.1 n.1 1 A T ra A A a b c d A 2 a b a b c d c d a 2 + bc ab + bd ac + cd bc + d 2 a 2 + bc ba + d ca + d bc + d 2 A a + d b c T ra A T ra A 2 A 2 A A 2 A 2 A n A A n cos 2π sin 2π n n A k sin 2π cos 2π n n A n k n E T ra A 2n A n A 3 A 3 A 2 T raa + detae O A 3 A + T raa 2 T raa + detae + T ra 2 detaa T ra detae {T ra 2 deta}a T ra detae T ra 2 deta A A 3 A 1/12
.1 A cos 2π 3 sin 2π 3 sin 2π 3 cos 2π 3 T ra 2 deta T ra 2 deta T ra 2 deta a + d 2 ad bc a 2 + d 2 + ad + bc A 3 a b a 2 + bc ba + d c d ca + d bc + d 2 a 3 + 2abc + bcd a 2 b + abd + b 2 c + bd 2 a 2 c + bc 2 + acd + cd 2 abc + 2bcd + d 3 a 3 + 2abc + bcd ba 2 + d 2 + ad + bc ca 2 + d 2 + ad + bc abc + 2bcd + d 3 a 3 + 2abc + bcd abc + 2bcd + d 3 a 3 + bc2a + d bca + 2d + d 3 a + d 3 a + d 3 T ra 3 T ra 3 T ra 2 deta A 3 1 1 7 2 3 1 1 7 2 1 1 7 2 1 1 7 2 6 3 21 3 1 1 7 2 27 27 A 3 A A 4 A 4 A 2 A A 5 1 x n x 2 + kx + l x n x 2 + kx + lqx + px + q x 2 + kx + l 2 α, β x n x αx βqx + px + q x α, β α n pα + q β n pβ + q 2/12
.1 α n β n pα β α β p αn β n α β βα n pαβ + qβ αβ n pαβ + qα αβ n βα n qα β α β α β q αβn βα n α β x n x α 2 Qx + px α + r 1 x α α n r 1 nx n 1 2x αqx + x α 2 Q x + p x α nα n 1 p r pα 1 nα n x 2 + kx + l α, β α n β n α β x + αβn βα n α β α nα n 1 x + 1 nα n 1 A n A n pa + qe p A n A n p A 2 A 2 A n A A n A 3/12
.2.2 A m n > m 3 3 A 3 T raa 2 + aa + be O a, b A 2 A 2 T AT T rat + aa + be O T + aea T rat be T + ae a T + ae T T A T rat be T A S T T A T 1 S A n A A 2 A T 3 1 2 a b 1 a b c a c a A 3 T raa 2 + 1 2 {T ra2 T ra 2 }A detae O 1 a b c a 1 a 2 + bc a 2 + bc 2 A 2 1 2 1 1 1 2 1 1 2 1 λ 1 λ 1 1 1 λ 1 λ2 1 λ 1 λ 1 λλ 2 2 λ 3 λ 2 2λ + 2 4/12
.2 1 A 3 A 2 2A + 2E O T A T 2A + 2E O T 2EA T 2E 1 1 1 1 1 1 1 1 1 1 1 3 6 2 1 A 9 3 5 1 A 2 B 2 A B 1 1 λ 3 6 1 λ 9 3 5 λ 1 λ1 λ 5 λ + 541 λ 1 λ 5 5λ + λ 2 + 54 λ 1 2 λ 4 λ 1, 4 λ 1 9 3 6 9 3 6 x y z, x y z 9 3 6 9 3 6 3x y 2z x k, z l 3 1 2 x y z k y 3k 2l 1 3 + l 2 1 k, l λ 1 1 3, 2 1 5/12
.2 λ 4 6 3 6 3 9 3 9 6 3 6 3 9 3 9 x y z, x y z 2 1 2 1 3 1 3 1 1 1 λ 4 2 C 1 1 3 2 1 1 1 1 1 3 2 1 1 1 1 1 1 1 2 3 3 1 1 3 1 2 C 1 C 1 AC x y z m 1 1 1 1, m 1 1 1 2 3 3 1 2 2 2 2 1 2 3 1 3 3 1 2 2 1 2 3 1 3 3 1 2 2 1 2 3 1 3 3 1 2 1 1 4 1 2 1 2 2 6 2 6 1 3 1 2 1 3 6 1 9 3 5 1 4 3 2 1 4 1 1 1 2 3 3 1 1 3 1 2 C 1 B 2 C C 1 BC 2 1 2 1 2 1 3 1 3 1 3 1 2 1 1 3 2 1 1 6/12
