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19: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！1b:Tcba,こんにちは！東工大一年のたまちゃんです！
物理に関しては分野がわからないので、助言しにくいのですが、苦手な分野であったり、忘れやすい分野があるのであればそこを繰り返しやりましょう。
でも、基本的に物理は理解していれば忘れにくいです。熱力学を例に挙げると、定圧変化・定積変化・等温変化などはどうなるとかを覚えていなくても理解していれば何とかなります。ドップラー効果の式なども覚えなくても理解していれば導出可能です。覚えていた方が早いので出来れば覚えて欲しいですが…
例えば、f= の式の分母が観測者だったかな、音源だったかな、うろ覚えだなとなったら導出するのが良いと思います。
化学に関しては電気分解の式は自分で作れます。イオン化傾向がわかれば行けるはずです。反応式を書けという問題は出ないはずなので、反応式の細かいところがわからなくても、この金属に対して水素は〜mol発生しそうだなというのがわかれば良いので、電気分解の反応式は覚えなくて良いです。電池の問題は正極と負極(陽極と陰極)が何でてきているかを覚えていないと無理です。出来れば溶液も覚えて欲しいです。電池に関してはヒントがほとんど出ないので、覚えておいた方が良いです。
深い知識を得るにはやはり理解することだと思います。理解したことは忘れにくいですからね。逆に単純暗記のものは忘れやすいです。また、用語などは何度もやって覚えていくしかないですね。イオン化エネルギーの意味を説明できるかなど結構基本的なことを聞いてきたりもするので、基本用語の意味を覚えることも怠らずに頑張って下さい。また、引っかけもたまにありますので、注意深く読むことも必要です。
やってないところを忘れるのはみんな一緒ですので、そんなに深刻に考えなくても大丈夫です。
東工大の化学はほぼ全ての分野から出題されるので、直前に過去問をやりまくれば、しばらく触れていない分野もなくなると思います。それでも本番にど忘れしてしまうことはあると思います。私は本番でど忘れして一問落としました。ですが、そこで焦らず他の問題を冷静に解くことが大事です。結構そういったメンタル面も点数に関係すると思いますので。
あとは絶対に覚えるんだ！と思って覚えて下さい。単語帳をボーッと眺めても覚えられないように、ただなんとなくやっていると効率が悪いです。残り少ないので、今解いている問題を次いつ復習できるかわかりません。もしかしたら入試までもう見ないかもしれません。ですから、絶対に覚えてやるんだ！という気概を持って勉強して下さい。個人的にはこれが最も重要かなと思ってます。

長文失礼しました。2:["$","main",null,{"className":"px-4 pt-4 pb-4","children":["$","div",null,{"className":"max-w-3xl mx-auto w-full","children":[["$","div",null,{"className":"mb-8","children":["$","$L7",null,{"href":"https://unilink-app.onelink.me/isbO/h6xeh63x?advice=7S8Br4baJa41wH6Y","target":"_blank","children":["$","$L8",null,{"src":"/images/web_to_app_banner.jpg","width":3660,"height":1500,"sizes":"100vw","style":{"width":"100%","height":"auto"},"alt":"UniLink WebToAppバナー画像","className":"mb-4 rounded"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"複素数なのですが！！！！！"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",2,") コメント(",0,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"9/15 13:25"}]]}],["$","div",null,{"className":"coach-mark 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"数3の範囲が終わってない"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"私も受験生時はフォーカスを使ってました！\n数学3はパターン問題が非常に多いので、例題番号の隣に書いてあるテーマ毎にこんな解法で解くんだなと納得しながら演習をしてました。\n例えばAn+1 ＝f(Xn) のパターンは平均値の定理を使って最後にはさみうちの原理。476ページ筑波大\nとか、例題212（445ページ）導関数とグラフの対称\nでは直線x＝aに関して対象ならf（a -x）＝f（a +x）\nなどのように問題に合わせて解放のパターンを知っておくと解答のとっかかりがまるで変わってきますよ！\nポイントは例題の回答の最後に掲載してあるFocusを意識して見直すとパターン参考にするといいです！\n\n数3は微積の分野が頻出なので、複素数と並行的にその分野を集中的に演習することをお勧めします。\n繰り返す上で、個人的に練習問題は解かずに例題だけでも十分ではないのかな？