减法练习：2.1 减 0.4 的可视化操作

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2016-09-30 11:07

① 本范例演示了小数减法 2.1 - 0.4 的直观计算过程，通过交互式输入和图形反馈帮助理解减法含义。② 核心数学概念是小数减法、数位对齐和结果验证，涉及基础算术运算。③ 作图要点：使用 GeoGebra 的 Textfield 创建输入框，One1 和 Tenth1 分别表示个位和十分位，AttachCopyToView 将文本固定到视图；通过 Check 和 ToggleGrid 控制检查与网格显示，Answer 和 Clear 按钮用于提交和重置，GuessValue 和变量 a、b 存储输入值，text1 显示提示，A、poly1 等对象构建图形表示，f、g、h 等函数或曲线辅助可视化，stroke1 用于绘制笔画，最终通过动态交互实现减法练习。④ 适合小学中高年级数学课堂或家庭练习，用于巩固小数减法概念和计算技能。

GeoGebra 命令及参数

Textfield(a) → GuessValue
One1(A) → poly1, f, g, h, i
One1(B) → poly2, j, k, l, m
Tenth1(D) → poly4, s, t, c, d
AttachCopyToView(PolyLine[(2.8015111786809768, 3.3936222474437954), (2.8248584137962665, 3.3936222474437954), (2.848205648911556, 3.3936222474437954), (2.871552884026846, 3.3936222474437954), (2.9007369279209576, 3.3936222474437954), (2.92992097181507, 3.3936222474437954), (2.959105015709182, 3.3936222474437954), (2.9824522508244713, 3.3936222474437954), (3.005799485939761, 3.3936222474437954), (3.0291467210550507, 3.3936222474437954), true], 1, (-0.23362938630667396, 1.4266176889807005), (3.636174834052581, 4.222449094036554), (-62.76899373894558, 483.5603154033892), (600.2310062610543, 4.560315403389202)) → stroke1
Tenth1(G) → poly7, m_1, n_1, p_1, q_1
Tenth1(H) → poly8, r_1, s_1, t_1, a_1
Tenth1(I) → poly9, b_1, c_1, d_1, e_1
Tenth1(J) → poly10, f_2, g_2, h_2, i_2
Tenth1(K) → poly11, j_2, k_2, l_2, m_2
Tenth1(L) → poly12, n_2, p_2, q_2, r_2
Tenth1(M) → poly13, s_2, t_2, a_2, b_2
Tenth1(N) → poly14, c_2, d_2, e_2, f_3
Tenth1(O) → poly15, g_3, h_3, i_3, j_3
Tenth1(P) → poly16, k_3, l_3, m_3, n_3
Tenth1(Q) → poly17, p_3, q_3, r_3, s_3
Tenth1(R) → poly18, t_3, a_3, b_3, c_3
Tenth1(S) → poly19, d_3, e_3, f_4, g_4
Tenth1(T) → poly20, h_4, i_4, j_4, k_4
One1(V) → poly5, e, f_1, g_1, h_1
Tenth1(W) → poly3, n, p, q, r
AttachCopyToView(PolyLine[(2.6672645767680616, 2.5297745481781035), (2.6847750031045288, 2.5239377393992815), (2.7256326645562856, 2.49475369550517), (2.7664903260080425, 2.4714064603898813), (2.813184796238622, 2.44222241649577), (2.8540424576903787, 2.4130383726016587), (2.90657373669978, 2.38969113748637), (2.9532682069303595, 2.3546702848134364), (2.9941258683821164, 2.3313230496981476), (3.023309912276228, 2.3079758145828584), (3.0524939561703404, 2.2846285794675696), (3.0816780000644526, 2.267118153131103), (3.1108620439585644, 2.2437709180158136), (3.1283724702950315, 2.2379341092369915), (NaN, NaN), (3.058330764949163, 2.5239377393992815), (3.0291467210550507, 2.5181009306204594), (3.0116362947185835, 2.5064273130628147), (2.988289059603294, 2.49475369550517), (2.9532682069303595, 2.465569651611059), (2.9357577805938924, 2.448059225274592), (2.90657373669978, 2.4305487989381254), (2.8832265015844905, 2.4130383726016587), (2.8657160752480233, 2.4072015638228366), (2.8423688401327336, 2.3780175199287252), (2.8248584137962665, 2.3605070935922585), (2.8073479874597993, 2.3546702848134364), (2.789837561123332, 2.3313230496981476), (2.7664903260080425, 2.3079758145828584), (2.7373062821139307, 2.2787917706887475), (2.719795855777463, 