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x − + = y 1 0, 3 x + 2 y − 12 = 0

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(1)

次の問いに答えよ。

(1) 2 直 線

8 x + 7 y − 19 = 0, 3 x − 5 y + = 6 0

の 交 点を 通り,点

( 4, 1) −

を通る直線の方程式を求めよ。

(2) 2直線

x − + = y 1 0, 3 x + 2 y − 12 = 0

の交点を 通り,直線

5 x − 6 y − = 8 0

に平行な直線の方程式を 求めよ。

(3) 直線

y = k x ( + 1)

k

の値に関係なく定点を通る。

定点の座標を求めよ。

(4) 直線

(2 k + 1) x − ( k − 1) y + 3 k − = 1 0

k

の値に

関係なく定点を通る。定点の座標を求めよ。

74.直線群

参照

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