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17:I[7060,["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"],"AdUnderAdvice"] 18:I[3194,["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"],"CommentPostButton"] 19:I[3866,["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"],"AdOnAdviceList1"] 1a:T1103,まず、この時点でチャートの例題が解けるようになっているのは素晴らしいと思います👍 基礎力は着実についてきていると思うので全く悲観しなくて良いです。 どういう所で点を落としているのかわからないですが、どの分野も青チャートの例題はほぼ解ける状態だとすると、その先の訓練が少し足りていないのかなと思います。 具体的には「少しひねってあるが、青チャートレベルの基礎知識を上手く使えば解き切れる標準問題を見抜いて・解ききる力」をつけることです。 (ここでいう基礎知識というのは、青チャートの例題1つ1つが扱っているポイントのことです。) 入試問題は 🔆「青チャート例題レベルの基礎問題」 🔆「少しひねってあるが、青チャート例題レベルの基礎知識を組み合わせたり、発展させたりすれば解き切れる標準問題」 🔆「基礎知識だけでは解きにくく、最後に回すべき難問」 の3つに大別されます。 入試本番は全5問がどの種類なのかを見極め、解く順番を決めた上で、上記の基礎問題と標準問題を解けるところまで解き切る必要があります。 基礎問題はほとんどの受験者が解ききれ、標準問題はそれ以前の勉強によって差がつき、難問は極めて少数の人間しか試験時間内に解けないため、標準問題をどれだけ解けるかが勝負となります。 では先述の、「少しひねってあるが、青チャートレベルの基礎知識を上手く使えば解き切れる標準問題を見抜いて・解ききる力」をつけるには何をすれば良いのか? その答えが過去問演習になります。 普通の参考書ではダメなのかと思うかもしれませんが、一般的に難しいとされている参考書は、ここでいう標準問題だけを集めたものが多いです。 なので、こういった参考書だけでは実際に入試で出る基礎問題や難問の手触りが学べません。 また、過去問と同じ問題は出ないと思われるかもしませんが、ポイントとなる部分が同じ、つまり傾向に沿った「似た」問題はよく出るので、過去問演習はとても効果的な志望校対策といえます。 早めに過去問演習を始めた方が、より早く自分の弱点に気づくことになり、余裕を持って対策を立てられるので、今から取り組み出して良いかと思います。 具体的な進め方ですが、はじめのうちは、得意な分野からでも、近い年度からセットで解いていっても、好きなように進めればいいと思います。(直前期の演習用に、最近の2、3年度分は残しておくことをお勧めします。) 時間制限も秋ごろまではかけなくていいと思います。 とにかく、 🔆その問題がどの種類の問題なのかを考える (多くの過去問集には難易度指標がついているのでそれを参考にしてください。鉄緑のものが詳しくて良いと思います。) 🔆標準問題を通して基礎知識の応用方法を吸収していく (重要なポイントをまとめているのはとてもいいと思います!自分も大事だと思ったところをルーズリーフに書き溜めていき、試験前にはファイリングしたものに目を通していました。) 🔆基礎問題や標準問題が解けなかった場合、どうして解けなかったのかを考え、次に同じようなところで詰まらないようにするにはどうすればいいか考える 🔆基礎知識の抜けに気付いた場合は、適宜チャートを見返したりして復習する といったことを意識して進めてください。 注意点としては難問の復習に時間をかけすぎないことです。必要最低限の知識だけ吸収してとばしましょう。 色々と書きましたが、この辺りのことは「受験の叡智」という本に、より詳しく、説得力のある形で書かれているのでぜひ読んでみてください!1b:T13f3,こんにちは!RIZと申します。 問題集の問題は解けるけれど初見の問題では解けなくなるということですね。 まずとても当たり前の話をしますが、数学は問題文から解答を考えなければなりません。現在の、問題集の問題は解けるけれども初見の問題では手が止まってしまうというのは、単に問題集の答えを覚えているだけに他なりません。そこで、今回は初見の問題でも解けるようにするためにはどのようにすれば良いかについてお話しします。 前提として、数学の公式や定義はしっかり学習しているとします。もし質問文に書かれている数学用語というのがこうした公式や定義であるなら、定義はまずしっかり覚えてください。そして公式についてはできれば丸暗記するより、導出できるようにしたほうが良いです。ただもう時間があまりないので最悪丸暗記でもいいですが、導出できるようにすることで、なぜその公式が成り立つのか理解できるので覚えやすくもなりますし、もし忘れてしまっても対応できるようになるのでおすすめです。例えば三角関数の2倍角とか3倍角なんかは加法定理とか、数3ですがド・モアブルの定理などから簡単に導出できますよね。加法定理を毎回導出するのは流石に面倒ですが、2倍角や3倍角を加法定理から導出するのは少しの時間でできますよね。このようにあまり覚えていなくても簡単に導出できる公式はなるべく導出できるようにした方が良いです。 さて、話を戻しますが、以上のように公式や定義が頭に入っていることを前提として、初見の問題でどのように対処するべきかについてお話しします。まず冒頭でもお話ししたように、数学は問題文だけから解答を考えなければなりません。そこでまず、問題文の条件に着目します。条件というのはいろいろあります。