2.2554445355734583), (2.702285429440996, 2.2379341092369915), (2.6847750031045288, 2.220423682900525), (2.6672645767680616, 2.20875006534288), (2.655590959210417, 2.1912396390064135), (2.6322437240951273, 2.173729212669947), (2.6088964889798376, 2.150381977554658), (2.5913860626433705, 2.1387083599970134), (NaN, NaN), (2.124441360337578, 2.786594134446282), (2.1477885954528677, 2.7690837081098154), (2.1594622130105123, 2.7457364729945266), (2.1886462569046246, 2.7223892378792374), (2.223667109577559, 2.6932051939851265), (2.2645247710293157, 2.6698579588698372), (2.29954562370225, 2.634837106196904), (2.3462400939328294, 2.5939794447451483), (2.3870977553845862, 2.558958592072215), (2.416281799278698, 2.5181009306204594), (2.4804866958457445, 2.4714064603898813), (2.5213443572975014, 2.436385607716948), (2.5622020187492582, 2.4013647550440145), (2.5913860626433705, 2.3605070935922585), (2.6205701065374822, 2.3313230496981476), (2.6497541504315945, 2.3021390058040363), (2.673101385546884, 2.272954961909925), (2.696448620662174, 2.249607726794636), (2.713959046998641, 2.2379341092369915), (2.713959046998641, 2.197076447785236), (2.713959046998641, 2.173729212669947), (2.702285429440996, 2.127034742439369), (2.702285429440996, 2.097850698545258), (2.702285429440996, 2.0628298458723244), (2.702285429440996, 2.033645801978213), (2.7081222382198185, 2.0044617580841018), (2.713959046998641, 1.981114522968813), (2.7256326645562856, 1.957767287853524), (2.7431430908927528, 1.9402568615170572), (2.76065351722922, 1.9227464351805905), (2.7781639435656875, 1.9110728176229461), (2.7840007523445096, 1.8935623912864794), (2.8015111786809768, 1.8760519649500127), (NaN, NaN), (2.8015111786809768, 2.7690837081098154), (2.789837561123332, 2.7398996642157045), (2.76065351722922, 2.6932051939851265), (2.731469473335108, 2.6406739149757263), (2.6906118118833513, 2.564795400851037), (2.6205701065374822, 2.4538960340534146), (2.5505284011916136, 2.325486240919325), (2.4629762695092774, 2.1854028302275914), (2.369587329048119, 2.0102985668629243), (2.29954562370225, 1.881888773728835), (2.211993492019914, 1.7534789805947455), (2.165299021789335, 1.689274084027701), (2.1361149778952226, 1.6425796137971231), (2.106930934001111, 1.6133955699030118), (2.0894205076646433, 1.595885143566545), (2.071910081328176, 1.6192323786818341), (2.054399654991709, 1.6425796137971231), (2.0485628462128864, 1.6600900401335899), (2.036889228655242, 1.6951108928065233), (2.036889228655242, 1.718458127921812), (2.036889228655242, 1.741805363037101), (2.0427260374340643, 1.7709894069312124), (2.071910081328176, 1.7943366420465012), (2.1010941252222883, 1.8176838771617903), (2.1186045515587555, 1.8410311122770793), (2.1302781691164, 1.858541538613546), (2.1302781691164, 1.881888773728835), true], 1, (-0.23362938630667396, 1.4266176889807005), (3.636174834052581, 4.222449094036554), (0, 479), (663, 0)) → stroke2

AI 绘图提示语参考

画一个交互式图形，展示小数减法 2.1 - 0.4 的过程。包含输入框让用户输入数值，用图形表示整数位和十分位，通过动态线条可视化减法操作和结果。先画出代表整数和十分位的图形元素，再绘制连接这些元素的线条，最后添加输入框和提示文字，完成减法过程的可视化展示。

以上提示语为根据原始绘图命令整理而来，仅供参考。