と思います。現に私も練習は解きませんでした。その代わり，解放を覚えるくらいまで例題を何度も解き回し、腕試しに章末をやってました。\n書いてやるのかそれとも口で確認がいいかとのことでしたが、私の意見では書くことをお勧めします。\n数3は計算が半端なく多いので（特に積分）実際に書いて練習した方が計算力アップに繋がり、本番でのミスも減ると思いますよ！\nただ、問題のパターンや解放の手順を思い出す確認をするときなんかは、口で確認してもいいかもしれませんね。その方が時間が短縮でき多くの問題のパターンに触れることができると思うので！\n\nフォーカスは過去問と並行しながら最後まで使い続ける方がいいと思いますよ！\n\nまだニヶ月ほどありますが、最後まで頑張ってください！応援してます♪♪♪\n"}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"複素数平面が絶望的"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは、さかさかです。\n\n\n複素数って最初はなかなかとっつきにくいですよね。\nただ意外と問題のパターンは限られたものしか無いので、複素数の問題は特に解法の暗記が有効かなと思います！\n\n例えば質問文中にあったような同一円上、直線、などというキーワードが出てきたら、複素数ではこう表現できる、というようなものが決まっています。表現の仕方が一通りだけでなく2通りある場合もありますが、それらさえ覚えてしまえばそこまで難しくは無い分野だと思います。\n\nなので青チャートなんかの参考書でとりあえず基礎的な解法を丸暗記してしまうのがオススメです！\n\n\n参考になれば幸いです☺️\n複素数の分野は一度解法をしっかり覚えると逆に点数を落とさなくなるので、頑張ってください！\n"}],["$","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 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"点数取れなくて泣きそうです"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"Pythonさん、いつもお世話になっています。\n\n\n英語は最低点よりも多めに取れていますし、数学も数1はかなり固まっているということなので、焦らず数Aに1ヶ月専念すれば問題はないかと思います！\n\n数Aは暗記でゴリ押せる範囲でもあって、図形に関しては経験がものを言うところもありますが、整数はパターンをある程度暗記すれば難なく解けるかと思います。なので、まずは整数の問題（過去問やそれに似たような形式の問題）をひたすら解いてみて、そこで出てきた解法を\n\n「問題文でこうゆう条件があり、こうゆう内容の問いならこの解法」\n\nというようにノートにまとめておくのがオススメです！それを時々見返して暗記しておくとすぐに点数も伸びるかなと思います。\n\n\n図形についてはいくつか公式がありますが、その公式それぞれに使い時がおおよそ決まっているので、経験値として「こうゆう図形でここが知りたいならこの公式」というのがすぐに思いつくようになることが大事だと思います。\nそして図形問題を考える際には、求めたい事から逆に考えてみて、「Aが求めたいからBを知る必要があって、Bを知るにはCが知れればいいからまずはここの図形に注目しよう」と言うふうに考えると解きやすいです。\n\n\nかなり抽象的な話になってしまいましたが、参考になれば幸いです。\n\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 24","className":"text-subPrimary 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"証明や導出がすごい気になってしまう"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"三味線さん、はじめまして。\n\nお気持ちはすごく分かります。\nたしかに解答の細かいところに疑問を持ったり、その都度公式を導出していると参考書の進むペースは遅くなってしまいますが、その分、質は高くなると思うので全然良いことだと思いますし、むしろそうするべきだと思います。\n\nよく言われる「数学は理解」という言葉は、なぜその公式を使ったのか、なぜその解法で解くのか、なぜその変換を行うのか、もっと細かいことで言うと、なぜその順に解答を記述するのかといったことを理解することです。\n\n「数学は暗記」という言葉もたまに聞きますが、これは単純に英単語みたいに暗記すると言うことではなくて、どうしてこの解法を使うのかを理解した上でどうゆう問題が出たらどの解法を使うのかを暗記すると言うことです。\n仮に理解の過程を飛ばして暗記だけすると、少し問題の形が変わっただけで解法が思い浮かばないということになってしまいます。\n\nそして理解を深めるためには、三味線さんのように細かいところにも疑問を持って問題を解くのが一番の近道です。公式は導出ができる方が理解度ははるかに上がりますし、たまにある公式の導出に基づいた問題なんかも出題されることもあります。\nまた質問文中のことで触れると、なぜ置換積分はこうゆう形でするのか、一次独立とは何か、解答に使われている言葉の意図、こういったことに疑問をもって考えるのはとても良いことだと思います。確認しても忘れてしまうのは人間なので仕方ないことで、確認してその時に理解したことをノートなんかに纏めておきましょう。