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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];  d2 N7 s, h6 }0 B9 W& g, b  m
f[x_]: = x^2; a = 0; b = 1.5; m = 0;
% a; N& z" }% D& qg1 = Plot[f[x], {x, a, b}, PlotStyle -> {RGBColor[1, 0, 0]}, 0 J/ L/ }& h" f' d
   DisplayFunction -> Identity];
' R' c" m7 w& F% [! ]For[j = 3, j <= 50, j += 2, m = j; tt1 = {}; tt2 = {};4 V8 ~: x9 o9 s0 s3 R% g
For[i = 0, i < m, i++, x1 = a + i*(b - a)/m; x2 = x1 + (b - a)/m; . ]( b% @, l: j
  tt1 = Append[tt1, $ o( Z+ Q' B( Z- O/ q3 y1 a$ E
    Graphics[{RGBColor[0, 0, 1], Rectangle[{x1, 0}, {x2, f[x2]}]}]];$ {: D4 i3 f( g+ |/ @4 ~' n
  tt2 = Append[tt2, 4 l1 }* W) T' V( C# A9 Q
    Graphics[{RGBColor[0, 0, 1], Rectangle[{x1, f[x1]}, {x2, 0}]}]]];
) b& N4 Z) g. E: G2 [ Show[tt1, tt2, g1, DisplayFunction -> $DisplayFunction, / ^( B4 ]* |3 @7 h
  PlotLabel -> m'' intervals'']]. |2 ^6 l# v& t& P% a* V$ P
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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?- q6 U# i7 E/ w5 x1 D9 `% a+ B
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f[x_] := x^2 + 1; a = 0; b = 2; m = 0;: X, G* x- l, V; S5 R6 _9 ~5 _
g = Plot[f[x], {x, a, b}, PlotStyle -> Red, # z% W% y( \4 b! s
  DisplayFunction -> Identity]
" @% O% I/ {4 [5 JFor[n = 0, n < 100, n = n + 4; t1 = {}; t2 = {};
9 ?, f+ K" Y+ ?/ t; `2 [4 T. w For[i = 0, i < n, i++, x1 = a + (b - a) i/n; x2 = x1 + (b - a)/n;
4 x- I* O% ?( U7 Y  t1 = Append[t1,
% U) A# }4 X$ Y, n% r0 _3 \    Graphics[{Blue, Rectangle[{x1, f[x1]}, {x2, f[x2]}]}]];
# o& T8 @) N! W' E  t2 = Append[t2, Graphics[{Green, Rectangle[{x1, f[x1]}, {x2, 0}]}]]];  i6 ?6 g  T. b* Z( U2 R$ y
Show[t1, t2, g, DisplayFunction -> $DisplayFunction,
% c8 Q; O9 a" E$ u- j# a5 v: ]  PlotLabel -> n "intervals"]]
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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
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作者: 402    时间: 2014-12-1 19:54
已经解决。谢谢小木虫的大虾。) c4 V  [7 Z" g3 U
f[x_] := x^2 + 1; a = 0; b = 2; m = 0;
& k* P$ g* v6 \9 Z0 `+ m4 `4 fg = Plot[f[x], {x, a, b}, PlotStyle -> Red];2 F, _0 f6 s2 y2 |
Animate[t1 = {}; t2 = {};
2 C, C% v) h, n6 e7 s1 ~  m For[i = 0, i < n, i++, x1 = a + (b - a) i/n; x2 = x1 + (b - a)/n;/ J- e' M3 ^% [6 T
  t1 = Append[t1, # |/ t2 l) B2 ~
    Graphics[{Blue, Rectangle[{x1, f[x1]}, {x2, f[x2]}]}]];: k: r. C  B5 p! b! q/ @1 c3 I+ z
  t2 = Append[t2, Graphics[{Green, Rectangle[{x1, f[x1]}, {x2, 0}]}]]];4 k( w7 D9 P. E, ^
Show[t1, t2, g, PlotLabel -> n "intervals"], {n, 4, 100, 4},
1 h6 K# T0 U/ U. \9 e9 ]. E AnimationRunning -> False]# o+ W; F: s# N7 D

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