The midpoint coordinates of the chord cut by the ellipse x2 + 2Y2 = 4 are () A. （13，−23）B. （-23，13）C. （12，-13）D. （-13，12）

The midpoint coordinates of the chord cut by the ellipse x2 + 2Y2 = 4 are () A. （13，−23）B. （-23，13）C. （12，-13）D. （-13，12）

Substituting the straight line y = x + 1 into the ellipse x2 + 2Y2 = 4, we get that the abscissa of the middle point of the chord is x = 12 × (− 43) = - 23, substituting it into the linear equation, we get that the middle point of the chord is (- 23, 13), so we choose B

The midpoint coordinates of the chord cut by the ellipse x2 + 2Y2 = 4 are ()
A. （13，−23）B. （-23，13）C. （12，-13）D. （-13，12）

Substituting the straight line y = x + 1 into the ellipse x2 + 2Y2 = 4, we get that the abscissa of the middle point of the chord is x = 12 × (− 43) = - 23, substituting it into the linear equation, we get that the middle point of the chord is (- 23, 13), so we choose B

The midpoint coordinates of the chord cut by the ellipse x ^ 2 + 4Y ^ 2 = 4 are

y=x-1/2
Substituting
x²+4x²-4x+1=4
5x²-4x-3=0
x1+x2=4/5
So the abscissa x = (x1 + x2) / 2 = 2 / 5
y=x-1/2=-1/10
So the midpoint (2 / 5, - 1 / 10)