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抛物线正负根演示

抛物线正负根演示
几何画板及绘图内容加载中，请稍等……
2015-09-06 12:18
函数解析几何不等式
①本范例演示抛物线与x轴交点存在正负根的情况；②涉及核心概念：抛物线方程、一元二次方程根、判别式、函数图像；③构造要点：使用Textfield, Sequence, If命令，结合对象a, c, B188, B138, B2, b, 按钮1, infoText, f, correctAnswer, reaction_1, userCondition, userAnswer, окноВвода4进行交互式演示；④适合高中数学教学，用于理解抛物线与根的关系

GeoGebra 命令及参数

  1. Textfield(userCondition) → окноВвода4
  2. Sequence(Sequence[Sequence[{i, j, k}, i, -5, 5], j, -5, 5], k, -5, 5) → allArguments
  3. If(abs(A3 - A2) ≤ 2, B2, B2 + 1) → B3
  4. If(abs(A4 - A3) ≤ 2, B3, B3 + 1) → B4
  5. If(abs(A5 - A4) ≤ 2, B4, B4 + 1) → B5
  6. If(abs(A6 - A5) ≤ 2, B5, B5 + 1) → B6
  7. If(abs(A7 - A6) ≤ 2, B6, B6 + 1) → B7
  8. If(abs(A8 - A7) ≤ 2, B7, B7 + 1) → B8
  9. If(abs(A9 - A8) ≤ 2, B8, B8 + 1) → B9
  10. If(abs(A10 - A9) ≤ 2, B9, B9 + 1) → B10
  11. If(abs(A11 - A10) ≤ 2, B10, B10 + 1) → B11
  12. If(abs(A12 - A11) ≤ 2, B11, B11 + 1) → B12
  13. If(abs(A13 - A12) ≤ 2, B12, B12 + 1) → B13
  14. If(abs(A14 - A13) ≤ 2, B13, B13 + 1) → B14
  15. If(abs(A15 - A14) ≤ 2, B14, B14 + 1) → B15
  16. If(abs(A16 - A15) ≤ 2, B15, B15 + 1) → B16
  17. If(abs(A17 - A16) ≤ 2, B16, B16 + 1) → B17
  18. If(abs(A18 - A17) ≤ 2, B17, B17 + 1) → B18
  19. If(abs(A19 - A18) ≤ 2, B18, B18 + 1) → B19
  20. If(abs(A20 - A19) ≤ 2, B19, B19 + 1) → B20
  21. If(abs(A21 - A20) ≤ 2, B20, B20 + 1) → B21
  22. If(abs(A22 - A21) ≤ 2, B21, B21 + 1) → B22
  23. If(abs(A23 - A22) ≤ 2, B22, B22 + 1) → B23
  24. If(abs(A24 - A23) ≤ 2, B23, B23 + 1) → B24
  25. If(abs(A25 - A24) ≤ 2, B24, B24 + 1) → B25
  26. If(abs(A26 - A25) ≤ 2, B25, B25 + 1) → B26
  27. If(abs(A27 - A26) ≤ 2, B26, B26 + 1) → B27
  28. If(abs(A28 - A27) ≤ 2, B27, B27 + 1) → B28
  29. If(abs(A29 - A28) ≤ 2, B28, B28 + 1) → B29
  30. If(abs(A30 - A29) ≤ 2, B29, B29 + 1) → B30
  31. If(abs(A31 - A30) ≤ 2, B30, B30 + 1) → B31
  32. If(abs(A32 - A31) ≤ 2, B31, B31 + 1) → B32
  33. If(abs(A33 - A32) ≤ 2, B32, B32 + 1) → B33
  34. If(abs(A34 - A33) ≤ 2, B33, B33 + 1) → B34
  35. If(abs(A35 - A34) ≤ 2, B34, B34 + 1) → B35
  36. If(abs(A36 - A35) ≤ 2, B35, B35 + 1) → B36
  37. If(abs(A37 - A36) ≤ 2, B36, B36 + 1) → B37
