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Hangzhou 20 10 senior high school entrance examination mathematics examination paper
24. (The full score of this short question is 12)

(Question 24)

In the plane rectangular coordinate system xOy, the analytical formula of parabola is y =+1,

The coordinates of point C are (–4,0), and vertices A and B of parallelogram OABC are parabolas.

On a straight line, the AB and Y axes intersect at point M, and point Q(x, y) is known to be on a parabola, while point

P(t, 0) is on the x axis.

(1) Write the coordinates of point m;

(2) When the quadrilateral CMQP is a trapezoid with MQ and PC as the waist.

① Find the resolution function of T about X and the range of independent variable X;

② When the ratio of the lengths of the two base sides of the trapezoid CMQP is 1: 2, find the value of t. 。

Is that a problem?