3s + cos lm cos l ( + ) ( + ) 3. 997 = 3s + cos 3 s lm = lm + lm cos 3 3 = + =. = ( 4).. + 3 =. = + = = = 3 3 < ( 4) e θ + y = e.. ρ =. = ρ cos θ y = ρs θ ρ = e θ dy d θ = cosθ sθ θ = = e y = e θ θ cos θ s θ. sθ + cosθ = = θ = = y = e. 3 梦飞翔考研工作室 QQ:83
ρ = e θ l + = rct y y e = ( ) + y =. y e y e = ( ) + y =. y = 4 A= 4 t 3 B AB = t=. 3-3. B AB = A = A = 4 t 3 = t = 3. 3 (5) 5 3.. 5 A = {} B = {}C = { }. P( A) = P( B) = 3 P( C A) = 9 P( C B) =. 5 5 49 49 = ( ) + ( ) P C P A P C A P B P C B 9 3 9 = + = =. 5 49 5 49 49 5 梦飞翔考研工作室 QQ:83 f ( y) y = + y = ( y) ( y) ( )
A. B. C. (D). C. f ( + ) ( ) f f = lm = y = k y k k lm = lm = + y + k + k ( y ) ( ) y k + kk lm ( y ) ( ) + y C. ()[ ] ( ) b b f > f < f > S = f ( b)( b ) S3 = f ( ) + f ( b) ( b ) S < S < S (B) S < S < S3. A 3. S < S < S (D) S < S3 < S. (C) 3. B. f y ( ) S = f d 梦飞翔考研工作室 QQ:83 f > f < f > y = f [ ] f > f ( b) b
f ( ). f b f < f ( ) + < < b b 3 b S = f d> f b b = S f ( ) b b f b S = f d< f + d b = f ( ) + f ( b) ( b ) = S3. S < S < S B. + (3) s t F = e s tdt F( ) A. C. A. s t e s t + st st F = e s tdt = e s tdt = st e dcost st cos t e dt. = + > A. b c 4α = α = b α3 = c b c 3 3 3 3 3 3 B. D. + by+ c = + by+ c = + by+ c = + b = 3 梦飞翔考研工作室 QQ:83 α α α. Bα α α 3. A 3 C r ( α α α ) ( ) 3 r α α D 3 α α α α α. (D).
+ by + c = + by + c = 3 + by 3 + c3 = r ( α α α ) ( ) 3 r α α. ACBDD. 5 X Y 4 3X Y A8. B6. C8. D44. D. D( X Y) D( X) D( Y) 3 = 3 + = 9 4 + 4 = 44. = ( + ) z = 8. y = z I y dv Ω z Ω = r Ω= ( θ rz ) θ r 4 z 8 4 8 4 3 r I = dθ r 8 rdr r dz r dr = 4 =. 3 ( z y) d + ( z) dy + ( y) dz C z z C. C + y = y + z = = cos θ y = s θ z = + y = cosθ + sθ C θ θ = θ =. 梦飞翔考研工作室 QQ:83 C ( ) + ( ) + ( ) z y d z dy y dz = sθ+ cosθ cosθ dθ
= cosθ + sθ sθ θ =. y+ z = C Z D y Oy. F = ( z y) + ( z) j+ ( y) k j k rotf =. k y z C z y z y z y d + z dy + y dz = rotfds = ddy = ddy =. 3 N t = Dy t () t () t k > () t. d = k N dt = ( ) knt NCe = knt + Ce d N = kdt 梦飞翔考研工作室 QQ:83 = knt Ne N + e knt + y+ b= l : z = + y + y z 3 =
( 5) b. F y z = + y z F = F = y F =. ( 5) { 4 } = y z ( ) ( y ) ( z ) 4 + 5 = 4y z 5=. + y+ b= l : + y z 3 = bz = 3+ ( b) + 4 + 4b + 3+ + b 5= 5+ = 4b+ b =. = 5 b= 4y z 5=. + y+ b= l : + y z 3 = + y+ b+ κ + y z 3 = + λ + + λ y λz+ b 3λ =. + λ + λ λ b 3 λ = = = 4 5 梦飞翔考研工作室 QQ:83 λ = = 5 b= f ( u ). f u z f ( e s y) z z = + = e y z
z z + = e y u f u Ce C e z z = f ( u) e s y = f ( u) e cos y y z = f ( u) e s y+ f ( u) e s y z = f ( u) e s y+ f ( u) e cos y y z f ( u) f ( u) u = + f =. f lm ϕ =. C C. f ϕ = f t dt lm = A A ϕ ϕ = A f = f ( ) = A f u du ϕ = f t dtu = t ( ) f f u du = ( ) ( ) lm f u du lm f A ϕ = = =. ϕ =. f f u du f f u du lmϕ = lm = lm lm A A = A = = ϕ 梦飞翔考研工作室 QQ:83 ϕ =. = = + ( = ) +
lm = +. + = + = = + = + + { } lm. () + = +. + + ( + ) = ( ) = b + + = b + = lm = lm = < + ρ b 4 + + B 5 4 = + S = = k k+ + k =. = +. lm S 梦飞翔考研工作室 QQ:83 T T T 3 α = ( 3 ) α = ( 4 ) α = ( 5 89 ) B = B =. r( B ) = r( B) α α α α. 4 = 4 =
3 4 ( α β ) β = α = β = α β = = 3 ( β β) 4 3 3 3 3 β β η = = η = = β 5 β 39 5 3 3. () ζ = A= 5 3. b (I) bζ (II) A. Aζ λ ζ I = 5 3 = λ b = λ 5+ 3= λ + b + = λ = 3 b= λ =. II A= 5 3 b λ 梦飞翔考研工作室 QQ:83 λe A = 5 λ+ 3 3 = λ+ 3 λ = A 3 r E A = A. λ + r E A = λ = A A j B.
B ; AB. ( ) B E j j = E( j) A B = E j A = A. B AB A E( j) A = = AA E ( j) = E ( j) = E( j). 3 X X 5. X B 3 5 k 3 k k P{ X = k} = C3 k = 3. 5 5 X < 7 < 5 F = P{ X } = 8 < 5 7 < 3 5 X X 6 E X = 3 =. 5 5 f ( θ ) θ + < < = 梦飞翔考研工作室 QQ:83 θ > X θ. X E( X) = + θ + θ + f d = ( θ ) d. + = + θ
θ + ^ X = X θ θ =. θ + X X X X L θ = = ( θ + ) < < ( = 3 ). < < = L > ( 3 ) = ( θ + ) + θ l L l l = dl L = + l = dθ θ + = θ θ ^ θ = ^ = θ = l = l 梦飞翔考研工作室 QQ:83