设长宽高分别为X,Y,Z 体对角线为a 可知X^2+Y^2+Z^2=a^2
又因为:sinα=X/a sinβ=Y/a sinγ=Z/a
则知道(sinα)^2+(sinβ)^2+(sinγ)^2=(X^2+Y^2+Z^2)/a^2
=a^2/a^2=1
长方体的一条对角线与过同一个顶点的三个面所成的角分别是α,β,γ,那么(sinα)^2+(sinβ)^2+(sinγ)^2=?
长方体的一条对角线与过同一个顶点的三个面所成的角分别是α,β,γ,那么(sinα)^2+(sinβ)^2+(sinγ)^2=?
数学人气:132 ℃时间:2020-04-03 08:47:10
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