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定 理 若两平面内有一对相交直线对应平行,则该两平面平行 。

b'. f'. e'. a'. 定 理 若两平面内有一对相交直线对应平行,则该两平面平行 。. d'. g'. c'. b. e. f. g. d. a. c. 平面与平面平行. KC//FG 、 AB//DE ∴ ABC//DFEG. b'. k'. c'. a'. a. k. c. b. 例 1. 过点 K 作直线平行已知平面. m'. n'. n. m. 无穷多条. 可作多少条直线?. 过点 K 且 //ABC 的平面. 满足条件的直线的轨迹是什么?. b'. k'. c'. a'. c.

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定 理 若两平面内有一对相交直线对应平行,则该两平面平行 。

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  1. b' f' e' a' 定 理 若两平面内有一对相交直线对应平行,则该两平面平行。 d' g' c' b e f g d a c 平面与平面平行 KC//FG、 AB//DE ∴ ABC//DFEG

  2. b' k' c' a' a k c b 例1 过点K作直线平行已知平面 m' n' n m 无穷多条 可作多少条直线? 过点K且//ABC的平面 满足条件的直线的轨迹是什么?

  3. b' k' c' a' c k b a 若平面在某投影面内的投影具有积聚性,过点作直线与之平行将如何? m' k'm'方向? 任意 n' n m 在平面具有积聚性的投影面内,直线的投影与平面的积聚性投影(直线)平行。 作平面与该平面平行呢?

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