Given the fixed point B (3,0), point a moves on the curve X ^ + y ^ = 1, then the trajectory equation of point P in line AB is

Use the substitution method
Let P (x, y), a (x1, Y1),
Then x = (x1 + 3) / 2, y = (Y1 + 0) / 2,
The solution is X1 = 2x-3, Y1 = 2Y,
Substituting into the known curve equation, (2x-3) ^ 2 + (2Y) ^ 2 = 1,
It is reduced to (x-3 / 2) ^ 2 + y ^ 2 = 1 / 4,
It is a circle with a center of (3 / 2,0) and a radius of 1 / 2

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