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UniLink"}],["$","meta","3",{"name":"description","content":"現在理系の旧帝大レベルをめざしています。よく、先輩達がベクトルを極めるとかなり強いと言ってるいるので僕もベクトルを極めたいです。何かオススメの問題集や参考書などありますか?"}],["$","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-2c9c2b8245971fa7.js"],"ClientInfo"] 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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-2c9c2b8245971fa7.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-2c9c2b8245971fa7.js"],"CommentPostButton"] 1a: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-2c9c2b8245971fa7.js"],"AdOnAdviceList1"] 19:T122f,こんにちは~ ベクトル難しいですよね。自分も受験時にかなり苦労しながら習得していったので自分なりの考えをお伝えできればと思います!少々長くなるかもですが助けになれば幸いです! まずベクトルをものにするうえでは大きな壁が3つほどあると思います。 1.概念そのもの ベクトルは今まで扱ってきた数だけのスカラーに加えて方向を考える必要があるのでそれだけで十分考えるうえでの障害になります。 2.計算 ABベクトル+BCベクトル=ACベクトルみたいな図じゃないと理解できないものも多い&分解、内積、位置ベクトルやベクトル方程式など全部が全く違う話に思える単元がたくさんあります。 また、未知数が大量に出てきて3つくらいの数式を連立しないと解けない場合も多いです。 3.幾何との融合 多くの場合ベクトルは図形と融合してくるので数IAで扱ったような内容がわからないと解けないこともすくなくないです。 まず1の場合は正直言って慣れるしかないかと思います。スカラーは生まれた時から20年弱親しんでいるのに対してベクトルは2年程度しか触れてないので最初は難しいとは思いますが、たくさん問題に触れてみたら意外とどうにかなったりします!(ここだけ精神論ですいません笑) 次に2の場合ですが、こちらは何が足りてないのかがわかりやすいので自己分析がかなりしやすいと思います。 もっとも大事なのは公式を覚えること。ベクトルはたくさんあるように見えて実は状況ごとに使える公式の数がとても少ないのが特徴です。(簡単なところでいえば直角が出てきた→内積=0を使える、内分or外分点が出てきた→位置ベクトルの公式適用など) 公式を覚えきってから問題を見ていくと公式が適用できる条件を明確に認識できるようになります。 逆に立式できてるのに解けない場合はただの計算ミスだと思うので焦らずじっくりやればいいだけですしね。文系数学で出るようなベクトル問題の多くは公式を適用さえできれば慎重に解いていくだけで時間はかかっても答えは出せます。5分余計に時間かかっても完答できることのほうがよっぽど大事です! 3の場合も特に恐れる必要はありません。幾何に苦手意識があっても、前述したようにベクトルは使える公式が決まっていて雑に言えば問題がワンパターンになりやすいです。複雑に見える問題でも結局求めなければいけないのは基礎問題とおんなじということが多々あります。初見の問題を解くのは確かに難しいですが、類題を解くだけと考えれば難しくはないはずです。 たくさん書きましたが対策を一つにまとめると 公式を覚える→計算に慣れ、計算力をつける→いくつか問題を解いて解法パターンを身に着ける。 この3つだけです。 とにかく基礎を確実にしてから応用問題に取り組んでいただきたいのと、最初のうちはたくさん文字が出て混乱してしまうかもしれませんが、解法パターンさえみにつければ必要な情報を取捨選択できるようになるので安心してください! 問題演習や解法パターンの習得におすすめな参考書を書いておきます。よかったら使ってみてください!大変だとは思いますが頑張ってください! 教科書ネクスト ベクトルの集中講義 名の通り教科書と他の教材の中間くらいのレベルです。難易度はかなり易しめですが苦手意識が強い場合はこれから取り組むことをお勧めします。 10日で極めるベクトル 解法パターンの習得におすすめです。最初はそうでもないですが、内容がどんどんむずかしくなっていくので最初の7,8日分だけ取り組むのがよいかと思います。また、ほとんどが実際の入試問題からの出題なのでそれなりに歯ごたえがありつつ実践の練習にも役に立ちます。青チャート、フォーカスゴールドなどの例題☆3,4レベルがある程度理解できるなーくらいになってから使うと効果的です。1b:Tfe4,毎日の勉強、本当にお疲れ様です。 私はもともと東京大学理科一類志望で、早稲田大学基幹理工学部も合格しております。 私は、早稲田より難易度の低い大学の過去問を解くよりも、数学の問題集を解くべきだと思います。 そもそも数学の勉強は(他の科目に対しても共通に言えますが)、基礎学力の定着と過去問演習の二種類に分けられます。基礎学力の定着とは、数学の解法の定石を身に着けることです。過去問演習とは、その大学の問題傾向を理解し、その傾向に合わせて対策をし、時間配分の調整などを行うことです。今の6月の段階でするべきなのは、前者の基礎学力の定着です。