∴x 1=4,x2=2
∫0A and 0B are the two roots of the equation, and 0A < 0B.
∴0A=2,0B=4
∴ A(0,2),B(-4,0)
∫0A:AC = 2:5
∴ AC=5
∴OC=OA+AC=2+5=7
∴ C(0,7)
∠∠BAO =∠CAP,∠CPB=∠BOA=90O
∴∠PBD=∠OCD
∠∠BOA =∠COD = 90O
∴△BOA∽△COD
∴ BO\CO=OA\OD
∴ OD=(OA*CO)\BO=7\2
∴d( 7 \ 20)
Let the analytical formula of straight line CD be y = kx+b.
Let x = 0 and y = 7;; X=7\2 and y=0 are:
b=7
(7\2)k+b=0
b=7
k =-2
∴yCD=-2x+7
(3) Existence, P1(-5.5,3), P2 (9.5,3), P3 (-2.5,3)