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'ほとんどの問題は解説を見ずに解ける場合' まずは解けなかった例題の解説を読んで、ちゃんと理解しましょう。(頭に入ってこないor読んでもよく分からない場合は、解説をノートに写経すると良いです) そして次に、その例題の下にある練習問題を解きましょう。これは忘れない程度に時間を開けても効果的ですが、私は覚えるためにもすぐやってました。 b. '半分以上解けない場合' この場合は、解けなかった例題に対する対処は a の場合と全く一緒で良いのですが、aのように練習問題をやっているとなかなか青チャートが進みません。 また、半分以上解けないということは、その単元の理解が浅いと予想されますので、まずは例題を一通りやって単元の理解(全体像の把握)をする事が重要になってくると思います。 数学は一度理解したと思っても、自力で解けるようになるまではやや時間のかかる科目だと思います。 従って b の場合は '青チャート一周' で例題を完全に解けるようになるかと言うと、難しいでしょう。 しかし、 'とりあえず、例題を一周する' とかなり見通しが良くなると思います。(雑に早く沢山解くよりは、丁寧に基本を抑えていく方が必ず身になります) 青チャート一周目は途方も無く道のりに感じるかもしれませんが、丁寧にやれば二周目は軽くなるでしょう。 aの場合で一周した後や、その単元に自信がある場合は、章末問題などを解いて本当にその単元に抜けがないかを確認しましょう。そして、抜けているところがあれば、また例題に戻ったり、練習問題を解きましょう。抜けていなければその単元は完了です!他の問題集を解きましょう。 bの場合で一周した後は、もう一度例題を一周してみましょう!!! きっと a に進めるし、一周した後は基礎を抑え始めているはずです。 色々と言いましたが、青チャートの進め方はハッキリと言って趣味に依りますので、単元ごとに例題二周目に取り組んでも良いし、一冊ごとに二周目に取り組んでも良いし、1A・2B・3と3冊とりあえず一周するのも良いと思います。(ただ二周するまでにあまり時間を開けると、忘れてしまうので注意が必要です) 共通して大切なことは、"一度解いただけで人は解けるようにならない" という少し残念な事実を肝に銘じることです。 余談ですが、私は高2の時に青チャートを一周して、高3の夏にまた二周しました。一周するごとに数学の見通しが良くなっていったのを実感しました。 本当に数学は "基本" が大切です。 もう夏だからと焦って自分のレベルに合ってない(背伸びした難易度の)参考書を使ったりすることは、数学においては遠回りと言えます。 夏だからと言って遅くはありません。 数学は努力が実るのに数ヶ月かかると言われていますが、本番まではまだ半年あるからです。 青チャートは基本を網羅している素晴らしい参考書です、基本が不安ならば、まずは一周しましょう!!! 長々と色んなことを書きましたが、実際そんなに簡単な事ではないと思いますので、必ず '2週間で終わらす!' などと自分の中で期限を決めて取り組みましょう。 今回は青チャートをフル活用する前提で話しましたが、合わないなと思ったら自分に合う参考書に変えるのも良いと思います。 しっかりとこの夏で数学の基礎が固まると良いですね。応援しています!1d:T10ae,こんにちは。今回は青チャート云々というより数学の勉強について答えていきます。 まず前提として数学は暗記科目ではありません。定義や定理、公式は覚えて身につける必要がありますが、それを覚えたからといって直接点数には結びつかない場合が多いです。だからこそ難しいのですが、、、 ではどうしたら良いか。ということでまず、、、 センター試験レベルの問題は定義や定理や公式を暗記し、一般的な解法を何度も反復することで満点は取れるようになります。センターは教科書レベルのものの理解度を試すものであるからです。ということは、まず当面の目標としてセンターで時間をかけてもいいから満点を安定して取れるレベルを目指しましょう。 青チャートの7割の例題の解法を覚えているなら容易いと思います。 次に、、、 この次の段階に行くにはどうしたら良いかを説明します。例題の中で暗記しやすいものはいわゆる典型問題というもので何かしらの公式や定理を当てはめるだけで答えが出ます。そして覚えにくい問題というのは公式の単純な当てはめでは解けないもの、いくつかの定理を組み合わせなければいけないものです。 これらは典型問題のような解法暗記では解けるようになりません。問題によって考え方を変え、応用しなければならないからです。 応用問題、複合問題では解法の暗記が重要なのではなく、解答のプロセスと問題のテーマが重要です。ですので、1つひとつなぜこの公式を使うのか、解答を得るために何が必要なのかを意識するようにします。「なぜ」という疑問を常にもち、必ず納得して勉強をしましょう。 そしてそのあと、ほったらかしにせず、翌日や翌週などに問題見て頭の中で解答のプロセスを順序だてて辿ります。これは書いても良いですがサラサラとメモっぽくで十分です。とにかく論理だてて、理由をつけて考えるようにします。 そうすることでどのような場合にどのような考えを使えばいいのかがわかるようになってきます。 また、考え方を予め決めておくのもおススメです。 