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20 10 Harbin senior high school entrance examination mathematics problem 20
A (0, 10) b (- 10, 0) d' (3 √ 3, 3) e (3, -3√3) can be easily obtained by establishing a rectangular coordinate system with C as the origin.

Yi AD straight line y=-7√3x/9+ 10

Become a straight line y =-3 √ 3x/13-30 √ 3/13.

MN straight line y= 13√3x/9

Find m (3 √ 3/2, 13/2)

N(- 135/98,- 195√3/98)

The length of MN is 7+ 15√3/7.

Of course, this is only a method of clockwise rotation, and there should be another answer to counterclockwise rotation 7- 15√3/7.

Although I only used Pythagorean theorem in the last question of this kind of fill-in-the-blank problem, the calculation data is more complicated. After knowing the method, it takes 10 minutes to get the answer. Either there is a simpler method, or the examinee is asked to ignore this question. The point is, I don't know what level I have learned in junior high school mathematics now.