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数学の難しい問題というのは解き方の展望が見えてこないものが多くあります。なので、正確に文章を読んで、文章の中からヒントを拾ったり、式の形をみて、使えそうな公式や、定石となる解き方を考えてみることが必要になります。おそらくランボさんはこのようにして、いくつか選択肢に上がった解法の中に正解となる解法があったのにそれが使えなかった、ということだと思います。しかし解き方を思いついてから最終的な解答方針まで見えてくることはほとんどないと思います。難しい問題はイメージとしては壁が2〜3段階あるという感じです。最初の足がかりとなる解き方をして出てきた式が解けない。そして再び考える。それに対して解き方を考えまたやる。問題を解く時はこれの繰り返しになってきます。 難しめの問題のイメージを話したので、次は勉強方法について書いていきたいと思います。数学は多くの問題集に手を出すより、一冊完璧に、とよく言いますが、その通りだと思います。なぜなら、結局一冊の中に大方必要になってくる解法は全て入っているからです。そして例えばプラチカであればその単元ごとにまとめて学習していくことをお勧めします。その時に確率であれば、P型、C型、漸化式型、円や数珠順列、条件付き確率、じゃんけんや、勝敗を決めるパターン、etcがあると思うので、そのパターンを「漏れなく、だぶりなく」身に付けるとともに、どのパターンの問題はどうゆうような問題文になっているのかを自分なりに考察することが大切です。例えば、簡単な例ですが、組み合わせの時に同じようなものを区別するかしないかで解き方が変わると思います。このように問題文や式を観察して、どのときにどのパターンを使うことが多いか分類すると良いでしょう。このとき、「漏れ」がないことで、どれかのパターンに帰着し、「だぶり」がないことで、実は同じ解法なのに出題形式が違うから両方覚えてしまって、どっち使うか迷うような手間が省けます。そこを意識して勉強するのがいいと思います。 最後に過去問についてですが、過去問はあくまで出題形式、傾向や、時間などを確認して実践するものだと思っています。なので直近6年のものは残しておくべきでしょう。またマスターって言葉の定義は曖昧です。マスターが過去問の解き方を覚えるだけであるなら無駄だと思います。問題を見て、なんでこの解法をしたのか考え、そして始めてその問題を見たと仮定したとき、その問題文からどんなキーワードを拾ったら、自分がその解法にたどり着くかというところまで考え、身に付けることができて、始めてマスターしたと言えます。それなら過去問のマスターはかなり有用だと思います。数学は初見で考え、解いて、解答をみて、終わる人が多く、初見で考えることが重要だと思われがちですが、それを可能にするには解答をみた後の上記の考察がもっとも重要になると思います。 試験本番までまだあと4ヶ月あります。十分に身に付けるだけの時間はあると思うので最後まで頑張ってください。応援しています。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=WFxjLGUBp00JfyF5gD83","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold 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mb-4","children":[["$","div","advice-part-0",{"children":[null,"解いてみて解ければいいですが、ある程度考えて解けなかったら解答を見てしっかり理解しましょう。一つ一つの式について何故そうなるのかを考えましょう。考えてもわかなければググるなり聞くなりして解決しましょう。たまに聞いても納得できない、わからないことがありますが、その時は何がわからないのかをチェックしておきましょう。賢くなった未来の君ならわかるかもしれません。理解できたとおもったら、何も見ずにもう一度解答してみましょう。ちゃんと解けたら次の問題に行きます。それを何周もします。3周やったからオッケーとかありません。自分がこの問題集はものにしたぜと思えるくらいやりましょう。あとやっていて身についている感じがしなければ、名門の森から良問の風にランクを落としましょう。もし良問の風でも難しいならさらに基礎的な問題集にしましょう。"]}]]}],["$","div",null,{"className":"mb-4","children":["$","$L16",null,{"adviserImageUrl":"https://firebasestorage.googleapis.com/v0/b/unilink-48e75.appspot.com/o/images%2Fs_D13D6D8374D9481D80F65CA392FBADF0.jpg?alt=media&token=5808edec-da16-46da-b138-bf92b96be9c3","adviserName":"てっつん","adviserDepartment":"大阪大学基礎工学部","adviceId":"WFxjLGUBp00JfyF5gD83","numberOfFan":43,"clipsAvg":9.212765957446809,"adviceRateAvg":4.48,"profile":"大阪大学基礎工学部化学応用科学科4年\n現役合格\n出身高校は偏差値59の自称進学校\n予備校はいってません\nセンター79%センターの判定D\n自分は地アタマが良くなくて色々苦労したのでその経験で皆様の役に立てればと思います。"}]}],["$","div",null,{"children":["$","$L7",null,{"href":"https://ck.jp.ap.valuecommerce.com/servlet/referral?sid=3364577&pid=884970531&vc_url=http%3A%2F%2Fshingakunet.com%2F%3Fvos%3Dnrmnvccp0000100","rel":"nofollow","target":"_blank","children":["$","$L8",null,{"src":"/images/document_request_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink 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text-caption line-clamp-2 mb-1","children":"Stayさん、初めまして!