例えばnを自然数とするとか、x、yが円の方程式を満たしているとか、垂直に交わるとか、さまざまです。他にも、直接的には書かれていないけれども重要な条件もあります。例えば与えられた式が対称式であるとかです。こうした条件から、解答を考えていきます。例えば上の例で言えば、nを自然数として、かつnに関する命題が与えられて証明しなさいといった問題であれば、自然数かつ証明問題であることから数学的帰納法が浮かびますし、x、yが円の方程式を満たしていて、かつx、yの2変数からなる関数の最大最小を考えたい時、xとyが円の方程式を満たすという条件から、θを媒介変数としてx、yをcosθとsinθで置くとかが考えられます。他にも、垂直に交わるという条件があれば、例えばその垂直に交わる直線の傾き同士の積は−1とか、内積0とか、あるいは図形的に三平方の定理を利用することも可能かもしれません。以上のように、条件を見たときにいろいろなことが考えられるようになることで、初見の問題で同じような条件が出てきたときに対応できます。もちろん入試問題というのは問題集には載っていない初見の問題である場合がほとんどです。なので普段解いている問題と全く同じでないのは当たり前ですが、条件に関して言えば部分的に共通していますよね。なのでこうしたことが想起できるようになれば、初見の問題でも対応できるようになるわけです。しかしこのように、条件を見てそこから解法を想起するというのは初見では無理ですよね。それを問題集から学ぶわけです。つまり、ただ問題を解いて、解けなかったら答えを見て覚えて終わりではなく、解法を見たとき、それが「なぜ」そうなるのかを考えます。そして、もし自分が初見でその問題を解くとしたら、まず問題文のどの条件に着目するのかを考えます。このようにすることで、解法のストックを増やしていくわけです。とにかく、解答を見たものでも初見だったらどうするのか、そして「なぜ」そうするのかまで説明できるようになることで、初見の問題でも、それまでストックした解法の引き出しから解法を想起でき、対応できるようになるわけです。なのでまずは今までやった問題集で、問題文のどの条件に着目して、「なぜ」その解答になるのか考えながら学習するようにしてみてください。以上になります。ご質問などありましたらコメント欄の方でお願いします!2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=GA3CgWoBTqPwDZPudHDK","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"数学の入試問題が解けない"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",7,") コメント(",0,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"5/4 16:32"}]]}],["$","div",null,{"className":"coach-mark 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。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":null,"clientUserName":"のら","infoString":"高3 長野県 金沢大学志望","adviceId":"GA3CgWoBTqPwDZPudHDK"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose whitespace-pre-wrap","children":[["$","div","consultation-part-0",{"children":[null,"国公立志望の理系です。\nイップット系(基礎問)の参考書をほぼ完璧にし、入試問題集の「理系数学の入試の核心」という参考書をしばらくやったのですが全くできません。\nこのまま進めていっても入試問題が解けるようになるとは思えません。基礎に戻るべきでしょうか。"]}]]}],["$","div",null,{"className":"pt-4","children":["$","$L14",null,{}]}],null]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"回答"}],["$","div",null,{"className":"mb-4","children":["$","$L15",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_CB952DE833A841A4A405640DFCA48A83.jpg?alt=media&token=0a716431-5408-4031-bb2a-b6d938b0838c","adviserName":"MiMi","adviserDepartment":"九州大学理学部","adviceId":"GA3CgWoBTqPwDZPudHDK"}]}],["$","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":[["$","div","advice-part-0",{"children":[null,"基礎が完璧なら入試問題が解けないのはまた別の問題ですね。\n受験数学は基礎例題という鍵を難題という少しずれた鍵穴に適応して鍵を開けるという操作に近いと考えています。\nつまり鍵がなければ解けないし鍵があってもその鍵と穴とのズレを見分けれなくても解けないと言うことです。なので入試問題が解けるようになるには何が例題と同じでどの例題とどの例題を組み合わせてどこを変形すれば解けるかを考えるということでそれが最も難しいのです。