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UniLink"}],["$","meta","3",{"name":"description","content":"数学が得意な方に質問です。高校時代チャートや教科書の公式の証明は覚えましたか?公式の証明を覚えると覚える量が減るというメリットや考える力がつくと思いますが教科書などの証明は複雑で覚えられませんそして自分で数学の知識を組み合わせて証明することもできません公式が簡単に紹介されている本はありませんか"}],["$","link","4",{"rel":"icon","href":"/favicon.ico","type":"image/x-icon","sizes":"48x48"}],["$","link","5",{"rel":"icon","href":"/icon.png?2c0dc65a59843333","type":"image/png","sizes":"180x180"}],["$","link","6",{"rel":"apple-touch-icon","href":"/apple-icon.png?2c0dc65a59843333","type":"image/png","sizes":"180x180"}],["$","meta","7",{"name":"next-size-adjust"}]] 1:null 13:I[3903,["51","static/chunks/795d4814-03346c8d233b4adb.js","212","static/chunks/212-70508e17017a12c2.js","231","static/chunks/231-5dc9f3acdba63b0c.js","54","static/chunks/54-f848f8ba1c362ca7.js","23","static/chunks/app/advice/%5Bid%5D/page-186819a87df201a3.js"],"ClientInfo"] 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実はわたしもそう思っていました。 なので理論もわからず、とにかく問題集(私は青チャートを使っていました)を解き、間違える日々。 しかしこの勉強法は間違っている、と浪人してからやっと気付きました。 数学には定型パターンがあります。 高校数学を難しく感じるのは、そのパターンが非常に多いためです。 なので、まずはお決まりのパターンをしっかり覚えるようにしてください。 こういう問題がきたら、この公式だな、ってすぐに思いつくレベルまでもっていくのです。 以下、具体的な方法です。 私は青チャートを使っていたので、青チャートをイメージしてお答えしますが、ご自身の使っている問題集に置き換えて参考にしてみてください。 1.まずは一通り例題を解き、公式の使いどころを覚える。(基本問題) →数学には解法パターンがあります。こういう問題が来たら、こういう方法で解く、というのが反射的にわかる、身につく、というところまでもっていきます。 この時、公式がわからない、理解できないときは教科書を開いて理解するようにしましょう。 2.例題の下にある問題を解く(標準問題) →わからなくてもすぐに答えなどみずに、10分は考えるようにしましょう。この時色々な公式や解法が頭に浮かべば、知識は身についている証拠です。 逆に標準問題で手も足も出ないなら、教科書に立ち返りましょう。 ここまでできれば、定期テストや模試である程度の得点は見込めます。(青チャートなら国立大やマーチレベル) 3.章末問題を解く(応用、発展問題) →数学を得点源にしたい人、難関国立大や早慶を狙う人は最終的に解けるようにしましょう。 このレベルだとさまざまな公式を合わせて使う、複合タイプの問題になります。 この問題をやるときは、「自分がどこまでわかっていて、どこからがわからないのか」をしっかり把握するようにしてください。復習するときはできないところの例題などを見返し、できるようにしましょう。 これが解ければ模試の大問もほぼ完投できます。 このように、大事なことはとにかく、 理論を理解する ことです。 闇雲にやって量をこなすのではなく、丁寧に時間をかけて勉強してください。 2:["$","main",null,{"className":"px-4 pt-4 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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。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":null,"clientUserName":"未登録ユーザー","infoString":"高3 ","adviceId":"EJ8Q9ZqRV5OJrvcf"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"数学が得意な方に質問です。\n高校時代チャートや教科書の公式の証明は覚えましたか?