ここでいう基礎学力の定着とは、公式の暗記などの本当の基礎的なことという意味ではなく、過去問演習に入る前の、どの大学に対しても通用する学力を身に着けるという意味です。 さて、基礎学力の定着のために志望校でない大学の過去問を解くのは勉強効率が悪いと思います。なぜなら、過去問の問題は、学習に効率が良いような問題構成にはなっていないためです。そのため、私は問題集を解くことをお勧めします。そもそも問題集とは一般に実際の入試問題から、学習に有用な問題のみを抽出して、学習に最も効率が良い構構成で並べたものです。適当な大学の過去問を自分で選んでがむしゃらにその問題を解きまくっても、とても効率が悪いです。本当に解かなければならない問題を解かずに、そこまで重要でない問題を解くことになってしまうと思います。そうならないように、問題集は、過去問から適切な問題のみを抽出してくれているのです。 ここで私が推奨したい問題集はプラチカです。プラチカはほぼすべての問題が大学の過去問です。問題集のレベルは、地方旧帝大や早慶を目指す人にちょうど良いです。そして、問題の難易度も今の段階ではちょうど良いと思います。はじめは出展元の大学の名前を見て怖気づいてしまうかもしれませんが、意外と解けてしまうものです。また、プラチカは、このような問題集の中では比較的難易度の低めの問題が集められています。目安としては、地方旧帝大で出題されたら、合格者はほぼ答えられるレベルです。そして、プラチカはとても解説が丁寧です。今のうちはもっと簡単な問題集を解いた方がいいと思っているかもしれませんが、実際は本当に時間がないです。あっという間に夏休みが終わって秋になり、気づいたら本番直前です。問題集というのは一冊を何周も解いて一冊全てを定着させないと意味がありません。発展的な問題集は夏休みの終わりぐらいから解けばいいと思っていると、冬にやっと一周終わるくらいになってしまい、全く問題集の内容が定着しません。 解くスケジュールは、7月末までにすべての問題を一周解き、8月末までにすべての問題をさらにもう一周解き、二学期に入ったら、プラチカで間違えた問題を解けるようになるまで周回しましょう。10月くらいからは、プラチカと並行して、早稲田の過去問演習を始めてしまうのが良いと思います。 何か疑問点や不安があれば、コメントしてください。お答えします。また、他の問題集やもう少し難易度の低い問題集を使ってみたいとお思いなら、一言ご相談ください。他のおすすめの問題集をお教えします。 最後に、早稲田大学基幹理工学部合格を応援しています!!1c:Tf96,昨年度に慶應大学経済学部をA方式で受験した者です。正直なところを言えば、共テ模試で偏差値を70近く取っておかないことにはベクトル云々以前に数学での得点が厳しいです。もちろん模試の種類にもよります。 慶應大学の受験に限った話ではないのですが、ベクトルをはじめとした数ⅡBは特に、基礎の部分をどれだけ理解し、普段九九を言うのと同じレベルまでに仕上げるかというのが大事になってきます。ベクトルの単元に特筆して言えば、空間ベクトルなど難解な小単元がたくさんありますから、普通に解こうにはどうにもならない場合があります。難しいですもんね。私も相当苦労しました。 カズさんは1対1対応をやっているとのことですが、先述の通り、もし共通テスト模試で安定した成績(85-100)を取るのが厳しいようでしたらFocus Goldの✳︎1から✳︎3までの内容を頭に叩き込むのを優先するべきです。 それが完璧になり次第、過去問を解くことをおすすめします。敵は早めに知っておいた方がいいですもんね。 その後に必要な考え方のイメージを持って1対1を実践することをお勧めします。 不安になる気持ちは痛いほどよく分かります。基礎が甘いと言われると、腹立たしいような不思議な感覚になるのもよく分かります。しかしながら、結果のみを見た時に最優先させるべきは基礎の徹底です。 この時に、内容をぬいぐるみとかに説明するようにすると、よりベクトルの単元が仕上がることでしょう。 具体的には、 ①問題で与えられた情報を整理する ②既存の知識で近い解法を試す ③計算ミス等がないか確認をする これらを全て口に出して行うようにしてみてください。 注意点は、書いてあることをそのまま読むだけにならないように説明することです。 最初は馬鹿馬鹿しいと思うかもしれませんが、この癖をつけることで、頭の中で情報を整理して解放を試すという受験数学において必須の能力が格段に向上します。 私も高校時代に恩師にこの方法を提案されたときは、馬鹿にしているのかと思いましたが、実践してみたところ共通テストは9割をくだらなくなりました。本番もしっかりと9割以上の得点が出来ましたので、効果は実証済みです。慶應経済の数学でもマーク部分は満点でした。 ここからは慶應経済の数学についての話に移ります。 慶應経済に関して言えば、最初の3つの大問(マーク式)は完答をベースに、残りの3つの大問(記述式)で部分点を重ねるという方法が最も効率の良い点数の稼ぎ方だと思います。ネット等で調べても恐らくは同様のことが出てくると思います。 (私も本番では記述で手こずったのでなんとも言えない部分はありますが、自己採点ではなんとか全体で75%は死守できました。このことからもマークは90%を切るとかなり厳しくなると思って間違い無いと思います。) 長くなりましたが、結論としては、まずはFocus Goldの✳︎1-3を徹底、その後に過去問を解いて傾向や解答への持って行き方のイメージを掴む。その上で1対1を実践。 10月も近づいて、受験生は皆厳しく苦しい秋がやってきます。カズさんが慶應のサイトに受験番号を入力した後出てくる文字が合格の二文字であることを願っています。季節の変わり目、お体にはお気をつけて、ぜひ頑張ってみてください。