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20 12 detailed explanation of 22 math problems in Beijing senior high school entrance examination
Test center quadratic function synthesis problem.

The difficulty is moderate.

Comment on this topic to examine the comprehensive application of quadratic function. The eighth chapter of the third grade intensive promotion class 1 lecture specifically explains this topic. The original title of the senior high school entrance examination is very similar to that given in the handout, and the knowledge points and problem-solving methods are exactly the same.

analyse

(1) The first empty formula: (-3) ×+1= 0;

The first blank formula: (2-1) × 3 = 3;

The first empty formula: Let point E be x and get x=, so the number represented by point E is.

(2) As can be seen from the picture, a=0.5, m=0.5, n=2, and let F=(x, y).

After the transformation =(ax+m, ay+n), because f coincides with, so,

Ax+m=x, ay+n=y, substituting a, m, n, you can get, x= 1, y=4.

So the coordinate of f is (1, 4).