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1d:Tf47,こんにちは！はじめまして！

フォーカスゴールドを全てやるかどうかは数学が得意か苦手かによります。

まずは数学が苦手な場合です。例えば、学校の定期テストなどの問題や学校のワークなどを解いても解けない、基礎問題レベルに苦戦する、応用題になると解けないという場合であれば、フォーカスゴールドをおすすめします。焦って難しい問題に手を出して解けないという時間がいちばん勿体無いです。東工大と言えど基礎問題(簡単だから基礎なのではなく、大切だから基礎)はとても重要です。定石を知ることは大事です！！
フォーカスゴールドの基礎問題をやり間違えたものにはマークをする。そして後日解き直し、また解けなかったらマークをする。これをただひたすら繰り返すことをオススメします。❌を⭕️にするという意識をもって勉強しましょう。

次に数学がある程度できる場合です。どのくらいかと言うとフォーカスゴールドの基礎問題ならおおよそ解ける、学校の定期テストも割と取れる、数学に対して苦手意識はあまりない、ことくらいのレベルであればフォーカスゴールドではなくもう少し薄い参考書を使ってもいいと思います。
使い方としては1２年分野の参考書をやり、間違えたところを復習する。そしてその時に自分の苦手分野、間違いが多い分野のみフォーカスゴールドのような網羅性のある参考書に戻るというやり方です。こうすることで得意分野を効率的に勉強出来ますし、応用問題に効率よくステップアップ出来ます。ただし、できない分野不安な分野は必ず網羅性のある参考書に戻るということは忘れないでください。
おすすめの参考書ですが、東工大を目指すのであれば｢大学への数学 一体一対応｣がオススメです。特に数II･Bはものすごくおすすめです。ベクトル数列範囲が特にいいです。ただしこの参考書は3年でやることが多いので高２だと少し難しいかもしれません。その場合は高三の夏休みにやることをおすすめします。

あまり多くの参考書に手を出すのはおすすめしません。基本的にどの参考書を使ってもその参考書を何周もし、完璧にすればどの大学でも戦えるような数学力は身につきます。1番大切なのは【どの】参考書をやるかではなく【どれくらい】参考書をやりこむかです。フォーカスゴールドが多すぎると思ったらほかの参考書を選びその参考書を完璧に仕上げてください(塾のテキストでもいいと思います）。フォーカスゴールドを辞書のように使うのはありだと思います！！
受験直前になったら東工大の数学25ヵ年を使うことをお勧めします。自分の苦手意識のある分野を集中的にやるのは非常に効果的です。

最後に自分が東工大を受験する時に使っていた参考書を参考までに載せておきます。

【高２冬】・青チャート1A ・青チャート２Ｂ ・学校のワーク(定期テストの範囲)
【高３春】 ・青チャート3 ・青チャート1A、２Ｂ ・学校のワーク
【高３夏】 ・一体一対応2B ・一体一対応3
【高３夏後】 ・今まで使った参考書の復習
【高３冬】 ・東工大の数学25ヵ年 ・(やさしい理系数学)苦手分野のみ
【高３受験前】 ・東工大過去問 ・東工大の数学25ヵ年

東工大は数3が特に重要です！数3は特に頑張ってください！1e:T1438,こんにちは。質問の意図は数学の参考書ルートということで、塾に頼らず数学を完成させた私の経験からアドバイスさせていただきます。

数学を学ぶ上での心構えですが、数学は単なる解法の暗記科目ではなく、特に京都大学のような高いレベルの入試では誘導が少なく、丸暗記だけでは対応できません。数学とは、決まった答えに対してさまざまな道具を駆使し、論理的に解を導き出す科目です。実際、京都大学の過去問に取り組むと「何をすればいいのかわからない」という問題に直面することが多いと聞いています。

何度も耳にするかもしれませんが、必要なのは自分が信じる参考書を完璧にすることです。ここでいう「完璧にする」とは、エビングハウスの忘却曲線に従い何度も復習することであり、いろいろな参考書に手を出すよりも遥かに効果的です。たとえばFocus Goldは非常に有用な教材で、全ページを完成させた後も定期的に見返すと良いでしょう。解いているときに、詰まった解法が書かれている部分にマーカーを引いておくと、後で見返しやすくなります。


