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1a:I[6549,["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-53a773e0095d4429.js"],"CommentItemName"] 1d: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-53a773e0095d4429.js"],"AdOnAdviceList1"] 1b:Tf02,センター試験の集合は、実数の集合を扱うことが多いため、数直線上に図示するのが有効なことが多いです。 目盛の間隔を正確に図示する必要はなく、それぞれの端の大小と、黒丸白丸があっているかが重要です。(黒丸の場合はその点を含む、白丸の時はその点を含まないことを表します。不等号に=が入っているかどうかの違いとも言えます。) 例えば、 p: x>1 q:x≦2 のように与えられていた時、右向きの数直線上に左から1と2の点を書きます。 pについては、x>1(つまり「xは1より大きい」)であることから、先ほど書いた1の点に白丸を書き、そこから右上がりに少し直線を書き、そこから右向きに直線を伸ばします。新幹線のような形になります。この形は、1の点を含まないことを表すもので、白丸と同じ意味ですが、ぱっと見で分かるように両方使います。また、この線がpであることをどこかに書いておいてください。 qについては、x≦2(つまり｢xは2以下｣)であるので、2の点に黒丸を書き、そこから真下に少し直線を書き、左向きの直線を伸ばします。こちらは、電車のような形になります。この形は、2を含むことを表すもので、黒丸と同じ意味です。こちらの線にも、qであることを書いておいてください。 このように、範囲を一つ一つ図示していくと、次のようになります。 _______________ p / 2 ---------○-----●------->x 1 | q --------------- これを見れば、「pかつq」や、「pまたはq」「p⇒q は真か偽か」はすぐに分かるはずです。たとえば｢pかつq｣なら、pとqが重なっているところなので、10 軸>0 判別式≧0 で必要十分ですよね。これは大丈夫でしょうか？ これの少しひねった問題が例えば二次方程式の解が00 f(1)>0 0<軸<1 判別式≧0 で必要十分です。これと先ほどの上の条件と比較すると同じような感じですよね？つまり端点のみに具体的な数字の条件があるときにこのような条件で進めていくのがセオリーです。 上の解法を知識ゼロから解けと言われたら厳しいものがあるかと思いますが、一通り通っていることなら問題を見たときに「あっ、この問題はこの解法かな？」と瞬時に判断できるはずです。その感覚が大事です。「あー、これどうすればいいんだっけ…？」みたいな感じになっているのは良くないです。 これは勉強する時は問題を解き始める前に一瞬立ち止まって考えください。これを意識するしないとでは雲泥の差です。これは私自身、現役の時には気づかなかったことですが、浪人してからはこのことを意識するだけで、解ける問題のレパートリーが増えました。 闇雲にただ問題をこなすだけなら、むしろその場しのぎになってしまいます。それなら、数学の問題とかは時間がないのなら問題をみてこのような解法でいけばいいかなと思えるなら解かなくていいです。 要は、解き方に“意識“して問題演習を行ってください。時間のかける方はこっちの方です。 模試の前とかは、全国模試であれば定期テストなどでできなかった問題の教科書レベルの類題を確認する感じでいいと思います。高校生は部活等で時間がないと思われますので。1f:T103c,①｢この問題にはこの解法だといった定石がおさえられていない｣のが原因か？ →おそらくそうです。 ②どのようなことをすればいいか？学校で配られた共通テスト対策用の問題集でいいか？ →いいとおもいますが、やり方が肝心です。 ③数学Bの選択分野を確率分布にするのはどうか？ →今数列とベクトルに関する知識が全くないというわけではないなら、変えない方が賢明だと思います。 ①について。大学入試共通テストの試行調査の問題を見たところ、おおかたセンター試験と変わらないなという印象を受けました。2つの試験に共通する必要な能力は、高校数学の基本〜標準的な問題に素早く正確に答える能力です。 それをするには、やはり典型問題の解法の記憶が不可欠といえるでしょう。たとえば、教科書にも載っているような公式や定理を正確に覚え(導出の説明ごと覚えたいが、難しいなら最悪丸暗記もやむなし)、どういう場面で使うかも知っておきましょう。公式や定理では無い場合でも、典型問題の解法はまず初めに何をするか記憶してください。このように、問題を読んだらすぐ考えて手が動くように｢定石｣を抑えることが、共通テストの数学には必要です。 共通入試特有の｢思考力を試す問題｣も、結局は知っている知識を使いこなせるかを問うてるに過ぎず、指導要領を超えることは当然ないですから、｢定石｣をしっかり押えた上で、よく読んで典型の問題とどこが同じなのか、どう言い換えられているのかを考えるようにしましょう。