つまり基礎を押さえたならば次は入試問題を考えてみる、それでできないならば模範解答をみてこの部分はこの例題と同じだ、この部分はこの例題に近いからこうやって式変形してるからうまくいってるんだ、って考える、こうやっていると難しい問題にも対応できるようになるとおもいますよ♪(文章が拙くてすいませんm(_ _)m)"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_CB952DE833A841A4A405640DFCA48A83.jpg?alt=media&token=0a716431-5408-4031-bb2a-b6d938b0838c","adviserName":"MiMi","adviserDepartment":"九州大学理学部","adviceId":"GA3CgWoBTqPwDZPudHDK","numberOfFan":25,"clipsAvg":7.017241379310345,"adviceRateAvg":4.28125,"profile":"現役数学科の1回生です。数学単科家庭教師してます。\n少しでも数学に悩む人を助けたいです。\n数学だけならずその他生活とうにも答えていきます。\nよろしくです♪\nツイッターで質問受けます。\n「数学メイク」(@only_eye_shadow)"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink パンフレットバナー画像","className":"mt-4 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mb-1","children":"あなたの問題は、どこが分からないのかが、分からない状態にあることだと思います。\n\n私は文系なので、数学については詳しくはわかりませんが、\n\nどこから分からなくなったのか?\n何が苦手なのか?\nをはっきりさせる必要があります。\n\n数学で言うならば、\n\n公式や、定義などの、基本となる知識\n基礎問題\n練習問題\nというステップで参考書などは作られてることが多いです。\n\nあなたは、公式や定理が分からないのか?\n基礎問題になると解けなくなるのか?\n解けなくなる時は、どこから分からなくなるのか?\n練習・応用問題になると分からないのか?\n\nどこから躓いているのかが分からないと、漠然と数学嫌いという逃げになります。\n\n1ステップずつレベルを上げていき、どこから分からなくなるのか?を明確にしましょう。\n\nあとは、量をやりこむことで、自信も付きます。最低でも三周、できるなら、間違えたところだけでもいいです。\n5周、10周しましょう。いやでもできるようになります。"}],["$","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 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":"共通テスト 数学参考書"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは!東北大学文学部のkitaです!\n僕も共通テスト型の問題は苦手で、本番もとても足を引っ張りました😅\nその経験からお答えさせて頂きます!\n\nおっしゃる通り、基礎はかなり大切です。\nただ、おそらく分野によって様々だと思います。ですので、分野別に勉強することをおすすめします!\n\n具体的には、共通テストだと思考力などかなりめんどくさいので、まずはセンターの過去問を1年か2年解いてみてください。\nこの時は、時間は気にせず、自分の今の実力でどこまで行けるか、を計測します。\nそして、すんなり解けたり、時間をある程度かけたら解けたりした分野は、それなりに基礎はできています。\nしかし、全くできなかった分野は基礎が出来ていません。\nその見極めをしてください🙌\n\nその後、基礎がある程度できている分野は、まずはセンターの過去問でいいので、時間を意識して解きましょう。共通テストの過去問や、実戦問題集でもいいですが、共通テスト特有の思考力というより、まずは基礎を時間内にとくために、センターをオススメします。\n\n\nまた、基礎が全くできていない、と感じた分野に関しては、教科書をおすすめします。\n基礎ができていないと感じる人の多くは、教科書の理解がしっかりとしていません。\nまずは、教科書を固めましょう。\n\nただ、教科書でも理解が難しかったりなど、分野によってはあるでしょう。\n\nそういう場合は、\n\n高校の数学I・Aが1冊でしっかりわかる本、のような入門レベルの参考書や、\n改訂版 坂田アキラの 2次関数が面白いほどわかる本、の様な分野別の参考書をオススメします!\n\nこれらの参考書で理解が出来たら、上記のようにセンターで対策しましょう。\nまた、ある程度できてきたなと感じたら、実戦問題集などで共通テスト形式に移行しましょう!\n\n偉そうに書きましたが、僕も数学は本番全くとれませんでした😅\nですが、受験は総合点数の勝負です!\n苦手教科は、平均や6割など志望校の最低ラインまで持っていき、得意教科で安定して高得点をとる事も大事ですよ😉\n\n\n数学の様な、理系科目は中々すぐには結果が出ません。しかし、コツコツやっていれば必ず報われる教科でもあります!\n辛いかもしれませんが、絶対に諦めないでください🙌🙌\n\nでぃあんさんの、目標が達成されることをお祈りしています。頑張ってください!!\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary mr-1","children":["$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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