求点(3,-1,-1)关于平面6x+2y-9z+96=0的对称点的坐标 求一点关于平面对称的点的问题
\u539f\u70b9\u5173\u4e8e\u5e73\u97626x+2y-9z+121=0\u7684\u5bf9\u79f0\u70b9\u662f()
\u5982\u56fe
\u89e3\uff1a
\u8fc7\u70b9(0,0,0)\u4e14\u5782\u76f4\u4e8e\u5e73\u9762\u7684\u76f4\u7ebf\u65b9\u7a0b\uff1a
x/6=y/2=z/(-9)
\u6c42\u76f4\u7ebf\u4e0e\u5e73\u9762\u7684\u4ea4\u70b9\uff0c\u4ee4
x/6=y/2=z/(-9)=t
\u5219
x=6t
y=2t
z=-9t
\u4ee3\u5165\u5e73\u9762\u65b9\u7a0b\uff0c\u5f97
36t+4t+81t+121=0
t=-1
\u6240\u4ee5\u4ea4\u70b9(-6,-2,9)
\u5bf9\u79f0\u70b9:
x=2*(-6)=-12
y=2*(-2)=-4
z=2*9=18
\u6240\u4ee5\u9009 D
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