(1)∵MF1+MF2=2a=4,∴a=2,设椭圆方程是x^2/4+y^2/b^2=1,∵M在椭圆上,∴1/4+9/(4b^2)=1,解得b^2=3,∴椭圆C的标准方程是x^2/4+y^2/3=1
(2)设A(x1,y1),B(x2,y2),将直线方程代入椭圆方程化简得(4k^2+3)x^2+8kmx+4m^2-12=0,则x1+x2=(-8km)/(4k^2+3),x1x2=(4m^2-12)/(4k^2+3),y1+y2=k(x1+x2)+2m=6m/(4k^2+3),∴以AB为直
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