\n公式の証明を覚えると覚える量が減るというメリットや考える力がつくと思いますが\n教科書などの証明は複雑で覚えられません\nそして自分で数学の知識を組み合わせて証明することもできません\n公式が簡単に紹介されている本はありませんか"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}],null]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"回答"}],["$","div",null,{"className":"mb-4","children":["$","$L15",null,{"adviserImageUrl":null,"adviserName":"ukarude","adviserDepartment":"早稲田大学人間科学部","adviceId":"EJ8Q9ZqRV5OJrvcf"}]}],["$","div",null,{"className":"coach-mark 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mb-4","children":[["$","div","advice-part-0",{"children":[null,"数学を早稲田と旧帝受験で使った者です!\n大学や学部にもよりますが、早稲田の文系数学受験であれば公式を覚える必要はありません🙅‍♂️🙅‍♂️\n阪大なんかはたしか文系でも公式成立の証明を出してたはずですが、おそらく早稲田では今後も問われることはないと思われます😉\n公式は覚えるものと言うよりは使いこなすものとして頭に叩き込むべきですね🤔僕は参考書などは使っていませんでした!よく聞く話かも知れませんが、センター試験は良問が多いです。公式を使いこなすためにはセンターたくさん解くのが良いですよ🙆‍♂️\nまだ時間はあります!頑張ってください🤗"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":null,"adviserName":"ukarude","adviserDepartment":"早稲田大学人間科学部","adviceId":"EJ8Q9ZqRV5OJrvcf","numberOfFan":0,"clipsAvg":0.8333333333333334,"adviceRateAvg":4,"profile":"一浪を経て早稲田大学に一般入学しました。\n国数英受験型文系です!\nよろしくお願いします!"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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line-clamp-2 mb-1","children":"こんにちは!回答させていただきます。\n\n公式の証明を覚えているとどう役に立つかということですが、正直、受験に合格するという観点では公式の証明問題が解ける以上のメリットはあまりないです!\n公式の証明では、受験数学のセオリーからみれば特殊な考え方を使うものが多く、考え方が他の問題に役立つ事も少ないのです。\n数学という学問を修める意味では、公式の証明を理解していることは重要だと思いますが。\n\nしかし、本番で公式の証明問題が解けるという一点だけで、覚える理由としては十分ではないでしょうか?\n実際の入試でそういった問題が出ているわけですし。4完を狙うなら公式の証明問題は落とせませんしね!\n\n余談ですが、三角関数の和積の公式とか、ベクトルの内積を使った三角形の面積の公式とかを、もし暗記せずにテスト中に導こうと思ってるなら、それはダメですよ!時間がもったいないですから。これはマジです!\n\n長文失礼しました。頑張ってくださいね!\n\n\n\n\n"}],["$","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 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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mb-1","children":"私も数学が大の苦手で、3年初めの共通テスト模試では40点ぐらいだったのが勉強し続けたら本番では8割取ることができました。\n数ⅠAはどんなに数学が得意な人でも落としてしまう引っ掛け問題が多いです。(医学部に行った知り合いも数IIBでは満点取れても数ⅠAでは中々取れていませんでした)それは大問1の必要十分条件や、データの問題です。これらの問題が取れれば周りと差をつけることが出来ます。理解すれば簡単ですが、数学っぽくないのでみんな敬遠してる印象があります。この分野は早めに完璧にしておきましょう。その他の問題は問題演習を繰り返せば対策できます。また、センターと代わって共通テストの数ⅠAは会話文が多く、問題形式に慣れるのも大切です。共通テストの数学は特殊なので、共通テスト用の問題集を使うのが効率いいかなと思います。対話式はありませんが、求められていることは同じなのでセンター過去問もかなり使えます。\n私は高3の1年間、週に3回ほど過去のセンター模試の過去問を解いていました。(塾の先生に頂いていました)沢山の問題を解くことで、パターンがわかり、最終的にどんな問題にも対応出来るようになったと思います。共通テストはいきなり傾向変えてきたり、予想問題と全然違うことがあったりします。たくさん問題を解いて、どんな出題のされ方でも対処できるようになれば強いです。\n共通テスト2年目で、共通テスト対策の問題集がたくさん出版されていると思います。これらの問題集を解きまくりましょう。まだ難しい場合は学校の問題集(基本的な)を解いて、基礎力を付けてください。青チャートなどはする必要ないと思います。難しい問題ではなく基本的な問題を応用出来るようになった方がいいです。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":"数学嫌いでも数学を安定させるには"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"数学の苦手克服について話しますね!