  38. If(abs(A38 - A37) ≤ 2, B37, B37 + 1) → B38
  39. If(abs(A39 - A38) ≤ 2, B38, B38 + 1) → B39
  40. If(abs(A40 - A39) ≤ 2, B39, B39 + 1) → B40
  41. If(abs(A41 - A40) ≤ 2, B40, B40 + 1) → B41
  42. If(abs(A42 - A41) ≤ 2, B41, B41 + 1) → B42
  43. If(abs(A43 - A42) ≤ 2, B42, B42 + 1) → B43
  44. If(abs(A44 - A43) ≤ 2, B43, B43 + 1) → B44
  45. If(abs(A45 - A44) ≤ 2, B44, B44 + 1) → B45
  46. If(abs(A46 - A45) ≤ 2, B45, B45 + 1) → B46
  47. If(abs(A47 - A46) ≤ 2, B46, B46 + 1) → B47
  48. If(abs(A48 - A47) ≤ 2, B47, B47 + 1) → B48
  49. If(abs(A49 - A48) ≤ 2, B48, B48 + 1) → B49
  50. If(abs(A50 - A49) ≤ 2, B49, B49 + 1) → B50
  51. If(abs(A51 - A50) ≤ 2, B50, B50 + 1) → B51
  52. If(abs(A53 - A52) ≤ 2, B52, B52 + 1) → B53
  53. If(abs(A54 - A53) ≤ 2, B53, B53 + 1) → B54
  54. If(abs(A55 - A54) ≤ 2, B54, B54 + 1) → B55
  55. If(abs(A56 - A55) ≤ 2, B55, B55 + 1) → B56
  56. If(abs(A57 - A56) ≤ 2, B56, B56 + 1) → B57
  57. If(abs(A58 - A57) ≤ 2, B57, B57 + 1) → B58
  58. If(abs(A59 - A58) ≤ 2, B58, B58 + 1) → B59
  59. If(abs(A60 - A59) ≤ 2, B59, B59 + 1) → B60
  60. If(abs(A61 - A60) ≤ 2, B60, B60 + 1) → B61
  61. If(abs(A62 - A61) ≤ 2, B61, B61 + 1) → B62
  62. If(abs(A63 - A62) ≤ 2, B62, B62 + 1) → B63
  63. If(abs(A64 - A63) ≤ 2, B63, B63 + 1) → B64
  64. If(abs(A65 - A64) ≤ 2, B64, B64 + 1) → B65
  65. If(abs(A66 - A65) ≤ 2, B65, B65 + 1) → B66
  66. If(abs(A67 - A66) ≤ 2, B66, B66 + 1) → B67
  67. If(abs(A68 - A67) ≤ 2, B67, B67 + 1) → B68
  68. If(abs(A69 - A68) ≤ 2, B68, B68 + 1) → B69
  69. If(abs(A70 - A69) ≤ 2, B69, B69 + 1) → B70
  70. If(abs(A71 - A70) ≤ 2, B70, B70 + 1) → B71
  71. If(abs(A72 - A71) ≤ 2, B71, B71 + 1) → B72
  72. If(abs(A73 - A72) ≤ 2, B72, B72 + 1) → B73
  73. If(abs(A74 - A73) ≤ 2, B73, B73 + 1) → B74
  74. If(abs(A75 - A74) ≤ 2, B74, B74 + 1) → B75
  75. If(abs(A76 - A75) ≤ 2, B75, B75 + 1) → B76
  76. If(abs(A77 - A76) ≤ 2, B76, B76 + 1) → B77
  77. If(abs(A78 - A77) ≤ 2, B77, B77 + 1) → B78
  78. If(abs(A79 - A78) ≤ 2, B78, B78 + 1) → B79
  79. If(abs(A80 - A79) ≤ 2, B79, B79 + 1) → B80
  80. If(abs(A81 - A80) ≤ 2, B80, B80 + 1) → B81
  81. If(abs(A82 - A81) ≤ 2, B81, B81 + 1) → B82
