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标题: 定积分定义动画演示 [打印本页]

作者: 402    时间: 2014-11-20 15:01
标题: 定积分定义动画演示
Clear[f, x, a, b];: \# r. ~, B: T7 s9 W+ |5 a
f[x_]: = x^2; a = 0; b = 1.5; m = 0;0 @" J( W1 i3 P0 i; e# Z, K
g1 = Plot[f[x], {x, a, b}, PlotStyle -> {RGBColor[1, 0, 0]},
2 t, e) e5 Y: V( p7 ~8 l: G   DisplayFunction -> Identity];! @8 M7 L9 u& g; n8 Q2 f! N
For[j = 3, j <= 50, j += 2, m = j; tt1 = {}; tt2 = {};! n7 _; i( W( X. q! b, u$ ]! x
For[i = 0, i < m, i++, x1 = a + i*(b - a)/m; x2 = x1 + (b - a)/m; 0 ]+ {0 M# {5 ^7 a( s0 e8 W
  tt1 = Append[tt1, 0 A3 z/ k2 k4 h% {
    Graphics[{RGBColor[0, 0, 1], Rectangle[{x1, 0}, {x2, f[x2]}]}]];
) {# q1 `& r5 c  tt2 = Append[tt2, ) T' O3 m- k8 A
    Graphics[{RGBColor[0, 0, 1], Rectangle[{x1, f[x1]}, {x2, 0}]}]]];* n* K! @) k; A0 {/ Q8 P( G* q
Show[tt1, tt2, g1, DisplayFunction -> $DisplayFunction, $ R; {! n; t4 ~
  PlotLabel -> m'' intervals'']], H' }& I9 D: i! m  k6 c0 ?
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定积分的动画演示,运行没有结果,请各位大虾看看错在哪里?
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f[x_] := x^2 + 1; a = 0; b = 2; m = 0;
4 m7 h. X' B( {g = Plot[f[x], {x, a, b}, PlotStyle -> Red,
" D8 a; J, V3 P+ M  DisplayFunction -> Identity]5 ^0 F% C( L' O
For[n = 0, n < 100, n = n + 4; t1 = {}; t2 = {};
9 F  @8 K: c; S* Z2 K& z3 T- p For[i = 0, i < n, i++, x1 = a + (b - a) i/n; x2 = x1 + (b - a)/n;4 U, N- a+ w/ a5 S! v" l; T5 I
  t1 = Append[t1,
; h) F. p/ }; U5 _    Graphics[{Blue, Rectangle[{x1, f[x1]}, {x2, f[x2]}]}]];, c6 H: h8 ?6 s" a. {- q
  t2 = Append[t2, Graphics[{Green, Rectangle[{x1, f[x1]}, {x2, 0}]}]]];1 B  ]( J) `% w9 D  j  n
Show[t1, t2, g, DisplayFunction -> $DisplayFunction, + [. y, w6 O  k2 t6 k2 W
  PlotLabel -> n "intervals"]]' E+ U5 A5 D2 V" x3 J( s0 u
5 ]- |1 y* e/ v
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作者: 变动的永恒    时间: 2014-11-20 21:20
太高端,不懂,帮顶# h/ g0 j- b; n

作者: 402    时间: 2014-12-1 19:54
已经解决。谢谢小木虫的大虾。
; Y0 \7 w  N" ?& p* c# G: Wf[x_] := x^2 + 1; a = 0; b = 2; m = 0;# d% L2 Z6 k) a, t  i  }/ ^
g = Plot[f[x], {x, a, b}, PlotStyle -> Red];4 c8 G( z+ X0 @* g! L* A7 x
Animate[t1 = {}; t2 = {};
# y/ `  H+ V% [7 D0 W For[i = 0, i < n, i++, x1 = a + (b - a) i/n; x2 = x1 + (b - a)/n;# b2 v) d" M8 d9 z! a2 D1 w/ B
  t1 = Append[t1,
. z% l6 E, A# D    Graphics[{Blue, Rectangle[{x1, f[x1]}, {x2, f[x2]}]}]];
5 H6 _+ }) t$ l8 T+ R2 o: P  t2 = Append[t2, Graphics[{Green, Rectangle[{x1, f[x1]}, {x2, 0}]}]]];
' v0 {: Q7 Q6 |; x4 S- l- k) e Show[t1, t2, g, PlotLabel -> n "intervals"], {n, 4, 100, 4}, / \& z9 ~' Z0 F" w
AnimationRunning -> False]  ]' w2 U! ^; o* d* n' O/ l

作者: 宏心    时间: 2014-12-8 09:31
牛。牛牛。
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作者: z43742516    时间: 2015-10-25 09:54
收藏起来慢慢看
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作者: z43742516    时间: 2015-10-25 09:54
收藏起来慢慢看8 D+ I5 H$ U( e; Y* D+ j' b

作者: meiya    时间: 2017-3-20 00:45
好牛,厉害
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