実際の改善点
大学受験の数学の勉強は主に三つのステップに分かれると考えます。
一　解法を理解し、自分で運用できる武器を増やすこと。
二　その解法を実際に運用する練習、つまり思考力を鍛えること。
三　第一志望校の過去問に取り組むことです。


質問者さんは春休みに第一のステップを終わらせる予定とのことですが、その部分は問題ありません。ただし、学校で配られた教材であるメジアンは推奨できません。解説が詳しくなく、レベルもFocus Goldに似ているため、一つの教材に絞ったほうが遥かに効果を得られます。もし学校でやる必要があるなら、その部分には最低限の努力にとどめ、有効な時間の使い方を心がけてください。また、何かしらの入試問題集と書かれている部分ですが、ここでは第二のステップ、つまり思考力を鍛える部分が重要です。私のおすすめは「ハイレベル数学完全攻略」です。

ハイレベル数学完全攻略の紹介
・数1A2Bと数3Cの二冊構成で、各巻約40問程度の問題が収録されています。
・一見、問題数が少ないように感じるかもしれませんが、各問題は有名大学の過去問から選ばれ、重要なテーマについて詳細な解説が付いています。
・フォローアップ問題も充実しており、理解を深めながら横の広がりも学べます。
・Focus Goldと京都大学の入試をつなぐ難易度です。
・最初は戸惑うこともあるでしょうが、わからない点は先生に確認しながら進めれば大丈夫です。

「ハイレベル数学完全攻略」を3周ほどすることで（1、2周目は全問、3周目は間違えた問題を中心に）、体系的に思考法を鍛えられます。私自身は学校配布の網羅系参考書であるFocus Goldを2周し、その後「ハイレベル数学完全攻略」を3周、さらに「鉄緑会東大数学問題集」に取り組んで現役合格を果たしました。ハイレベル数学完全攻略の持つポテンシャルは保証できるので、ぜひ書店で実物を確認してみてください。問題に対する答えだけでなく、どのようなアプローチを取ればよいかを丁寧に解説しているため、解法の糸口が見えないという状況が格段に減るはずです。


過去問演習についてですが、京都大学の問題は実際に時間を測って取り組むべきで、せか京は過去問演習ではなく問題集、参考書として使うのが効果的です。実際に使用するかどうかは自分の実力と残り時間、他教科との塩梅をみてください。過去問に取り組む際は、鉄緑会京大数学問題集か駿台の青本がおすすめで、必ず時間を測って解くようにしましょう。


最後に、現役で絶対に合格したいという受験作戦についてですが、直前まで数学を詰め込むのは避けるべきです。しかし、数学をおろそかにするのも良くありません。直前期はノルマとして、過去問演習以外で1日2問、少なくとも1問は質の高い問題を解き、その解答の軌跡を記録することが大切です。私はそれを「ハイレベル数学完全攻略」で実践しました。現役生は理科の完成が遅れがちですが、最後の最後で理科は大きく伸びる傾向にあります。数学は不安定で上がりにくい科目なので、数学の結果に一喜一憂せず、他の科目で安定した点数を取る実力を培うことも忘れないでください。

