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Mathematics examination questions of Tianjin senior high school entrance examination
This question examines the synthesis of linear functions of one variable. It involves the problem of finding the intersection of decomposition function and linear function by undetermined coefficient method. This question is not difficult. This problem can be solved by mastering the intersection of two straight lines and solving the resolution function by undetermined coefficient method. See the answer/exercise/math /798460 adopted, dear.

In the plane rectangular coordinate system, O is the origin, the straight line L: X = 1, the points A (2 2,0), E, F and M are all on the straight line L, the points E and F are symmetrical about the point M, and the straight line EA and the straight line OF intersect at the point P. 。

(i) If the coordinate of point m is (1,-1),

(1) When the coordinates of point F are (1, 1), as shown in the figure, find the coordinates of point P;

② When point F is a moving point on a straight line L, remember point P (x, y) and find the resolution function of y about x. 。

(2) If point M( 1, m) and point F( 1, t), where t≠0 and point P are PQ⊥l at point Q, when OQ=PQ, try to express m with a formula containing T. 。