\n\nあくまでも私の意見なので参考までにしていただけたらと思いますが、この時期だったら解説をよく読んで次に行っても良いと思います。\n\n基礎ができる前だとやはり解答の流れなどを覚えると言う意味でもしっかりと書くほうがいいですが、ある程度基礎は固まっている場合にはわざわざ書く必要はないかなと思います。\n\n書いて覚えるよりかは、分からない問題でなぜその解法になっているのかを意識しながら解説を読むことの方が大事です。\n\n私が受験前の時期にやっていたのは、参考書などを解くときは最初の冒頭(方針作り)だけ書いて残りの計算などは飛ばしていました。その後に解答を見て方針が合っていれば次の問題に行くという感じでした。\nもちろんそれだけだと計算力が落ちてしまうので、過去問はしっかりと最後まで解いていました。\n\n\n参考になれば幸いです。\n応援しています。頑張ってください!"}],["$","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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mb-1","children":"その感じよくわかります。\n\n私の経験からお伝えするならば、あなたがお考えのようにたくさん問題を解くことと、さらに付け足すならば、制限時間を決めて難問と向き合うことが打開のカギになります。\n\n\n1つ目のたくさん問題を解くことには大きく3つの目的があります。\n\n①典型問題の典型的な解法を身につけること。\n②問題の捉え方の視野を広げること。\n③計算ミスや勘違いを防ぐ注意力を高めること。\n\n①においては、いわゆる標準レベルの問題に相当しまして、問題集などでは例題として取り上げられていることが多いです。この手の問題は考え方を理解した上で動きをパターン化させてしまうのもアリだと思います。\n\n②については発想力です。よく問題を解いていて「こういう風に考えれば良かったのか」とか「着目する場所が違った」と思った経験はございませんか?いわゆるこの発想力を高めるには演習の経験値を積んで、問題の見方や捉え方を知っていくしかないと思います。\n\n③はおそらく最後まで悩むものです。このようなミスで本番減点されないためにも演習量は確保しなければなりません。\n\n無意識的にこの目的が達成されますので、ひたすら問題を解く効果は実感しにくいですが、大変重要なものです。\n\n2つ目のきちんと難問と向き合うことについては、上述した②に近いものがあります。つまり、難問は一見問題文を読んだだけでは解法が見えてきません。\n\nそれを打破するには、とにかく問題文から分かることを書き出してみる、その書き出されたものから他に分かること、ヒントはないかと悩み、少しずつ紡いでいくことで解法が見えてくることが多いです。\n\n長い時間粘っていても効率が悪いですので、きちんと時間を決めて、その間はひたすらあれこれ考えて解法の糸口を見つける経験を日頃から積んでいると、自力で解ける問題が増えてくると思います!\n\n\nおそらく入試本番でも悩むような難問は出てきます。\nそこで自力で解法を見出せるかどうかは、やはりたくさん問題を解く経験値と日頃から難問と向き合ってきたかの2つがキーになると思います!\n\n"}],["$","div",null,{"className":"flex 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"過去問の解き方、復習の仕方"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"過去問を解くときに、完全に内容を理解しながら解ける人はなかなかいません。\n内容なんか全然わかんないけど、なんとなくぼや〜とイメージが湧いて、なぜか問題は解けているというのが大抵の人の場合で、それで大丈夫です。\n\n今あなたがされているように復習の際にしっかりと時間をかけて問題を理解しようとすることが大切です。\n時間はかかりますが、いかにきちんと復習をしているのかであなたの点数の伸び方は違ってきます。\n\n以前に長文の読み方について他の方の質問に答えているので、解き方についてはそちらを読んでみてください。参考になるかもしれません。\n\nもう1つの長文についての質問にも書いているのですが、問題中に出てきた単語で知らないものはその都度、解いている時に印をつけるなどして、復習の際に調べるなどして知識を増やすことが大切です。ただ、あまりにも片っ端から調べて、注釈のついているものまでまとめる必要はありません。\n \n時間をかけることは大事ですが、ほどほどに。\n\n応援しています。"}],["$","div",null,{"className":"flex mb-1","children":[["$","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":[]}],["$","path","1",{"d":"M12 6c1.1 0 2 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"わからない問題にかける時間について"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"それは分野によって異なります。\n例えば 微分積分の問題は15分程度考えてわからなかったら答えを見ても良いと思います。\nなぜなら 微積はわりとワンパターンなので覚えたら終いだからです。\nそれに比べて 整数問題はワンパターンでは解けません。なのでじっくり考えるべきです。 どうしてもわからない時はその問題を一旦解くのをやめて、時間をおいて考えてみてください。 