例えば、 図形の問題が出てきたら、 1-三角関数、2-ベクトル、3-初等幾何、4-座標に置き換え、5-複素数平面 の順に考える。などです。そうすることで詰まってもどんどんほかの解法でチャレンジ出来、初見の問題でも解けるようになります。 解法の選び方、論理立てて考える方法、公式や定義や定理の応用の仕方などが書いてある参考書があります。それは「世界一わかりやすい京大の数学」という本です。これは数学の根本に基づく解き方、プロセスが事細かに書かれているため非常に参考になるのでおススメです。京大の問題は思考力を要する問題であるため、数学のレベルアップにはうってつけです。数学1A2Bを一通り学んだものであれば問題なく使用できるので、京大だからと物怖じせずにやることをかなり強くオススメします。僕はこれでかなり偏差値が上がりました。 最後に、、、 数学は簡単に伸びる科目ではありません。できるようになるには長い時間がかかります。我慢して我慢して解法を論理立て考え深い理解をすることで、徐々に解けるようになってきます。 簡単に身につくものは簡単に忘れてしまいます。じっくりと根気よく数学に真摯に取り組むことが遠回りに見えて最短の道のりです。諦めることなく続けていきましょう。 大変ではあると思いますが、必ずできるようになるので最後まで頑張ってください。第一志望の大学に合格出来ることを心より祈っています。 2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto 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mb-4","children":"UniLink利用者の80%以上は、難関大学を志望する受験生です。これまでのデータから、偏差値の高いユーザーほど毎日UniLinkアプリを起動することが分かっています。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":null,"clientUserName":"北海道大学法学部志望","infoString":"高3 北海道 北海道大学志望","adviceId":"_UQlTnEBTqPwDZPuYoHl"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"北大の教育学部を志望している者です。青チャートの使い方がまだよくわからないのですが、どのように使っていけばいいでしょうか?"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}],null]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"回答"}],["$","div",null,{"className":"mb-4","children":["$","$L15",null,{"adviserImageUrl":null,"adviserName":"ファルコンパンチ","adviserDepartment":"名古屋大学医学部","adviceId":"_UQlTnEBTqPwDZPuYoHl"}]}],["$","div",null,{"className":"coach-mark mb-4","children":"すべての回答者は、学生証などを使用してUniLinkによって審査された東大・京大・慶應・早稲田・一橋・東工大・旧帝大のいずれかに所属する現役難関大生です。加えて、実際の回答をUniLinkが確認して一定の水準をクリアした合格者だけが登録できる仕組みとなっています。"}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap mb-4","children":[["$","div","advice-part-0",{"children":[null,"はじめまして、名古屋大学医学部のファルコンパンチといいます。僕も青チャートを使って数学の演習をしていたのでその方法を書きたいと思います。\n\nまず公式の載っているページを見て、公式の意味を理解する。\n\n次に例題を解いてみる。この時、方針を見ながらでいいです。解き終わったら(解けなくても)解説を読む。ここで解説にある式が「なぜこれを使うのか?」「これから求まるのはなにか?」を考えらながら読んでください。\n\nそして練習問題を解きます。今度は方針を見ず解いてください。終わったら例題の時と同じです。\n\n例題と練習問題を2周したら時間があれば最後にエクササイズを解いてください。\n\nこれらは範囲別にやるといいと思います。(定着しやすい)勉強頑張ってください👍"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":null,"adviserName":"ファルコンパンチ","adviserDepartment":"名古屋大学医学部","adviceId":"_UQlTnEBTqPwDZPuYoHl","numberOfFan":80,"clipsAvg":10.043103448275861,"adviceRateAvg":4.644628099173554,"profile":"\n医学科新3年\n数学と物理が得意でした。