∵X是直线OP上的点,则设X(2λ,λ)即有XA(1-2λ,7-λ),XB(5-2λ,1-λ)∴XA×XB=(1-2λ)(5-2λ)+(7-λ)(1-λ) =5-2λ-10λ+4λ^2+7-7λ-λ+λ^2 =5λ^2-20λ+12对称轴为λ=-(-20)÷(5×2)=2∴最小值为5×2×2-20×2+12=-8(ps:λ^2即λ的平方)