応援してます2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=5mC11Zf50op7LuwLLKNI","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"FocusGoldの解くスピード・解き方"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",5,") コメント(",1,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"2/8 21:24"}]]}],["$","div",null,{"className":"coach-mark 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Goldのような網羅系の参考書はそもそも全てやることはあまりおすすめしません。質問者と同じ意見で時間がかかりすぎるからです。\n\nではどのように抜粋するかですが、基本的に例題のみを一周する形で構いません。例題はその分野における基礎問題(簡単だからではなく、重要だから基礎)を載せているので、例題を行うだけでその単元のある程度の定石を知ることができます。例題だけでも問題数結構ありますしね…\n✩1のようなもので目で解けるようなやつは飛ばしても構いません。\n例題をある程度やり、間違えた部分、不安な部分は単元を絞って練習や章末問題に取り掛かるという形でいいと思います。\n\nその後のお話ですが、1体1のような問題集に移ったあとも辞書のようにFocus Goldを使うことをおすすめします。\nまたそこでも苦手分野が出てきたら逐一戻るようにしてください。苦手分野は演習量が足りていないので、苦手分野のみ練習問題をやるといいと思います！\n\nあと、成績が伸びない、問題が解けない時は自分の実力よりも上の問題集、問題を解いている可能性があります！もう一度基礎基本問題は解けるか、に戻ってみてください。焦る必要はありません。1歩1歩確実に行くほうが大事です！"}],["$","div",null,{"className":"flex mb-1","children":[["$","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 0h24v24H0V0z","children":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"FocusGoldで足りますか？"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは！結論から言うともう一つレベルの上の参考書を過去問を解く前にやれるとベストです。\nその理由を数学の問題を解く上で必要なステップを紹介しつつ解説します！\n\n1　問題を見てどのような解法が使えるかを手を動かして実験してみる！\n難関大の数学で出題される問題は今まで似たような問題を解いたことがなく、すぐには解き方が思いつかないものがほとんどです。ぼーっと眺めていても何も始まらないので手を動かして自分が知ってる解法を試していく必要があります。\n(例　数列の問題の場合　いつも通り公式に当てはめれば解けるのか、それがダメなら小さい数をnに代入してみて規則性を見つけてそれを数学的帰納法で示すなど)\nほとんどの参考書ではこの実験を教えてくれないので意識してやれている人とそうでない人で差がつきます。\n\n2　解けそうな解法が見つかったらそれを実行する！\nここでFoucsGoldで習った内容の出番です、あとは知っている解法で解き切るだけです！\n\n数学ではこの２ステップが大事になります、簡単な問題では2から始まることも多いですが難関大の問題ほど1が時間かかるように作られています。つまり過去問を解く前に1の練習ができるFocusGoldより少し難しい参考書をやっておきたいです、おすすめは世界一わかりやすい 阪大の理系数学かハイレベル数学 完全攻略 駿台受験シリーズです(阪大となっていますが東工大と問題が似ているので問題ないです）\n\nここからはFocusGoldの活用法の一例を紹介します！\n受験数学で出題される問題の多くは数学3cから出題されます、つまりそこに時間をかけてほしいです。さらに数3cの各分野に関係する数1a2bも重点的にやるといいと思います(平面上の曲線なら軌跡領域、複素数平面ならベクトル、極限なら数列)\n目安は数1a2bが2周、数3cが3周程が良いと思います！量が膨大で一周に時間がかかる参考書ですのですべて完璧にしようとし過ぎずに程々で2冊目にうつり抜けていたら都度戻って確認する方法がおすすめです。\n\n受験は長期戦です、成績がのびない辛い時期も来るかもしれませんが全ての努力は無駄ではありません！気長に頑張ってください！！"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 2H6c.23-.72 3.31-2 6-2m0-12C9.79 4 8 5.79 8 8s1.79 4 4 4 4-1.79 4-4-1.79-4-4-4zm0 10c-2.67 0-8 1.34-8 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"Focus Goldの解き方"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"無謀ではないですが、割と勉強が数学特化になると思います！\n\n効率よく解くためですが、Focus goldは問題数が多いため、しっかり解く問題とそうでない問題を分けていきましょう。\n\n例えば、Focus goldのレベル分けのうち星1~2のものは教科書と同じレベルだと思います。また、もう少し上のレベルでも見ただけでなんとなく分かるな、と思える問題があると思います。その問題は問題文を見て解答方針を浮かべ、計算などはせずに答えを見て合っているか確認しましょう。