\n"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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22:47"}]]}],["$","div",null,{"className":"text-xs whitespace-pre-wrap","children":"ありがとうございます!\nチャートが定着してきたら1対1演習をやった方がいいですか?\nネットで調べたらやった方がいいという人と青チャートだけでいいという人に別れているのですが"}]]}]]}],["$","div",null,{"className":"flex py-4","children":[["$","div",null,{"className":"mr-2","children":["$","$L19",null,{"avatarUrl":null,"contributorName":"ファルコンパンチ","adviceId":"_UQlTnEBTqPwDZPuYoHl"}]}],["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"flex justify-between","children":[["$","div",null,{"className":"mb-2","children":["$","$L1a",null,{"contributorName":"ファルコンパンチ","adviceId":"_UQlTnEBTqPwDZPuYoHl"}]}],["$","div",null,{"className":"text-xs text-caption","children":"4/10 1:08"}]]}],["$","div",null,{"className":"text-xs 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mb-1","children":"僕が実際に行った勉強方法の話をします。\n僕が使用した教材はプラチカ、オリスタ、青チャの3つで、青チャは辞書として使用しました。\nどういうことかというと、プラチカの設問を解くときに行き詰まってしまったとき、すぐに解答解説を見るのではなく、似た問題や使えそうな定理を青チャ調べて自分で解答を練る訓練をします。それでもわからない場合は解答を見て、そこで使われている定理、解法を青チャで調べます。\nなぜこのようなことをするのかというと、青チャはあの分厚さからわかるように、高校数学における定理をほぼすべて掲載されています。しかし、定理の中には覚えなくていい定理はないですが、重要度というのは存在し、あのように羅列されるとその重要度が見えづらくなってます。ですが、先程話した方法をとると、頻繁に使用するもの、必要不可欠なもの、手計算で代用できるもの等、それぞれの個性が見えてきます。また、定理どうしの相性も存在します。それらを頭の中に体系的に整理することができます。\n過去問の件ですが、極端な話をすると、センターと二次の間は約1ヶ月あり、前期日程に則って2日で1年の過去問を終わらせるとしたところ、その期間だけで15年分できることになります。そんな人はいませんが、要は過去問は割とする時間はあります。なので、そんなに焦る必要はないかと思われます。\n今なにか過去問を解くなら、何か1つ問題を決めて答えは絶対に見てはいけません。1週間でも2週間でも考えて、それでもわからなければその問題は過去問を本格的に始める時期まで捨てましょう。諦めない練習、試行錯誤を繰り返す練習になります。僕も2週間かけて解いた経験はあります。\n長文になりましたが、参考になれば幸いです。あなたの第一志望合格を応援してます!"}],["$","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":[["$","div",null,{"className":"mb-1","children":"数学の勉強方法や参考書"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"東京大学に合格したものです。早稲田商学部の数学受験に必要なレベルとしては黄チャートより青チャートに取り組んだ方が無難であると思います。理由と致しましては早稲田商学部で出る問題は黄チャートで網羅できている範囲を超えている可能性はありますが、青チャートのレベルを超える問題は出題されることはありません。また、どちらにも基礎問題はのっているため、基礎がある程度理解出来ているならなおさら青チャートを進めた方がいいと思います。基礎問題精巧や標準問題精巧は難易度が青チャートより高いため、手を出さない方がいいでしょう。それよりは青チャートを何周もして完璧にするのが良いです。\n\n青チャートの最も効率的で素早く完璧に仕上げる方法を記しておきます。是非参考にしてみてください。\n① 例題を解く\n② 解いた例題が○だった場合、練習問題に進む\n解いた例題が‪✕‬だった場合、蛍光ペンで印をつけ、練習問題は飛ばし、次の例題に進み、①に戻る\n③解いた練習問題が○だった場合、そのページにある問題は全て解けるため、もう解き直す必要が無いです。