\n\n数学は英語や社会に比べて覚えることが少なく、\n考えることが多いから難しい。\nどうやって考えたら良いかわからない\nといった相談をよく見かけます。\n\nこれは半分合っていて、半分間違っている認識だと思います。\n実は数学はある程度、暗記科目である一面があります。\n\n例えば、典型的な問題の解き方や考え方を理解していないと、類題は解けないと思います。\n\nなので、これらの基本問題はある意味では覚えるべき問題、暗記すべき問題と捉えることができます。\n\nただし、ここで言う暗記とは\n丸暗記ではなく、理解を伴った暗記であることに注意してください!\n\nこれらの基本問題の考え方を初見の問題に応用する問題が真に考える問題、つまり応用問題です。\n\nしたがって、数学が苦手だと思う方はまずある程度基本問題を暗記しましょう!\n\nその際は\n問題を解く\n↓\n解説を読む\n↓\n解答解説を見ずに再度解答を自分で作成する\n\nの3ステップを意識して問題演習してみてください!"}],["$","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",[["$","path","0",{"fill":"none","d":"M0 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"定石を定着させる"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは!\n\n\n典型問題がよく出る大学と参考書を紹介します!\n\n過去問\n神戸大学\n神戸大学の数学は典型問題が多く、定石を覚えるのにいいと思います。あくまで過去問なので、分野もバラバラでハンドブックのように扱うのには向いてません。\n参考書\n青チャート 新数学スタンダード演習\n特にスタンダード演習についてですが、この参考書は難関大志望者が「これは定石」と言いたい問題集のようなものなのでとてもオススメです!\n\n余計なお世話かもしれませんが、質問を見て気になったことを話します。\n定石を覚えるのは大事ですが、問題への向き合い方も大事で、質問者さんは後者が疎かになっていませんか?\n後先考えないで式を作ったり、最終的にどうしたいのかわかっていないとおっしゃっているのでそのように感じました。それだと時間を無駄にしてしまう可能性があるので問題への向かい方を変えた方がいいです。具体的には問題を見てすぐ解くのではなく、3分くらいはどう解くかの方針を立てた方がいいということです。\n僕は数学で方針を立ててから解くことで成績が伸びました。\n\n頑張って下さい!\n応援しています!\n京大で待ってます!!!\n\nこの解答がいいなぁと思ったらファンになって頂けると幸いです。高評価もよろしくお願いします!"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"数学のできる人"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"初見の問題が解けるようになる数学の勉強法について話しますね。\n\nまず、初見の問題は大きく分けて2つあります。\n\n① 基本問題だが自分にとっては初見\n② 応用問題で多くの人にとって初見\n\nまず、①について\n基本問題の演習を繰り返し、基礎固めをしてください。\n具体的な方法は下に書いておきますね。\n\n次に、②について\n応用問題は基本問題の組み合わせです!\nなので、身についた基礎をどの場面でどう使うか考える練習をしましょう!\nこれも具体的な方法を下に書きますね。\n\n\n上の①②に対応する\n数学の『オススメ教材』と『オススメ勉強法』について紹介します。\n\nまず、『オススメ教材』ですが\n全範囲を満遍なくカバーし、数学の基礎力向上に最適な教材として\n・青チャート1A2B\nをオススメします!\n\n解答解説がしっかりしていて、\nなおかつ、問題を解くときの考え方まで紹介しているので、基礎固めはこの教材を何周もすれば十分です!\n\n基礎がしっかりできていれば、\n全国の受験生が受ける模試であれば\n偏差値60〜65程度は到達可能です。\n\n青チャートを完璧にすると\n模試の時にどれが基本問題でどれが応用問題かわかるようになりますよ!\n\n次に、青チャートが終わったならば\n今度は身についた基礎を使う練習\nつまり、応用問題を解くために基礎をどの場面でどう使うかを練習しましょう!\n\nこの演習用として\n・1対1対応の数学\n・プラチカ\n・やさしい理系数学\nなどがオススメです!\n\n次に『オススメ勉強法』ですが\n青チャートを使うかどうかに関わらず、\n問題の考え方や解答を理解した後に解答を見ずに\n最初から最後まで自力で再現してみることが大切です。\n\nここで、再現できないようであれば、\nまだまだ理解が足りてないということです。\n\nつまり、\n問題を解く\n↓\n考え方と解説を理解する\n↓\n解答を見ずに、自力で再度解く\n\nこの3つのことを繰り返すことで飛躍的に数学力が上がります!\n\nぜひ、実践してみてください!"}],["$","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":[["$","div",null,{"className":"mb-1","children":"数学の勉強方法や参考書"}],["$","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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