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Senior high school mathematics elective 2- 1 after-school exercises
Two questions. The coordinates of the set point are (x, y)

According to the meaning of the question, the square of the distance from point to o is x? +y?

Is the square of the distance from a point to a (x-c)? +y?

∴(x? +y? )-[(x-c)? +y? ]=c

2xc-c? =c

x=(c+c? )÷2c

=( 1+c)/2

Three questions. Let the coordinates of two fixed points be a (-3,0), B (3 3,0) and point M (x, y).

(x+3)? +y? +(x-3)? +y? =26

2x? + 18+2y? =26

x? +y? =4