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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 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"文系数学で高2のうちにやっておくべきこと"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"私も青チャートを使っていました!\n基本的に、高2だろうと高3だろうと勉強法は変わりません。\n青チャートが解ければ、他の問題は怖くありません。\n\n以下、勉強の極意です。\n\n1.まずは一通り例題を解き、公式の使いどころを覚える。(基本問題)\n→数学には解法パターンがあります。こういう問題が来たら、こういう方法で解く、というのが反射的にわかる、身につく、というところまでもっていきます。\nこの時、公式がわからない、理解できないときは教科書を開いて理解するようにしましょう。\n\n2.例題の下にある問題を解く(標準問題)\n→わからなくてもすぐに答えなどみずに、10分は考えるようにしましょう。この時色々な公式や解法が頭に浮かべば、知識は身についている証拠です。\n逆に標準問題で手も足も出ないなら、教科書に立ち返りましょう。\nここまでできれば、定期テストや模試である程度の得点は見込めます。(青チャートなら国立大やマーチレベル)\n\n3.章末問題を解く(応用、発展問題)\n→数学を得点源にしたい人、難関国立大や早慶を狙う人は最終的に解けるようにしましょう。\nこのレベルだとさまざまな公式を合わせて使う、複合タイプの問題になります。\nこの問題をやるときは、「自分がどこまでわかっていて、どこからがわからないのか」をしっかり把握するようにしてください。復習するときはできないところの例題などを見返し、できるようにしましょう。\nこれが解ければ模試の大問もほぼ完投できます。\n\n\nこのように、大事なことはとにかく、\n理論を理解する\nことです。\n闇雲にやって量をこなすのではなく、丁寧に時間をかけて勉強してください。\n"}],["$","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":[["$","div",null,{"className":"mb-1","children":"青チャートの解説が理解できないときには?"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"青チャートの中でも、レベル4, 5の問題はほとんど解けない問題が出てくることがあります。こういった問題を解くには、経験と発想の転換、違う面からのアプローチが必要になってきます。\n\n点P さんは高校1年生ということなので、受験に向けた勉強という点で言わせていただくと、まだ解けなくてもいい問題があってもいいと思います。それよりも、苦手な範囲をなくすことを重点的に勉強した方が、よっぽど受験には役立ちます。\n\nもちろん、解けた方がいいのに越したことはないですし、受験間際には、解ける力が必要になります。\n\nなので、将来的には解けるようになりたいなー、そういう解き方もあるんだなーという気持ちで、頭の片隅に置いておく程度でいいと私個人的には思います。\n\n\n…でも、どうしても解きたい。ということであれば、学校や塾の先生や先輩に聞いてみてください。個人の力で解くよりも、周りの方に教えてもらう方が、理解しやすい場合があります。\n\n\nFocusGoldを見たことないので分かりませんが、それぞれの問題集の解説文にも、人によって合う合わないがあります。一度本屋さんなどで読んでみて、分かりやすいと感じたのであれば、乗り換えてもいいと思います。ただ、その場合は、2つの問題集を取り組むのではなく、ひとつの問題集を完璧にすることを目標にしてください。そのほうが力がつきます。\n\n是非参考になればと思います。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"じっくりを1周か あっさりを何周もするか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"僕は早慶の文系学部で数学を受験科目として使いました。何かお役に立てれば幸いです。\n\n僕は1学期の間は英語ばかりやっていたので,夏休みは数学を重点的にやりました。具体的にいうと青チャートに似た網羅系参考書であるFocus Goldという参考書の例題のみを1,2周勉強し,ある程度公式,解き方を覚えました。\n\nその暗記をした知識の引き出しから,問題を解くのに有用な知識を引っ張り出して解くイメージで演習していました。そこで忘れていた知識があれば,適宜その参考書に戻って,例題を解いて覚え直し,理解していました。\n\nつまり,僕は最初はじっくり勉強して,その後忘れてしまったところをやり直していたわけですねー。おそらくミオさんの去年の勉強法で間違っていた点は,\"1周しか行わなかった\"ということだけだと思います。人間は忘れる生き物なので,復習をすることが重要です。\n\nその後,数学の基礎固めが完璧になったら,もう過去問を解いてみてもいいと思います。