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20 16 Anqing three-mode science mathematics
(1) Let P(cosθ, sinθ) and N(0, t).

According to the straight line of p, n and a * *, let an = λ AP, (λ is a constant)? …①

∫a(- 1,0),∴ An = ( 1,t),AP=(cosθ+ 1,sinθ)

Substitute into ① to get t=sinθ 1+cosθ,

∴N(0, sinθ 1+cosθ), in the same way, you can get M(cosθ 1+sinθ, 0)...(4 points)

(2) PO=(-cosθ, -sinθ) is known from (1).

PM=(cosθ 1+sinθ? cosθ,? sinθ)=(? sinθcosθ 1+sinθ,? sinθ),PN=(? cosθ,? Sinθcosθ 1+cosθ), ... (6 points)

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