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呈耐贝
7 years ago
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1 + lim = + + lim = + lim ( ) () f = lim + = + = e cos( ) = e f + = e cos = e + e sin + = = = = = + = + cos d= () ( sin ) 8 cos sin cos = ( )

2 ( sin ) cos + d= ( + ) = cos sin cos d sin d 4 = 8 = 8 ( cos4 ) d (4) arcsin + = arcsin = : arcsin + = ( arcsin ) = arcsin = + c = c = arcsin = : + = arcsin arcsin d c e arcsin + d arcsin arcsin = e e = ( c+ ) arcsin d = c = arcsin =

3 a (5) a = a = a - : a a A= a a a a a a + a a a ( a) ( a )( a+ ) ( a+ ) a = r( A) r( A) = = < : a a a = ( a+ )( a ) = a a =a = a = a = f = > { f f f ( ) } (A) (B) (C) > (D) > (B) f f f ( ) = f { f = }

4 (B) () ( cos) ln( ) + sin n sin n e n (A) (B) (C) (D)4 (B) ] ( ) ( + ) cos ln n lim = lim = lim = lim = n n n n n ; sin n n+ sin n lim = lim = lim = e n n = (B) () ( ) ( ) = (A) (B) (C) (D) (C) = 4 = 4 + ( ) = 4 = n + = = 4 = > = (C) (4) f ( δ + δ ) f () f () = = (A) ( δ ) ( + δ ) f < (B)( δ ) ( + δ ) f > f

5 (C)( δ ) f < ( + δ ) f > (D) ( δ ) f > ( + δ ) f < (A) F = f F = f = f f f ( δ ) F f < A F < = ( δ ) f () ( δ ) f f ( + δ ) f < ( δ ) f = > = = F = ( + δ ) F F () () () f t dt > dt f f > f = f < ( + δ ) () f t dt < dt f < A < = 5 f = f f =

6 D = f < f ( ) > f = AC = f f B D = d ( ) + + = tan t d = sec t sec tdt costdt d sin t = = = sect tan t+ sin t+ cos t + sin t ( t) = arctan sin + C = arctan + C + sin t sintsin lim t sin f f

7 sin sin t sin sintsin sin sin = lim e t + = sin sin f = e f lim f = lim e = e sin = f = = k k =± ± sin lim f = lim e lim ( ) k k = k ( k =± ± ) f f e k + k + sint sin t ln ln limsin tsin sin sintsin sin t = lim e = e = t sin sin f = e = lim sin ( ) ρ ρ = A( ) = M ( )( ) s s ρ ρ = M d ρ d ds ds K = ( + ) = = 4 M ( )( ) ( + ) ( ) ρ = ρ = = = 4 + K AM

8 s = s = + d = d + 4 dρ dρ = d = = ds ds + d 4 d ρ d dρ = = = ds d ds ds d ρ dρ ρ ( ) d = = 4 + = 9 ds ds 4 + f [ + ) f ( ) g f f e e g f = f = = + f e e = + f g () g t dt = e f = e + e f = + e + C f = C = f = lim f = lim + e + C = + + f = + e f g f = g g = e f f g + ( + ) g f d = =

9 f = g = e f f = f f + f = e = = sin cos + f e ( ) ( ) ( ) ( ) f g f g + f d = d f + f f = d = d + + f f = = e = + f ( + ) g f g d = d + f d g f f = d + d f ( ) g g = f + d d e = + L P( )( > ) L L L L L P( ) Y ( X ) = X =

10 + = u = du + u = d + + = C L L C = + + = = 4 = P( ) 4 4 Y = X Y = X + + < S = + 4 S = d 4 = < < S ( ) < ;

11 S > ; > = S Y = X + + Y 4 = X + S K > r 7 8 t V = r S = r r t dr K dt = r = Kt+ C r dv = KS dt dr r = Kr dt = r r = r kt V = V 8 r K = r 8 K = r r = r rt r = t =

12 t V = r S = r S = dv dt dv V = KS = = 8 Kdt 8V 8V V = V + C V = V C = V V V = V 8 Kt = V 8 8 V = V K K = V 8 V = V Vt V = t = f [ aa ]( a> ) f [ aa ] η ( η ) a a f f d a = [ aa ] ( ξ) f = ( ξ) f f f = f + f + = f + ξ!!

13 f d= f d+ f ( ξ ) d! a = f ( ξ ) d a a a a a a a f [ aa ] [ aa ] M m f [ aa ] m f M m a a a a d f d= a f ξ d M d a a m f d M a a A= B = AXA + BXB = AXB + BXA + E E X X AX ( A B) + BX ( B A) = E ( A B) X ( A B) = E A B = A B A B = 5 X A B = = α α α α 4 AX = β = α + tα β = α + tα β = α + tα β = α + tα t 4 4 4

14 β β β β4 AX = β β β β 4 α α α α 4 β β β β 4 AX = β β β β 4 k β + k β + k β + k 4 β 4 = ( k tk ) ( tk k ) ( tk k ) ( tk k ) + 4 α+ + α + + α+ + 4 α4 = α α α α 4 k+ tk4 = tk+ k = tk + k = tk + k4 = t t t t = t 4 t 4 t ± k = k = k = k 4 = β β β β 4 β β β β 4 AX = β β β β 4 α α α α 4 t t β β β β 4= α α α α 4 = t t β β β β 4 α α α α 4

15 t t t t = t 4 t ± 4 β β β β 4 AX = β β β β α α α α 4

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untitled arctan lim ln +. 6 ( + ). arctan arctan + ln 6 lim lim lim y y ( ln ) lim 6 6 ( + ) y + y dy. d y yd + dy ln d + dy y ln d d dy, dy ln d, y + y y dy dy ln y+ + d d y y ln ( + ) + dy d dy ln d dy + d 7.