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=9hJj0GoBTqPwDZPuFgpV","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"}]}]}],["$","h1",null,{"className":"text-xl font-semibold mb-2","children":"ベクトルを極めたい"}],["$","div",null,{"className":"flex justify-between mb-4","children":[["$","div",null,{"className":"text-left text-xs text-caption","children":["クリップ(",1,") コメント(",0,")"]}],["$","div",null,{"className":"text-right text-xs text-caption","children":"5/19 13:58"}]]}],["$","div",null,{"className":"coach-mark mb-4","children":"UniLink利用者の80%以上は、難関大学を志望する受験生です。これまでのデータから、偏差値の高いユーザーほど毎日UniLinkアプリを起動することが分かっています。"}],["$","div",null,{"className":"mb-4","children":["$","$L13",null,{"clientImageUrl":null,"clientUserName":"あ","infoString":"高3 東京都 大阪大学志望","adviceId":"9hJj0GoBTqPwDZPuFgpV"}]}],["$","div",null,{"className":"mb-8","children":[["$","div",null,{"className":"leading-loose 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"旧帝大に受かるぐらいの物理の力をつけれる問題集"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"こんにちは!東工大一年のたまちゃんです。\n私のオススメの参考書、問題集を紹介します。\n1.基礎レベル\n 「物理のエッセンス」 言わずと知れた名著。正直\n この1冊で物理に必要な知識を全て得られると言\n っても過言ではない、それくらいおオススメです\n2.標準レベル\n 「良問の風」 物理のエッセンスの次のレベルに該\n 当する問題集。エッセンスと同じ著者のため、接 \n 続もスムーズ。ただ、問題量がそこそこあるため\n 苦手な分野を重点的にやる方が良いかも…\n3.難関大レベル\n 「名門の森」 難易度は結構高い。最初はあまり解\n けないかもしれないが、折れないこと。わから \n ない所はエッセンスや教科書に戻る。解説は結 \n 構詳しい。\n4.物理で差をつけたい人\n 「物理 標準問題精講」 難易度は物理問題集の中\n で最高峰。問題数が比較的少なく、周回しやす \n い。解説も丁寧。\n\n番外編\n 「重要問題集」 典型問題のほぼ全てを網羅して\n おり、網羅度が非常に高い。難易度は名門の森\n くらい。網羅度は名門の森より高いが、解説が \n 名門の森の方が詳しい。\n 「難問題の系統とその解き方」 難易度は最高\n 峰。標準問題精講とほぼ同じレベル。問題数\n が多いが、解説が雑。解説の詳しさは標準問\n 題精講の方が上。演習問題は解説はほぼない\n 思った方が良い。やるなら、例題だけになり\n そう。ただ、最近改訂されたらしく、解説が\n 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items-center py-4","children":[["$","div",null,{"className":"flex-1","children":[["$","div",null,{"className":"mb-1","children":"問題集はどこまでやるべきか"}],["$","div",null,{"className":"text-xs text-caption line-clamp-2 mb-1","children":"文系なのですが、回答します。\n問題集は正直どれでもよいと思います。大事なのは何周もすること。\n今見ると、色んな問題集をつかってらっしゃるようですが、極論は1冊でも良いと思う。とくに単語とか。ちなみに回答者はターゲット1900?1800?をつかっていた。単語はそれしかつかっていない。\n\nあとは、この時期なのでそろそろ過去問中心の生活にシフトしましょう。模試ではAなのに落ちてしまった、、、という人は過去問ができないからだと考えられます。\n志望校の過去問を研究し、傾向をつかんでね。\n物理に関しても、過去問にだいたい傾向がのってるので分野配分を考えてやりましょう。大学によって、毎年出ている分野などあったりするのでそこは当然やろうね。\n\nあとは、理科大やマーチに行く人は、現実問題、早慶落ちが多いです。なので、早慶に受かる意識でいったほうがよいかと思う。過去問も早慶もやってみたらどうかな。\n\n質問があればお気軽にどうぞ。(但し理系科目のこれこれの解法等を教えるのは厳しいです、、すみません)頑張って!"}],["$","div",null,{"className":"flex mb-1","children":[["$","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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