已知圆X2+Y2+8X-6Y+21=0与直线Y=MX交于P,Q两点,O为坐标原点,求向量OP乘OQ
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![已知圆X2+Y2+8X-6Y+21=0与直线Y=MX交于P,Q两点,O为坐标原点,求向量OP乘OQ](/uploads/image/z/11467331-35-1.jpg?t=%E5%B7%B2%E7%9F%A5%E5%9C%86X2%2BY2%2B8X-6Y%2B21%3D0%E4%B8%8E%E7%9B%B4%E7%BA%BFY%3DMX%E4%BA%A4%E4%BA%8EP%2CQ%E4%B8%A4%E7%82%B9%2CO%E4%B8%BA%E5%9D%90%E6%A0%87%E5%8E%9F%E7%82%B9%2C%E6%B1%82%E5%90%91%E9%87%8FOP%E4%B9%98OQ)
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已知圆X2+Y2+8X-6Y+21=0与直线Y=MX交于P,Q两点,O为坐标原点,求向量OP乘OQ
已知圆X2+Y2+8X-6Y+21=0与直线Y=MX交于P,Q两点,O为坐标原点,求向量OP乘OQ
已知圆X2+Y2+8X-6Y+21=0与直线Y=MX交于P,Q两点,O为坐标原点,求向量OP乘OQ
x^2+y^2+8x-6y+21=0
设p(x1,mx1) q(x2.mx2)
向量OP点乘OQ=x1x2+m^2x1x2= (m^2+1)x1x2
x1x2是方程x^2+m^2x^2+8x-6mx+21=0的两解
x1x2=21/(m^2+1)
向量 OP点乘OQ=x1x2+m^2x1x2=(m^2+1)x1x2=21