さそうな数をかけるのも手です。\n\n数学は基礎問題・基本解法の暗記を徹底するだけで偏差値70超えます（河合記述模試）。暗記と割り切って勉強すると気が楽かもしれません。\nもしチャート式やFGで勉強しているのでしたら、単語帳のように高速で回す方法は解法暗記に効果的です。\n\n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 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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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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"共テ実践模試z会の数学"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんばんは！Z会の模試は比較的難しいと思います。そして進研模試は簡単ですので、こうなるのも頷けますね。Z会は実戦模試に限らず全体的に手強いのでできなくても落ち込まないでください。一方で進研模試の場合、得点はもちろん、母集団のレベルが駿台や河合よりも低くなりますので偏差値も高く出ます。ですから進研模試の結果から受ける印象ほど、自分の実力があるわけではないのだということを念頭においておくと良いかもしれませんね。\n\n進研模試で8割後半取れるならある程度基礎はできているのだと思います。しかし、Z会で6割まで落ちてしまうということは基礎のうち思考力を要するものだったり応用に繋がる部分が弱いのかもしれません。特に東京工業大学(現東京科学大学)を目指されているのなら数学は絶対にこれ以上のレベルまで強化しておいた方が良いでしょう。現時点では基礎ができているかどうかも重要視してもらって構わないですが、これからは難易度の高い問題にもしっかり喰らいついていけるかどうかにも注意を払っていきましょう。\n\nこれから受験生となり本格的に受験勉強に力を注いでいくことになりますね。色々精神的にも大変な時期に差し掛かってくると思いますが一歩一歩着実に実力をつけていきましょう！応援しています！"}],["$","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","children":[["$","div",null,{"className":"mb-1","children":"高1で数Ⅲ・Cを終えるには？"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは\n数学3Cを高校二年生までに終わらせてやるというやる気はとても素晴らしいと思います\n　\nしかし、学習において大事なのは早く学習することではなく確実に理解することだと思います。数学I Aが苦手な状態で数学3Cを学習しようとしてもなかなか理解するのが難しいのではないかと思います。数学3Cは計算が煩雑でなおかつ公式も覚えにくいものが多く数学I AIIBの知識を前提としています。なのでまずはI A 2b青チャートのコンパス3つ(4つ以上は難しかったら一旦飛ばしてもOK)の問題を完璧にしてから数学3Cの勉強を始めることをおすすめします。\n　\n数学3Cも青チャートのコンパス３つまでを完璧にすれば偏差値60なら取れることも可能だと思います。\n\nペースですが高二の夏までに数学3Cまで終えたいのなら今年中までにI AⅡBの青チャートを完璧に、1月から夏にかけて3Cの青チャートを完璧にすればいいと思います。\n完璧というのは青チャートの問題をランダムに出されても確実に解ける状態にしておくことを指します。\n　\nあと質問とは関係ないですが登録が文系で第一志望が早稲田大学になっていますが早稲田大学の入試では数学3は使われないはずです。志望校に合格するためには受験校の入試科目等を調べてから勉強することをおすすめします。\n\n数学の勉強はなかなか苦しくすぐに結果が現れるためじゃないのでしんどいと思いますがいつかグッと伸びる時が必ず来るので挫けずに頑張ってください！！応援してます！！"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学の先取り"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"初めまして！東北大学工学部1年のKanと申します。\n勉強法というと人それぞれかと思うので、まずは参考書について紹介しようと思います。\n\n結論から申しますと、先取りでおすすめなのはチャート式やFocus Goldなどの網羅系の参考書です。学校で配られたならそれを使うと良いと思います。\n\n初学となると、基礎をインプットしながら問題演習をしていくことが定着に繋がるので、これらの参考書に沿って学習していくことをオススメします。\nチャート式やFocus Goldには、問題ごとに｢考え方｣の欄があるので、この問題がきたらこう解く、のようにパターンが整理されて行くと思います。例えば、｢三次方程式の実数解の個数を求めよ｣ならば｢(極大値)×(極小値)の符号を調べる｣のように、解法のストックを増やすことができます。もちろん数Cの先取りも可能です！\n\n数学の問題を解くときに、思いつくかどうかわからないひらめきには頼りたくないですよね。ならば｢見た事のある問題｣を増やせば良いんです。これらの参考書を使うことで｢見た事のある問題｣が増えるので、高３生になっても役に立つ知識の土台が固められると思います。\n\nもし数学に自信があるならば1体1シリーズにも挑戦してみてください。こちらはさらに高級な解法を扱っているので、解法のボキャブラリーが増えること間違いなしだと思います。\n\n勉強法について、僕の個人的なもので良ければ伝えますので、必要でしたら教えてください！"}],["$","div",null,{"className":"flex 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