OC? =2-√2=CP?
The coordinate of point P is (1, t).
OP? =2OC? = 1+t? =4-2√2
t= √2 - 1
(2) Measured OC=CP
Point C is a parallel line of the X axis, and the intersection OA and the straight line BP are at points T and H.
∠TCO=∠HC
∠HCP+∠ Total cost of ownership =90
∠HCP=∠COA
OC=CP
∠CTO=∠CHP=90
△OTC?△CHP
(3) (1) There are many steps, so simply write them down.
Find the coordinates of point P and point C (represented by t and b) first.
Available CO, CP, OP values
Press CO? +CP? =OP? Available relation
b= 1-√2t
T is between AB, so the value is 0≤t≤ 1.
② CP = Pb = B。
The value of t can be obtained by substituting the CP line segment relationship in ①.