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16 and the last problem of mathematics in this volume
16

Let DK be x AK=CK=8-x angle d be 120? Finding AK by cosine theorem in triangle ADK

The last question is only about ideas.

(1) y 1 intersects the x axis at the fixed point a (5,0).

(2) Let B(x, y) list the distance from the origin of AB straight line equation to the straight line as √5① Bring B into the circular equation ② and solve the coordinates of point B.

Substitute b into y 1? Y 1 available

(3) suppose there is

Can we get the coordinates of a, b and c now? Suppose we can find the length of P(x, y)BC and AC? The areas of the two triangles are equal. ① Substitute P into y 1② to see if P meets the requirements.