そのためページのところに印をつけ、次のページに進み、①に戻る。\n解いた練習問題が‪✕‬だった場合はその練習問題に印をつけ、次のページに進み、①に戻る。\n\nこの方法で進めると、まず1周した時に間違えた問題が明確になります。\n2周目は\n①間違えた例題を解く。この時、例題を解き直し、○だった場合そのページの練習問題を解く。\n②間違えた練習問題を解く。この時、解けたらページのところに印をつけ、次のページへ、解けなかったらそのまま次のページに進む。(🟰3周目に解くため)\n\nこのやり方で何周もし、だいたい5周目くらいに全ての問題が完璧になります。ざっと4ヶ月程で終わると思います。チャートが終わったら過去問に取り掛かりましょう。早稲田の他の学部の問題を解くのもありです。それらも間違えたらしっかりと解き直し、完璧に解けるようにしましょう。抜けている部分があったら青チャートでその分野の問題を確認し、解き直して弱点を克服していきましょう。この方法で数学の苦手分野はなくなります。\n\nざっと勉強法を記してみました。分かりずらい部分がありましたら遠慮なくコメントお願いいたします。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 .9 2 2s-.9 2-2 2-2-.9-2-2 .9-2 2-2m0 10c2.7 0 5.8 1.29 6 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"模試 数学"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"青チャートだけですと基本的な問題(小問集合や各大問の前半部分)は解けても後半の応用問題を解くのは難しいでしょう。数学的なセンスがある人であれば青チャートだけでも解けるのかもしれませんが。。\n\n個人的には青チャートとは英語でいうと単語帳や文法書のようなイメージです。青チャートとは二次試験のような応用問題を解くための問題集ではなく基本的な問題の解法を身につけるためのものです。つまり共通テストであれば青チャートだけでも満点近く狙うことはできますが難関大学の二次試験となれば青チャートだけでは太刀打ちできません。\n\n応用問題を解くためには青チャートで身につけた基本問題の解法を組み合わせる、あるいは知っている解法が使えるように式変形、論理展開を進めていく必要があります。\n青チャートだけではこの力はほとんど身に付きませんので駿台模試で点数は期待できないです。\nこの力は二次試験レベルの問題集を解くことでしか身につけることはできないです。\n\n本題の青チャートの使い方に関してですが使い方は間違っていないと思います。全ての問題に関して問題文を読んでノータイムで解法が浮かぶレベルまで全ての問題を仕上げてください。そこまでして初めて応用問題への挑戦権が得られます。\n具体的な使い方は間違えたものを繰り返し解いて解答を自力で作成していくのがよいでしょう。\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 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"京大2次数学"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"青チャートからいきなり二次試験を解いたときにギャップがあるのは自然なことで焦る必要は全く無いです。\n\n実力強化問題集はあまり聞いたことがありませんが少し難しい網羅系のようですね。これはいわゆるインプット系の問題集であって青チャートが完璧であるならば必要無いように感じます。それならば文系プラチカなどで少し難しい問題を実際に解いてインプットしたものを試していく方がいいですよ。そこで予選決勝法などの教科書にのっていないような受験テクニックなどもある程度はカバーできるはずです。\n\n解答を見て納得することも大事ですが自分で最初に思いついた方法で解ききれないか周りの人に質問することも大事だと思います。あくまで解答は最短経路が示されているだけであり解答と違っても自分の考えが間違ってるとは限りません。解説の解法が鮮やかすぎて解けるわけないだろって思う問題に出会うのもよくある話です。\n\n受験数学とは基本的に慣れていけば何とかなるものです。もし全く二次試験に手が動かない場合は実力強化問題集で更に少し難易度の高い類題に触れておくという作戦も有効だと思います。2週もできれば確実に自信につながると思いますし。\n\nこの時期に青チャートが固まっているというのは他の受験生に比べて少なからずリードしてますよ!頑張ってください。"}],["$","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":[["$","div",null,{"className":"mb-1","children":"青チャートをどこまでやるべきか"}],["$","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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