関西学院大学でしか数学を使わないというのは,逆を返せばその過去問が解けさえすればいいので,過去問に慣れて,他の教科を頑張ってみるといいと思います。\n\n夏休み期間,頑張ってください!!"}],["$","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 mr-3","children":[["$","div",null,{"className":"mb-1","children":"基礎問題精巧の後に青チャートをやるべきか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"自分は、数学受験で慶應経済に入ったものです。\nやった数学の参考書(1A)を順番に並べていきます\n1.基礎問題精巧1A\n2.1対1対応 大学への数学1A\n3.標準問題精巧1A\n4.文系プラチカ\n5.上級問題精巧\n6.ハイレベル完全攻略\n7.全レベル問題集1A2B レベル4\n8.やさしい理系数学\n9.大学への数学 月刊\n10.一橋大学の数学 慶應経済の数学 赤本\nここに載っているものを全て完璧になるまでやった結果(30周ずつくらい)東進の4月の早慶上理模試で4/1791位、9月のatama+共通テスト模試で1A96点 2b98点をとれました。\n基礎問題精巧を完璧にしたのであれば共通テスト8割(今年は例外)は取れます。青チャートは気が滅入らないのであれば2番目にやっても問題ないと思います。自分はあの分厚い参考書に拒絶反応が起きた結果1対1対応と標準問題精巧に逃げました笑。もしくは自信があるようでしたら標準問題精巧、文系プラチカをやるのもありかと思います。\n京大の文系数学も20年分くらい解きましたが、レベルの高い参考書をたくさんやるよりも、基本の型を完璧にしていれば解ける問題も多いイメージです(文系プラチカ、大学への数学月刊くらいまで)。\nもちろん京大数学は一見初手をどうすればいいのか分からないものが多いですが、考える時間は十分に与えられているので、何の分野の融合問題なのか、求めるべきものは何なのか、それを求めるにはどんな手法があったか(最小、最大なら関数と範囲、相加相乗など)、それを考え与式の形を使いたい公式の形に寄せていくことが重要です。\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 mr-3","children":[["$","div",null,{"className":"mb-1","children":"青チャートをどこまでやるべきか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"結論、どちらでも構いません。\n横国は青チャだけでも十分対応可能です👍\n\nエクササイズまできっちり仕上げられれば、もう過去問に入って大丈夫です。仕上がってればほとんど解けると思います。\n\nまた、練習までで行くなら参考書挟んでもいいかもしれませんね。ですが練習まででも完璧になってれば過去問は解けるので一回過去問やってみて自分の立ち位置把握してから、参考書に入った方がいいですね。過去問の難易度がちょうどいいと感じたら過去問やりまくるのもありですよ😉横国は良問が多い印象があるのでその選択も結構価値あると思います!\n\n参考書としては、文系プラチカや上級問題精講のように横国のレベルをはるかに超えるようなものでなければ何でもいいです。本屋でやりやすそう、かつ適切な難易度の参考書見つけてやる感じでいいと思います👍\nオススメをあげるなら、ニューグローバルレジェンドをおしときますね。いい参考書なのに有名じゃないので笑\n問題を解く方針選択の理由とかが書かれていて、解説が丁寧でした!あと、問題が単元ではなく、テーマでまとまっているという点も僕は好きでした😆\n\nちなみに、僕だったらエクササイズはやりません。ずっと青チャ使うより他の参考書使って気分上げたいからです。正直、理由なんてそれだけです笑\n\n青チャはかなり優秀なので信じて突っ切るのも普通にアリな選択ですよ😎\n僕が青チャ優秀だと感じたのは浪人期でした。最初は大学に通っていて、6月から浪人を始めたのですが、6,7月は青チャやりまくりました。そしたらなんとまあ、8月の京大模試で偏差値65取れちゃったんですね😲現役時は数学苦手だった上に、3〜5月は数学1ミリも触れずに2ヶ月青チャしただけでそこまで上がっちゃいました。優秀ですね、青チャ🤩ちなみにその時は、2ヶ月以内では青チャの1a2bの例題を9割完成くらいの出来でした。練習、エクササイズは一切やっていません。\n\nあくまで僕のはexample1でしかないですけど、青チャ優秀ってのは伝わって頂けたら嬉しいです!\n\n最後に!\nエクササイズに行くか、他に行くかはどちらでもいいですが、例題を疎かにするのは絶対やめてください。ここは精度にこだわって完璧にやりきってください。それができれば、数学が足を引っ張ることは基本ありません😤\n\n何か聞きたいことあったらコメントでも個チャでも聞いてください🙆‍♂️🙆‍♂️🙆‍♂️"}],["$","div",null,{"className":"flex 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