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Senior two math college entrance examination questions
( 1)

x = 2+t——& gt; T=x-2 brings y=t+ 1, so y=x- 1.

X=r*cos(θ) and r 2 = x 2+y 2 in the polar coordinate transformation formula are brought into the curve P equation:

x^2+y^-4x+3=0

That is, (x-2) 2+y 2 =1.

(2)

Simultaneous equation of two curves: (x-2) 2+(x- 1) 2 = 1.

x^2-3x+2=0

x 1= 1,x2=-2

y 1=0,y2=-3

The length of line AB is √ ((x1-x2) 2+(y1-y2) 2) = √18 = 3 √ 2.