(1) 3-210-11 11-158 1257 000 解(1)119 3-35-540 70 160 200000 00000 习题 1.计算下列偶列式 111 (3) 12341 1 1 (5) 111 11+b1 234 解:(1)4 abcde f (4)160. (5)a2 (6)(a-a1)(a-a2)(a-a3)(a-a4) 2.证明下列等式 (1) sin2B cos2B cos(2B)=0 b (2)b+cc+a′a'+b|=2a′bcs(1)  2 1 −30 5 1 0 4 − 1 − 3 −2 10 −11 −1 1 −15 8  ; (2)  1 −1 2 3 4 2 1 −1 2 0 −1 2 1 1 3 1 5 − 8 − 5 −12 3 −7 8 9 13  . : (1)  2 0 0 0 1 19 0 0 −3 −35 −54 0 −1 −30 27 0  . (2)  1 0 0 0 0 2 3 0 0 0 −1 1 14 0 0 1 6 0 0 0 3 −4 −14 0 0  .
2–5 1. xg ) : (1) ¯¯¯¯¯¯ ab ac ae bd −cd ed bf cf −ef ¯¯¯¯¯¯ ; (2) ¯¯¯¯¯¯¯¯¯ 3 1 1 1 1 3 1 1 1 1 3 1 1 1 1 3 ¯¯¯¯¯¯¯¯¯; (3) ¯¯¯¯¯¯¯¯¯ 1 1 1 1 1 2 4 8 1 3 9 27 1 4 16 64 ¯¯¯¯¯¯¯¯¯ ; (4) ¯¯¯¯¯¯¯¯¯ 1 2 3 4 2 3 4 1 3 4 1 2 4 1 2 3 ¯¯¯¯¯¯¯¯¯; (5) ¯¯¯¯¯¯¯¯¯ 1 + a 1 1 1 1 1 − a 1 1 1 1 1 + b 1 1 1 1 1 − b ¯¯¯¯¯¯¯¯¯ ; (6) ¯¯¯¯¯¯¯¯¯¯¯ 1 1 1 1 1 a1 a a2 a2 a2 a2 a2 a a3 a3 a3 a3 a3 a a4 a4 a4 a4 a4 a ¯¯¯¯¯¯¯¯¯¯¯. : (1) 4abcdef . (2) 48. (3) 12. (4) 160. (5) a 2 b 2 . (6) ( a − a 1)( a − a 2)( a − a 3)( a − a 4). 2. STV) : (1) ¯¯¯¯¯¯ sin 2 α cos 2 α cos(2 α ) sin 2 β cos 2 β cos(2 β ) sin 2 γ cos 2 γ cos(2 γ ) ¯¯¯¯¯¯ = 0; (2) ¯¯¯¯¯¯ b + c c + a a + b b 0 + c 0 c 0 + a 0 a 0 + b 0 b 00 + c 00 c 00 + a 00 a 00 + b 00 ¯¯¯¯¯¯ = 2 ¯¯¯¯¯¯ a b c a0 b0 c0 a 00 b 00 c 00 ¯¯¯¯¯¯; · 5 ·