やはり全ては、パターン解法の記憶からスタートだと思います。 ②について。では、どのようにすればそれが効果的に得られるかですが、やはりたくさんの問題を解いて覚えるのが一番の近道であると考えられます。問題集は一定の難易度があればなんでもいいです。学校の問題集に加えて、共通テストの試行問題と模試、予想問題、センター試験の過去問なんかも練習材料になるでしょう。 しかし、それらを闇雲に何も考えずに解いて丸つけして、では、先程述べたような｢定石｣に記憶は難しいです。ですから、問題ができなかったときは、何をどのように知っていたら解けたのかを考える癖をつけましょう。｢○○を求める問題では△△が必要だから、初動で□□する｣といったように日本語で整理しておくのもいいでしょう。 そして、時間に余裕があるなら、それを覚えた上でもう一回解答などを見ずに解いてみましょう。そういったことを繰り返して確実に定着させてください。また、それによって計算力が上がることも見込まれます。 ③について。数列やベクトルを、基本のところから全く知らないならまだしも、今から確率分布にするのは得策とは思えません。 ①でも述べたように、共通テスト数学は前提となる知識を知っているのがスタートラインです。典型解法などがそれです。受験する分野を変えるということは、それを一から覚え直すということになってしまいます。いくらできないとしても、さらに知らないものに手を出して、出来るようになることは稀です。 以上のように、知らなければならない事項をしっかり覚え、それを意識しながら十分な量練習すれば、点数は上がるはずです。他の科目の進捗にもよりますが、数学はしっかりやれば安定すると思われますので、まずは志望大学のボーダーを目指してください。参考になれば幸いです。頑張って！20:Tf80,こんにちは。 計算問題はある程度できるけど暗記が絡んでくるとできなくなっちゃうということですね。 特に暗記の割合が大きい有機と無機がきついという感じですかね 僕も暗記苦手だったのですが、これから紹介するやり方で勉強したら本番で90点近く取れたので参考にしてみてください。 その方法は 「問題でわからなかったところを覚える」 です。 〈具体的なやり方〉 ①参考書の問題または過去問を解く （参考書は自分のレベルにあってれば大丈夫です） ②解説を見る ③わからなかった知識を資料集で確認する ④①〜③を繰り返す ⑤定期的に過去問を解いて自分ができるようになってるか確認する 〈おすすめポイント〉 ○必要な知識だけを覚えられる →この方法のポイントは「問題を解いてわからなかったものを確認する」というところにあります。つまり、これで使った資料集には、たくさん確認したところとほとんど見てないところができてきます。たくさん確認したところは、問題でたくさん出てくる（問題を解くのに必要な）知識なのに、自分がわかってないところです。逆にほとんど見てないところは、問題を解くにあたってそこまで重要じゃないところか、自分が理解•覚えられてるところです。そしてたくさん見てるところほど覚えやすいです。こうすることで、問題を解くときに必要な知識を効率よく身につけることができます。同時に問題の解き方も理解できるのでおすすめです。 ○闇雲に覚えるより速い →これは上に書いたことと被りますが、必要なところだけを覚えることに注力している方法なので、時間的にもあらぽんさんの状況にあっているのではないかと思います。 ○資料集で色を色で覚える →多くの資料集はカラーになっていて、色を色で覚えることができます。文字で書いてあるだけだと覚えずらかったものが、カラーのものを見ると少し覚えやすくなります。 なので資料集、特にカラーのものを使うことをお勧めします。 ○過去問で自分の伸びを確認 →本番までの少しの時間で仕上げたいということなので、伸びてないのに同じやり方をやり続けるのはもったいないです。やり始めてからすぐには結果は出ませんが、過去問で伸びを確認するのはおすすめです。 〈注意点〉 ○そもそもの知識がほとんどない状態だと効果が低い →ある程度問題と戦える状態を想定しているので、どの問題も全く歯が立たないようでしたら効果が低くなってしまいます。この場合は問題集の難易度を下げるか軽く全体の知識の確認をした方がいいです。 ○勉強のベースを問題を解くことにおく →知識に問題があると感じるとインプット中心になってしまいがちですが、知識は問題を解くために身につけるものです。なので問題を解くことが勉強の中心においた方がいいです 〈最後に〉 　これも言ってしまっては元も子もありませんが、一人一人自分に合った方法は違います。あくまで参考にする程度にするのがおすすめです。これが絶対だとは思わないで欲しいですが、冒頭でも言いましたが、これは僕が実際にやっていた方法で、それなりにおすすめできます。 　長々とまとまりのない文章を失礼しました。参考になれば幸いです。本番まであと少し、頑張ってください！応援してます！21: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！