1,x1,x2,4等差数列,令公差为d,则:
4=1+3d d=1
x1=1+d=2 x2=1+2d=3
1,y1,y2,8等比数列,令公比为q,则:
1*q^3=8 q=2
y1=1*q=2 y2=1*q^2=4
op1=√(x1^2+y1^2)=2√2
op2=√(x2^2+y2^2)=5
p1p2=√[(x1-x2)^2+(y1-y2)^2]=√5
设角P10P2为α,则:
cosa=(op1^2+op^2-p1p2^2)/(2*op1*op2)=7/10*√2
sina=√[1-(cosa)^2]=1/10*√2
S=1/2*op1*op2*sina=1/2*2√2*5*1/10*√2=1