78 贵州工业大学学报（自然科学版） 2000年 为 +（+安+文2+《++安 -Tfae (sm 01- R1R2R2 名光（安+%是+安+兴+安+名+是名 (26) -+空++ 0= 1-名-（号+名+终+多+安+是++名 (27) 1-2+(2++22 XX1 T一 X2 X3X3 1-兴号-兴号-+是是-是+受+++凳++凳-光学： X X2 X2 X3 X I X2 X3 Xi X3 X (28) 132+( 1) Op= 1- 2-2-(只 R3 L十 R2R1K2R]2 fme(epb-) XI X2X2 X3 2++ R上+)X3X，X31 2十 X3 (29) 1+( R32 02= R1R2-R2R3- R1+R)R3- RI R2+((R+R2+R3)+R1+R1+R2 R1 R2 R3 X2 X X X3 (30) 十( R1)2 T2= R2R3- RI十 R1) R3 2]2+〔+ R2+ R RL十 R2 R1K2R3]2 XI X2 X Xi X R3)+ X3 X X2 X3 (31) 03= R3-R1R2R32 (32) T3= Te (33) --号-+-学++烤++名++- 写出式(26~33)所对应的三角函数表达式，即得最后的解为 安+宝+密++++多号 Tym n P (34) u- 要xr+9.9+子(35) 1- +++ )+++ Tfma3fr+91b9%'(36) 学 http://www.为 Q﹒ = 〔 1 X 1 R 2 X 2 +( 1 X1 + 1 X2 )+ 1 X 1 R2 X 3 〕2 +〔( 1 X1 + 1 X2 + 1 X3 )- 1 X 1 R2 X 2 R3 X 3 〕2 〔1 - R 1 X 1 R 2 X 2 - R2 X 2 R3 X 3 -( R1 X1 + R1 X2 ) R3 X3 - R1 X1 R2 X3 〕2 +〔( R1 X1 + R2 X2 + R3 X3 )+ R1 X2 + R1 X3 + R2 X3 - R1 X1 R2 X2 R2 X3 〕2 Tfm e i(φb -φfb ) (26) Q﹒ 1 = (1 - R2 X 2 R3 X 3 )2 +( R 2 X 2 + R 3 X 3 + R2 X 3 )2 〔1 - R 1 X 1 R 2 X 2 - R 2 X 2 R 3 X 3 -( R1 X1 + R1 X2 ) R3 X 3 - R1 X 1 R2 X 3 〕2 +〔( R1 X1 + R2 X2 + R3 X3 )+ R1 X 2 + R1 X 3 + R2 X 3 - R1 X 1 R2 X2 R2 X3 〕2 Tfm X1 e i(φ1b -φfb +π 2 ) (27) ﹒T 1 = (1 - R2 X2 R3 X3 )2 +( R2 X2 + R3 X3 + R2 X3 )2 〔1 - R1 X1 R2 X2 - R2 X2 R3 X3 -( R1 X 1 + R1 X2 ) R3 X3 - R1 X1 R2 X3 〕2 +〔( R1 X 1 + R2 X2 + R3 X3 )+ R1 X2 + R1 X3 + R2 X3 - R1 X1 R2 X2 R3 X3 〕2 T fm e i(φ1b -φfb ) (28) Q﹒ 12 = ( 1 X 2 R3 X 3 )2 +( 1 X 2 + 1 X 3 )2 〔1 - R1 X1 R2 X2 - R2 X2 R3 X3 -( R1 X 1 + R1 X2 ) R3 X3 - R1 X1 R2 X3 〕2 +〔( R1 X1 + R2 X2 + R3 X3 )+ R1 X2 + R1 X3 + R2 X2 - R1 X1 R2 X2 R3 X3 〕2 T fm e i(φ12b -φfb ) (29) Q﹒ 2 = 1 +( R3 X3 )2 〔1 - R 1 X 1 R 2 X 2 - R 2 X 2 R 3 X 3 -( R1 X1 + R1 X2 ) R3 X 3 - R1 X 1 R2 X 3 〕2 +〔( R1 X1 + R2 X2 + R3 X3 )+ R1 X 2 + R1 X 3 + R2 X 3 - R1 X 1 R2 X2 R3 X3 〕2 Tfm X2 e i(φ2b -φfb + π 2 ) (30) ﹒T 2 = 1 +( R3 X3 )2 〔1 - R1 X1 R2 X2 - R2 X2 R3 X3 -( R1 X 1 + R1 X2 ) R3 X3 - R1 X1 R2 X3 〕2 +〔( R1 X 1 + R2 X2 + R3 X3 )+ R1 X2 + R1 X3 + R2 X3 - R1 X1 R2 X2 R3 X3 〕2 T fm e i(φ2b -φfb ) (31) Q﹒ 3 = 1 〔1 - R 1 X 1 R 2 X 2 - R 2 X 2 R 3 X 3 -( R1 X1 + R1 X2 ) R3 X 3 + R1 X 1 R2 X 3 〕2 +〔( R1 X1 + R2 X2 + R3 X3 )+ R1 X 2 + R1 X 3 + R3 X 3 - R1 X 1 R2 X2 R3 X3 〕2 Tfm X3 e i( π 2 -φfb ) (32) ﹒T 3 = 1 〔1 - R1 X1 R1 X2 - R2 X2 R3 X3 -( R1 X 1 + R1 X2 ) R3 X3 - R1 X1 R2 X3 〕2 +〔( R1 X 1 + R2 X2 + R3 X3 )+ R1 X2 + R1 X3 + R2 X3 - R1 X1 R2 X2 R3 X3 〕2 T fm e-iφfb (33) 写出式(26 ～ 33)所对应的三角函数表达式,即得最后的解为 Q = 〔 1 X 1 R 2 X 2 +( 1 X1 + 1 X 2 ) R 3 X 3 + 1 X1 R2 X3 〕2 +〔( 1 X 1 + 1 X2 + 1 X3 )- 1 X 1 R2 X2 R3 X3 〕2 〔1 - R1 X 1 R 2 X 2 - R2 X2 R3 X3 -( R 1 X 1 + R1 X2 ) R3 X3 - R 1 X 1 R2 X2 〕2 +〔( R1 X1 + R 2 X 2 + R3 X3 )+ R1 X2 + R 1 X 3 + R2 X3 - R1 X1 R2 X 2 R 3 X 3 〕2 Tfm sin(2πfτ+φb -φfb ) (34) Q1 = (1 - R 2 X 2 R 3 X 3 )2 +( R2 X2 + R 3 X 3 + R 2 X 3 )2 〔1 - R 1 X 1 R 2 X 2 - R2 X2 R 3 X 3 -( R1 X 1 + R 1 X 2 ) R 3 X 3 - R 1 X 1 R2 X3 〕2 +〔( R 1 X 1 + R 2 X 2 + R 3 X 3 )+ R 1 X 2 + R 1 X 3 + R 2 X 3 - R 1 X 1 R 2 X 2 R 3 X 3 〕2 Tfm X1 sin(2πfτ+φ1b -φfb + π 2 )(35) t 1 = (1 - R2 X2 R2 X3 )2 +( R 2 X 2 + R3 X3 + R2 X3 )2 〔1 - R1 X1 R2 X2 - R2 X 2 R 3 X 3 -( R1 X1 + R1 X 2 ) R 3 X 3 - R1 X1 R2 X3 〕2 +〔( R 1 X 1 + R2 X2 + R3 X3 )+ R 1 X 2 + R1 X3 + R2 X3 - R 1 X 1 R2 X2 R3 X3 〕2 Tfm sin(2πfτ+φ1b -φfb )(36) 78 贵 州 工 业 大 学 学 报 (自然科学版) 2000 年