次に同じような疑問が出た時にノートを見返すことで少しずつ定着して力になっていくはずです。\n私の場合だと2.3回では定着せず、5回とか10回その都度見返すことで定着し始めた感じだったので、忘れているから力になっていないと焦らずに、自分のペースで頑張ってください！\n\n応援しています☺️\n"}],["$","div",null,{"className":"flex mb-1","children":[["$","svg",null,{"stroke":"currentColor","fill":"currentColor","strokeWidth":"0","viewBox":"0 0 24 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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"極める分野を絞るのは良いか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"過去問で出題されている中だと、数列や複素数平面は典型問題が多く、演習が結果に結びつきやすいと思います。\nですが、出題されている他の分野や出題されていない分野に関しても勉強しておいた方がいいと思います。問題に対するアプローチの数を増やすことにもなりますし、なにより、出題される可能性が0では無いからです。\n三角関数単体や指数関数単体で出題されることは、なかなか無いですが、他分野と融合されることは多いのでやっておいて損はありません。\nまた、整数はどれだけ問題に触れたかが大事になったりするので、一対一対応の演習程度は少なくとも解いておいた方がいいでしょう。\n"}],["$","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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items-center py-4","children":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"数三の独学をやめるべきですか？"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"　数Ⅲ捨てはあり得ないと思いますよ。僕は独学で数Ⅲを進めることを強くお勧めします。僕の数三に対するイメージは、「複素数平面とかはちょっと捻られがちだけど、それ以外は全体的にIaⅡbより簡単で、Ⅲのみの大門とか正直点の取り所」と言った感じです。(もちろん難問も数多く存在しますけどね。)たぶん大体の受験生は数Ⅲを学んできますし、彼らの数Ⅲへのイメージも僕と大きくかけ離れてはいないでしょう。つまり、その捨てた第3問は周りの受験者にとって恰好の得点源となり得るということです。\n　他教科での挽回ももちろん可能ですが、英語でも少し遅れをとるとするなら、化学のみでの挽回はいくらなんでも無理があります。数Ⅲにはそれほど自習が困難な単元はないと思うので、是非取り組んでほしいです。\n　なお、僕の感覚では二次曲線は出題されにくい傾向にあります。もし取り組むなら\n(極限→微積)→複素数平面→二次曲線\nですかね、極限と微積はセットの方がいいです。複素数平面を先行させても構いません。"}],["$","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":[["$","div",null,{"className":"flex-1 mr-3","children":[["$","div",null,{"className":"mb-1","children":"数学の勉強をしても、できるようになってる気がしない時は"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"はやとさん、はじめまして！\n\n\nなかなか数学って身についてる実感を得にくいですよね。それでも、しっかりと毎日決めてチャートをやっていれば、力はついていくと思います！\n\n\n今はやとさんが何周目かによって方法も違ってくるかと思いますが、\n\nもし1周目なら、問題を見て分からなかったらすぐに答えを見てもいいので、解法を丸覚えするつもりで進めるのがオススメです！\nチャートは色々な分野のベースとなる問題が載っているので、それらの問題の解き方は基本的に覚えておかないといけないものです。模試や二次試験はこのベースの解法を覚えている上で、問題に合わせて覚えている解法を応用しながら解いていくという感じです。\n\n\n2周目は答えを見ずに自力で解き、分からなかったところにマークをつけておいて、もし余裕があれば3周目にマークの箇所を解きます。\n\n\n1周目で問題に対する解法をしっかり覚えられると、模試などでも成績がかなり上がると思います！\n今までは問題を見てもどう解くのか方針が立てられなかったりしたところも、何となく記憶にある解法から方針を作っていくことができます。\n\n\n進めるペースに関しては、終わらせたい時期と終わらせる問題数を考慮して、問題数を日数で割って、1日の問題数を算出するといいかなと思います！\n\n今からの理想にはなりますが、1周目は夏休み中に終わっているといいかなと思います。\n\n\n\n長くなってしまいましたが、参考になれば幸いです☺️\n質問などがあれば、気軽にコメント欄で聞いてください！"}],["$","div",null,{"className":"flex 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