已知曲线C的方程不是F(X,Y)=0,则下列命题中正确的是( )A.存在点Po(Xo,Yo)∈C,但F(Xo,Yo)≠0,B.存在有序实数对(Xo,Yo),使得F(Xo,Yo)=0,但点Po(Xo,Yo)∈CC.存在点P1(X1,Y1)∈C,但F(X1,Y1)≠0,且存在有序实数对(X2,Y2)
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![已知曲线C的方程不是F(X,Y)=0,则下列命题中正确的是( )A.存在点Po(Xo,Yo)∈C,但F(Xo,Yo)≠0,B.存在有序实数对(Xo,Yo),使得F(Xo,Yo)=0,但点Po(Xo,Yo)∈CC.存在点P1(X1,Y1)∈C,但F(X1,Y1)≠0,且存在有序实数对(X2,Y2)](/uploads/image/z/13312023-15-3.jpg?t=%E5%B7%B2%E7%9F%A5%E6%9B%B2%E7%BA%BFC%E7%9A%84%E6%96%B9%E7%A8%8B%E4%B8%8D%E6%98%AFF%28X%2CY%29%3D0%2C%E5%88%99%E4%B8%8B%E5%88%97%E5%91%BD%E9%A2%98%E4%B8%AD%E6%AD%A3%E7%A1%AE%E7%9A%84%E6%98%AF%28+%29A.%E5%AD%98%E5%9C%A8%E7%82%B9Po%28Xo%2CYo%29%E2%88%88C%2C%E4%BD%86F%28Xo%2CYo%29%E2%89%A00%2CB.%E5%AD%98%E5%9C%A8%E6%9C%89%E5%BA%8F%E5%AE%9E%E6%95%B0%E5%AF%B9%28Xo%2CYo%29%2C%E4%BD%BF%E5%BE%97F%28Xo%2CYo%29%3D0%2C%E4%BD%86%E7%82%B9Po%28Xo%2CYo%29%E2%88%88CC.%E5%AD%98%E5%9C%A8%E7%82%B9P1%28X1%2CY1%29%E2%88%88C%2C%E4%BD%86F%28X1%2CY1%29%E2%89%A00%2C%E4%B8%94%E5%AD%98%E5%9C%A8%E6%9C%89%E5%BA%8F%E5%AE%9E%E6%95%B0%E5%AF%B9%28X2%2CY2%29)
已知曲线C的方程不是F(X,Y)=0,则下列命题中正确的是( )A.存在点Po(Xo,Yo)∈C,但F(Xo,Yo)≠0,B.存在有序实数对(Xo,Yo),使得F(Xo,Yo)=0,但点Po(Xo,Yo)∈CC.存在点P1(X1,Y1)∈C,但F(X1,Y1)≠0,且存在有序实数对(X2,Y2)
已知曲线C的方程不是F(X,Y)=0,则下列命题中正确的是( )
A.存在点Po(Xo,Yo)∈C,但F(Xo,Yo)≠0,
B.存在有序实数对(Xo,Yo),使得F(Xo,Yo)=0,但点Po(Xo,Yo)∈C
C.存在点P1(X1,Y1)∈C,但F(X1,Y1)≠0,且存在有序实数对(X2,Y2),使F(X 2,Y2)=0,但点P(X2,Y2)不∈C.
D.存在点P1(X1,Y1)∈C,但F(X1,Y1)≠0或存在有序实数对(X2,Y2),使F(X2,Y2)=0,但点P(X2,Y2)不∈C.
请说明错的原因,和这是关于那一部分的知识?
已知曲线C的方程不是F(X,Y)=0,则下列命题中正确的是( )A.存在点Po(Xo,Yo)∈C,但F(Xo,Yo)≠0,B.存在有序实数对(Xo,Yo),使得F(Xo,Yo)=0,但点Po(Xo,Yo)∈CC.存在点P1(X1,Y1)∈C,但F(X1,Y1)≠0,且存在有序实数对(X2,Y2)
命题中正确的是ACD
所以错的是B
如果曲线C的方程是F(X,Y)=0,则使F(Xo,Yo)=0的点(Xo,Yo)都在曲线C上,使F(Xo,Yo)≠0的点(Xo,Yo)都不在曲线C上
反之,如果曲线C的方程是F(X,Y)≠0,则使F(Xo,Yo)=0的点(Xo,Yo)都不在曲线C上
这部分应该是在椭圆、抛物线、双曲线那一章讲的