.2 C 1 BC ±1 ±1 ±2 8 B CC 1 BCC 1 ± 1 1 3 2 ±1 1 2 1 2 3 1 3, 1 1 2 3 1 2 ± 1 1 3 2 ±1 1 2 1 2 3 1 3 1 1 2 3 1 2 2 + 6 ±1 2 ±2 2 6 ±1 + 2 ±2 + 4 ± 6 + 6 ±3 2 ±6 6, ± 6 + 6 ±3 2 ±6 6 3 1 1 9 3 7 Ans.1 C 1 BC 1 1 2 2 1 1 2 ± 1 bc b c 1 bc 2 ± 1 bc b c 1 bc 2 1 1 4 1 1 2 2 1 1 4 ± 1 bc b c 1 bc 2 B CC 1 BCC 1 1 1 3 2 ± 1 bc b c 1 bc 2 1 2 3 1 3 1 1 2 3 1 2 ± 1 bc b 2 ±3 1 bc 2c 3b ± 2 1 bc c 2 1 2 3 1 3 1 bc 2 3 1 2 2 1 bc 3b + 6 ± 1 bc + b 2 ±2 1 bc + 3b 4 12 1 bc 9b ±5 1 bc + 3b ±12 1 bc + 9b ±3 1 bc 2c + 6 1 bc + c 2 3 1 bc + 2c 4 Ans.2 7/12
.2 3 B x A y e A 2 E O O 4 B x y e B x y e E O O 4 B 2 + xy E 1 Bx + xe O 2 yb + ey O 3 yx + e 2 4 4 x O y O x O y O y O { B 2 E B ± 2Ex O B B ±2E x O B a b c a x O { a 2 + bc 1 4 + a4 a bc 16 a 2 bc 16 1 x y O x O y O 2 y 3 x { ybx + yxe O 2 ybx + eyx O 3 2 1 x 4 B 2 x + xyx Ex 1 B 2 x + x4 e 2 Ex B 2 x + 4 e 2 Ex Ex B 2 x + 3 e 2 Ex O 5 8/12
.3 2 B B 2 x + Bxe O B 2 x + ebx O 6 5 6 ebx 3 e 2 Ex O {eb 3 e 2 E}x O e ebx 3 e 2 Ex ebx 3 e 2 Ex ebx 3 e 2 Ex O 3 Bx e e x 7 B O 2 7 x O e 3 e e x O y O 2 Ans.1 Ans.2 e e B 2 + xy E 1 Bx O 2 yb O 3 yx 4 4 2,3 yb 2 x O 5 1,5 ye xyx yx yxyx 4 16 e 4 4 k 2.3 A 3 + αa 2 + βa + γe O 2 9/12
.4 A 2 T A 3 AT T A AT + βe T + βea αt γe T T + βe t 1, t 2, t 3 i j t i t j A i j a ij * i j a ij t j t i a ij t 1 t 2 t 3 t 1 t 2 t 3 # # # t i t j t i, t j a ij A n A n A 2 T A 2 A gt gt A ht... gt ht T T gt ht 3 ** A.4 A 3 T αa 2 + βa γe T αβa 2 + β 2 A βγe βt 1 A A 4 + αa 3 + βa 2 + γa O 1 2 AT + αt + βa 2 + γa O T A + αt + βa 2 + γa O βa 2 + γa AT αt βa 2 + γa T A αt αβa 2 + βγa αat α 2 T αβa 2 + αγa αt A α 2 T... 2 β 2 βγa αat + α 2 T βγe βt αt A + α 2 T βγe βt AαT ββ γe αt ββ γea α 2 T + βγe + βt 1/12
.5 α αt ββ γe ** A α T ra ββ γ A α β 2 α β γ 2 βa βe T A E 1 β T A.5 2 3 3 3 ** TA AT ATTA T A.6 A Mn; C α 1, α 2,, α n A fx fx x α 1 x α 2 x α n fx A fa A α 1 EA α 2 E A α n E α 1 P 1 AP α 2 *... αn 11/12
.6 P P P 1 fap P 1 A α 1 EA α 2 E A α n EP P 1 A α 1 EP P 1 A α 2 EP P 1 A α n EP P 1 AP α 1 EP 1 AP α 2 E P 1 AP α n E α 1 α 1 α 2 * *...... α 2 *... αn αn O fa O A 12/12