数学59 views·Updated May 19, 2026·1 page

ベクトルで直線・平面を学ぼう

ベクトルで図形を表現する方法を学ぼう！直線や平面をベクトルで表すと、複雑な図形問題がシンプルに解けるようになる。今回はベクトル方程式の基本から実際の使い方まで、テストで確実に点数を取るためのポイントを整理するよ。

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平面・直線のベクトル方程式

直線や平面を座標だけで考えるのってめんどくさくない？ベクトル方程式を使えば、もっと直感的に図形を理解できるんだ。ベクトルで図形を表現する方法は、見た目も美しいし計算も楽になるから覚える価値がある。

まず押さえておきたいのが位置ベクトル。これは原点Oから任意の点Pまでのベクトル $\overrightarrow{OP}$ のこと。つまり、その点がどこにあるかをベクトルで表したものだね。

方向ベクトルは直線がどの方向を向いているかを表すベクトル。直線上の任意の2点を結んだベクトルと同じ方向になる。一方、法線ベクトルは平面に対して垂直なベクトルで、平面の「向き」を決める重要な要素だ。

重要ポイント： 直線は「1つの点 + 方向ベクトル」、平面は「1つの点 + 法線ベクトル」で決まる！

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数学59 views·Updated May 19, 2026·1 page

ベクトルで直線・平面を学ぼう

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平面・直線のベクトル方程式

重要ポイント： 直線は「1つの点 + 方向ベクトル」、平面は「1つの点 + 法線ベクトル」で決まる！