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Solving problems in solid geometry of mathematics in senior two.
Analysis: mainly solved by cosine theorem.

∫E is the midpoint of B 1C 1, and? EG and b 1 form an angle of 45,

∴? G point is at:? ①? One third of BB 1, while BG1=1/3bb1=1cm,

②? One third of CC 1, while CG2 = 1/3c 1, BG2= 1cm,

①? In △EFG 1, there are? EF=√? [? (EC 1)& amp; sup2+(fc 1)& amp; sup2? ]? =? 2√2,

EG 1=√? [? (EB 1)& amp; sup2+(b 1g 1)& amp; sup2? ]? =? 2√2,

FG 1=√? [? (FB 1)& amp; sup2+(b 1g 1)& amp; sup2? ]? =? √? [(fc 1)& amp; sup2+(c 1b 1)& amp; sup2+(b 1g 1)& amp; sup2]? =? 2√6,

What is the cosine theorem? cos∠FEG 1=? 【(EF)& amp; sup2+(fg 1)& amp; sup2-(eg 1)& amp; sup2]? /? 2(EF)*(FG 1)

=? (√3)/2,

∴? ∠FEG 1? =? 150 。

②? In △EFG2, there are? EF=√? [? (EC 1)& amp; sup2+(fc 1)& amp; sup2? ]? =? 2√2,

EG2=√? [? (EC 1)& amp; sup2+(c 1g 2)& amp; sup2? ]? =? 2√2,

FG2=√? [? (fc 1)& amp; sup2+(c 1g 2)& amp; sup2? ]? =? 2√2,

What is the cosine theorem? cos∠FEG2? =? 【(EF)& amp; Sup2+(FG2) and ampsup2-(EG2) and ampsup2]? /? 2(EF)*(FG2)

= 1/2? ,

∴? ∠FEG2? =? 60 。

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