2(lg√2)的平方+lg√2×lg5+(√(lg√2)的平方-lg2+1)
急急急!
2(lg√2)的平方+lg√2×lg5+(√(lg√2)的平方-lg2+1)
急急急!
2(lg√2)^2 + lg√2×lg5 + √((lg√2)^2 - lg2 + 1)
=2(lg√2)^2 + lg√2×lg5 + √( (1/4) (2-lg2)^2)
=(1/2)(lg2)^2 +(1/2) lg2×lg5 + ( 1/2) (2-lg2)
=(1/2)[ (lg2)^2 + lg2×lg5 -lg2 +2]
=(1/2)[ (lg2)^2 - lg2×lg10/5 +2]
=(1/2)[ (lg2)^2 - lg2×lg2 +2]
=1