\n逆に上以外の問題はしっかり解いていきましょう。\n\nまた、共通テストレベルならば星4レベルは解く必要は無いかなと思うので、星3までのレベルを完璧にしていきましょう！\n(もちろん最終的に東大までは星4まで必要です)\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 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":[["$","div",null,{"className":"mb-1","children":"数学の基礎固め"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"Focus goldを使ったことがないのですが、問題量が多く、そこそこ難易度の高い問題も掲載されていることと思います。\nまず、点数の取れていない分野(IAなのかIIBなのか、さらに細分化して確率なのかなど)を明確にしてみてください。それで、特定の分野が弱い場合にはその分野だけ、例題と演習を行うことをおすすめします。\n逆に特定の分野が弱いということがないのであれば、おっしゃっている通り、例題を解いてみてください。この場合、短期間で(例えば2~3週間)一気に一通り解いてみてください。少なくとも一問につき20~30分は考えてください。例題の中にはやり方を知っていないと解けない問題も必ずありますから、仮に解けなくても気にする必要はありません。\n具体的には\n1周目→全問\n2周目→全問(解けなかったものをチェック)\n3周目→解けなかったものだけ(さらに解けなかったものをチェック)\n4周目→解けなかったものだけ\nといった風にしてみてください。\nこれで慣れたら、演習問題やこれらの問題が混ざったもの(総合演習的なもの)を解いてみてください。\n\n\n補足ですが、少ない問題数で復習等をしたいときには1対1対応の演習(東京出版)がおすすめです。良問が揃っており、一単元ごとの問題数も多くないので、短期間で復習と確認が行えます。\n\nこのような回答でよろしいでしょうか？\nまた質問等あればおっしゃってください。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"Focus Gold が辛い..."}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"FOCUS GOLDは、確かに分厚くて問題の量に圧倒されます。ですが、誰もが知っていなければならない「パターン問題」がほぼ完全に網羅されていて、「基礎固め」にはうってつけの問題集です。\n量が多いという問題点に関しては、多いとはいえあの程度は少なくとも2周はこなせないと受験勉強をやっていけない、と思います。ただ、残念ながら2周するだけではまだまだ身に付かないんですよね…。そこでオススメなのが、「解法のみの確認」という方法です。\n「解法のみの確認」とは、問題集を流しながらみて、各問題を見た瞬間に「どのような解法（流れ）で解くことができるか」だけを頭の中で想定し、具体的な計算はせずそれが正しかったかを確認するというものです。\n例えば、問題だけを見て「この問題は座標を設定してこの点の座標をx,yと置いて方程式を2つ立てれば解けるな」と頭の中で考え、解答を確認し自分の考えが合っていたかを確認する、という具合です。これなら大して時間はかからないので量が多くてもあっという間にこなせます。\n\nまた、FOCUS GOLDではなく基礎問題精講→標準、という流れで基礎固めをするのも全く問題ないです。その場合も上に書いたことを行うことで素早く基礎固めができます。＊いずれにしろきちんと2周はする前提です。\n\n結論 FOCUS GOLDでも基礎固めはできるし、量はこなせる量である。だが、モチベーションは重要な要素なので、問題精講の方がやる気がでるならそっちを選んでも一切問題はない。"}],["$","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"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"focus gold(以下FG)を使い続けることをお勧めします。いくつもの参考書に手をつけるよりかは、１つ１つの参考書を何周もし、じっくりやりこんでいくほうがいいです。質問者さんは基礎から固めたいということですが、FGは基礎から発展まで網羅されています！また、まだ高校2年生ということで、時間もあるのであえて薄めの参考書に取り組む必要もないと思います。質問文にもあるように早めに基礎を固めたいというのであれば、マスター編の星2つと3つの例題だけを解く、などしてみてもいいと思いますよ。星1つは解くまでもなく軽く見るだけ、星4つは少し応用なので今はやらなくてもいい、と割り切ってもいいです。\n 私は、高3の夏休みまでに数3までのマスター編の例題(上記のように抜粋で)を一周と、step up問題の苦手な単元と微積(微積は苦手ではなかったですけど必ず入試にでるし重要な単元ですから笑)を終わらせ、夏休みで例題とその練習問題を一周、9月以降では夏休みにやって間違えた例題練習問題を復習しつつ平行してLevel up問題を解きはじめていました。11月後半ごろになって過去問演習を始めるときも、平行してlevel up問題を何度も解いていました。\n 私が受験で使った参考書は、FGと過去問だけですが、先ほど述べたやり方でかなり力がついたと実感しています。経験して言えることですが、FGはとてもいい参考書だと思います！なのでFGを使い続け、やりこむことをオススメします！\n そして間違えた問題は必ず解けるまでやってください。復習が大事です！がんばってください！\n "}],["$","div",null,{"className":"flex 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