楼上的”提斜公式得√(1+w2)sin(wt+π/4)=0“是错的应该是,提斜公式得√(1+w2)[1/√(1+w2) cos(wt)+w/√(1+w2) sin(wt)]=√(1+w2)[sin a cos(wt)+cos a sin(wt)]=√(1+w2)sin(wt+a)=0这里tan a=1/w,sina=1/√(1+w2),cosa=w/√(1+w2) 所以wt+a=k*piwt=k*pi-arctan (1/w)t=[k*pi-arctan (1/w)]/w , k是整数,0,1,-1,2,-2,......
|