The intersection of the line y = x and the parabola y = - 2x2 is () A. （12，0）B. （-12，-12）C. （-12，-12），（0，0）D. （0，0）

The intersection of the line y = x and the parabola y = - 2x2 is () A. （12，0）B. （-12，-12）C. （-12，-12），（0，0）D. （0，0）

The analytic expression of two simultaneous functions is y = xy = - 2x2, and the solution is x = - 12Y = - 12 or x = 0y = 0. Therefore, the intersection of the straight line y = x and the parabola y = - 2x2 is (- 12, - 12), (0, 0). So C

The number of intersections of parabola y = x2-2x + 1 and coordinate axis is______ ．

When x = 0, y = 1, then the intersection coordinate with y axis is (0, 1); when y = 0, x2-2x + 1 = 0, the solution is X1 = x2 = 1. Then the intersection coordinate with X axis is (1, 0); in summary, there are two intersections between parabolic y = x2-2x + 1 and coordinate axis. So the answer is 2