22:Tc20,こんにちは！ センター数学が全く点数が取れないとのことですね。 目標点数と現在の点数がわからないのでどこをどうしたら良いか、というピンポイントのアドバイスはできないですが、お答えできる範囲でアドバイスしますね。 まず、「いざ問題を解くとなると…」から、「公式の使い方を理解していない」であったり「センター試験に対する経験の不足」が考えられます。 センター試験問題は通常の筆記試験とは違って問題の解法がある程度固定されているので、その流れにマッチしていればスルスル解けるけれど、そうでなければ最初からつまづいてしまいます。 例えば、三角形の面積を求めてくださいと言われた時に「底辺×高さ÷2」以外にもヘロンの公式や内接円の半径を利用した求め方などがあります。 それぞれどんな時に使ったらいいか思いつきますか？ これができるようになるためには、問題の丸つけの時に解答に書いてある公式をなぜ使うのか、他の公式を使って解くとしたらどうしたらいいのかを考えるようにするといいと思います。 次に「経験の不足」についてですが、センター試験の問題は使われる公式や考え方のパターンがいくつか存在します。しかし逆に考えてみればそのいくつかのパターンさえ掴んでしまえばある程度楽に解けてしまいます(もちろん例外はありますが…) なので模試や過去問の丸つけをする際には空欄を埋めるだけでなく、一連の流れを全て自分で書いてみるといいのかなと思います。 そして下の方にあった「時間をかければ解けます」との言葉、解けるのはいいことです、が「時間をかければ」なんて誰でもできます(言葉が悪くてごめんなさい。ですが危機感を持ってもらいたいので…) なのでこれからは一つ一つに制限時間を設けてみてください。 センター試験は一つの第問につきおよそ15分なのでその量と比較していろんな問題の時間を調整してみるといいかと思います。 もちろん最初は難しいので少し長めでも構いませんが解き終わった時にどれくらいかかったかをしっかり把握して、時間内に終われば次は制限時間を短くして、終わらなかったとしても最後まで解いて、なんで時間内に解けなかったのか(公式を覚えていなかった、計算スピードが遅い、計算ミスが多いなどなど)を考えてそれを潰せるように勉強できるといいと思います。 長くなったのでまとめると ①公式の使い方を理解する ②センターの流れを掴む ③時間を決めて解く です。 以上になります。 ひかりさんの求めているものに合っていれば幸いです。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"文系数学を得意にするには"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは。\n\nまず、時間が足りない、という点に関しては、普段から時間を計って解く癖をつけることをオススメします。学校のプリントはどうか分かりませんが、問題集には目安時間が書いてあると思います。\n\n解法については、できるだけ定石を押さえることはできた方がいいと思います。この押さえ方ですが、私は丸暗記するのではなく、例えば公式であれば、どうしてその公式が導き出されるのか、を常に考えて、覚えていました。そうすると、暗記しなくても覚えることが出来る上に、応用がききます。どうしてそのような解き方になるのか、その理由を理解することをオススメします。\n\nマーク問題よりも記述問題をするべきか、については、数学にかける時間が比較的あるならば両方やった方が良いでしょう。しかし、あまり時間が残されていないのであれば、マーク問題に絞っていいと思います。ただし、マーク問題を解くにしても、記述問題だと思って、途中式や説明を省いたりせず解く練習をすることは、効果的だと思います。1つ前の段落でも書きましたが、どうしてその答えになるのか、というプロセスが大事だと思うからです。\n\n確率分布を学ぶかどうか、については、可能であればした方がいいと思います。理由は、本番もしかしたら、確率分布の難易度が低かったり、ベクトルや数列の難易度が高かったりする可能性があるからです。若しくは、自分に合わない問題が出る可能性があるからです。そういう時のために、解ける問題が多いことはプラスになると思います。\n数学は、国語や英語と違って、その時の問題によって点数が大きく左右する科目だと思っています。私自身も、数学は得意だったのですが、本番のマーク試験では失敗してしまいました。本番で少しでも点を稼ぐためにも、選択出来る問題は広げておくに越したことはないでしょう。\n\nまた、60点台を目標にしているとのことで、時間配分のことにも関わってくることなのですが、1題の中の最後の方の難しい問題は捨てる事も大事です。大体6割取るために必要な難易度の問題が解けるようにしておき、本番も6割解けたら次の単元の問題に進むようにするといいと思います。\n\n"}],["$","div",null,{"className":"flex 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