意外とわかったりします。\n\n数学の偏差値を上げるためには 勉強の際 一問を一問で完結させないことがポイントです。 そのためには 問題を解いたら その類題も解いてみたり、難しい問題が出て来たら どこの発想がなくて解けなかったのかしっかり分析することがひつようです。\nそしてもし過去問演習や模試の復習でわからない問題が出て来たら、 解答をすぐに見るのではなく、 思考のフローチャートを書いてみてください。\n\n具体的にいうならば\n三角関数の問題を解く際\n㊀グラフ㊁加法定理㊂変換公式\n\n→㊂でいこう\nCosだけの式になったから\n㊀tで置換する㊁因数分解する㊂tanに変換してみる\nなどなどと 樹形図のように思考回路を記すんです。\nするとどの状況でどの発想が足りなかったのかが明確になり、次にも繋がる勉強になります。やってみてください。"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"夏までの物理"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"私も昨年同じようなことで悩んでいたので回答させて頂きます。参考にしてください。\n\nまず模試は気にし過ぎないことです。復習して完全に理解したらそれでよしにしてしまいましょう。物理が得意な人でも芋づる式にミスして大量失点してしまうことがあるくらいなので。\n\n本題に移るとセンターの過去問はやったことがありますか?急に何の話って感じかもしれませんが、センターの過去問を解いたことがなければそれで基礎力を確認してみて頂きたいのです。\n\n化学もそうですが、センターの過去問は基礎の良い確認になります。\n(※最初から共テだと戸惑ってしまうかもしれないのでそれはオススメしていないです。センターが取れるようになったらこちらも良い勉強になるので活用して見て頂きたいです。共テ対策でセンター共テの過去問はどうせやると思いますが、早くからやった方が自分の状態がその分早く分かって得だと思います。)\n\n安定して点が取れるなら基本事項には自信をもって良いはずです。逆に点を取れないなら教科書などの基本に立ち戻るべきです。\n\nセンターで高得点を安定して出せるなら名問の森でも良い気がします。名問の森は解説がわかりやすく、基礎事項もまとめてくれているので。ミスしてもそこを突き詰めていけば良い訳ですし。良問の風よりめちゃくちゃ難しいってことは無かったです。あくまで私個人の考えですが。\n\n物理が凄く得意だったわけではありませんがじっくり慌てずにご自身が間違えた問題があればどこをどう間違えたか突き詰めて勉強してみて頂きたいです。\n\nよく言われることですが物理は量より質だと思います。沢山の問題をやっても浅い理解だったら効果は薄いです。逆に一問を研究すること(別の解き方でやってみたり、グラフを描いてみたり、問題になっていないことも考えてみたりすることなど)で沢山のことがわかったりします。\n\nあとは次元のチェック(単位が合っているかの確認)を素早くできるようにすることと極限の確認(m→∞とした時に矛盾しないかの確認など)を意識すれば少しずつ点を伸ばして、理解も深くすることができると思います。\n\n長くなってしまったのでまとめるとセンターの過去問を解いて基礎に戻るか少し応用的なものに進むか考えてみて頂きたいということです。\n\n慌てずに一問一問を完全に説明できる状態まで持っていければ根本の理解に近づくと思います。\n\n参考にどうぞ。\n\n頑張って下さい!"}],["$","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":"初見で解けるようになるには"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは!\n\n早稲田の理系志望ということで、おそらく悩みは数学か理科だと思うので、どちらも対応できるよう回答させていただきます。\n\n・数学\n\n数学ですが、解答を見れば理解できるということで、基礎的な問題の解き方は抑えられているのだと思います。\n\n応用問題は基本的には基礎問題の組み合わせでできていますので、「今まで解いた問題の中でこの問題に似た問題はなかったか」「問題文のこの部分を数式に訳すとどうなるか」という多方向の視点からまずは問題を見るようにしましょう。それだけでも変わるはずです!\n\nそして、この視点からの考え方の見につけ方ですが、やはり問題演習の量が必要です。また、1つの問題に対してじっくり考え、多方向の視点から見ることができるような耐久力と思考力が必要になります。基本的な問題は覚えるのにそこまで時間はかからなかったかもしませんが、ここは時間をかけていきましょう。\n\n1度考えた問題については、あまりに変な問題でない限り考え方を覚えた方がいいです。応用問題にありがちな考え方などもありますし、似た問題が出る可能性もあるからです。\n\nまた、知っているかもしれませんが、僕自身はYouTubeの「PASSLABO」というチャンネルの数学の動画をよく見ていました。1つの問題だけではなく、ほかの問題に繋がる思考のポイント(特に整数など)を効率よく学べるので、疲れた時に見るのがかなりオススメです。\n\n・理科\n\n理科は数学とは違い、思考力のようなところを鍛える必要は数学ほどありません。それよりはとにかく問題演習量を積みましょう。\n\n理科は問題演習をすればするほど伸びる科目と言われます。それは、発展的な問題がそのまま問題文違いや数字違いで出ることが多いからです。これは、理科が数学ほど計算メインの科目ではなく、知識と計算が半々で重要であることに起因します。\n\nですので、もちろん過去問演習などの時には1問1問じっくり考えて、今までやった問題で似たものは無かったかなど考えるのは大事ですが、問題集で全く分からなかったものは潔く解答を見て理解することが大事です。同じような問題を別の問題集でまた解いてみる方が懸命でしょう。"}],["$","div",null,{"className":"flex 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