  82. If(abs(A83 - A82) ≤ 2, B82, B82 + 1) → B83
  83. If(abs(A84 - A83) ≤ 2, B83, B83 + 1) → B84
  84. If(abs(A85 - A84) ≤ 2, B84, B84 + 1) → B85
  85. If(abs(A86 - A85) ≤ 2, B85, B85 + 1) → B86
  86. If(abs(A87 - A86) ≤ 2, B86, B86 + 1) → B87
  87. If(abs(A88 - A87) ≤ 2, B87, B87 + 1) → B88
  88. If(abs(A89 - A88) ≤ 2, B88, B88 + 1) → B89
  89. If(abs(A90 - A89) ≤ 2, B89, B89 + 1) → B90
  90. If(abs(A91 - A90) ≤ 2, B90, B90 + 1) → B91
  91. If(abs(A92 - A91) ≤ 2, B91, B91 + 1) → B92
  92. If(abs(A93 - A92) ≤ 2, B92, B92 + 1) → B93
  93. If(abs(A94 - A93) ≤ 2, B93, B93 + 1) → B94
  94. If(abs(A95 - A94) ≤ 2, B94, B94 + 1) → B95
  95. If(abs(A96 - A95) ≤ 2, B95, B95 + 1) → B96
  96. If(abs(A97 - A96) ≤ 2, B96, B96 + 1) → B97
  97. If(abs(A98 - A97) ≤ 2, B97, B97 + 1) → B98
  98. If(abs(A99 - A98) ≤ 2, B98, B98 + 1) → B99
  99. If(abs(A100 - A99) ≤ 2, B99, B99 + 1) → B100
  100. If(abs(A101 - A100) ≤ 2, B100, B100 + 1) → B101
  101. If(abs(A103 - A102) ≤ 2, B102, B102 + 1) → B103
  102. If(abs(A104 - A103) ≤ 2, B103, B103 + 1) → B104
  103. If(abs(A105 - A104) ≤ 2, B104, B104 + 1) → B105
  104. If(abs(A106 - A105) ≤ 2, B105, B105 + 1) → B106
  105. If(abs(A107 - A106) ≤ 2, B106, B106 + 1) → B107
  106. If(abs(A108 - A107) ≤ 2, B107, B107 + 1) → B108
  107. If(abs(A109 - A108) ≤ 2, B108, B108 + 1) → B109
  108. If(abs(A110 - A109) ≤ 2, B109, B109 + 1) → B110
  109. If(abs(A111 - A110) ≤ 2, B110, B110 + 1) → B111
  110. If(abs(A112 - A111) ≤ 2, B111, B111 + 1) → B112
  111. If(abs(A113 - A112) ≤ 2, B112, B112 + 1) → B113
  112. If(abs(A114 - A113) ≤ 2, B113, B113 + 1) → B114
  113. If(abs(A115 - A114) ≤ 2, B114, B114 + 1) → B115
  114. If(abs(A116 - A115) ≤ 2, B115, B115 + 1) → B116
  115. If(abs(A117 - A116) ≤ 2, B116, B116 + 1) → B117
  116. If(abs(A118 - A117) ≤ 2, B117, B117 + 1) → B118
  117. If(abs(A119 - A118) ≤ 2, B118, B118 + 1) → B119
  118. If(abs(A120 - A119) ≤ 2, B119, B119 + 1) → B120
  119. If(abs(A121 - A120) ≤ 2, B120, B120 + 1) → B121
  120. If(abs(A122 - A121) ≤ 2, B121, B121 + 1) → B122
  121. If(abs(A123 - A122) ≤ 2, B122, B122 + 1) → B123
  122. If(abs(A124 - A123) ≤ 2, B123, B123 + 1) → B124
  123. If(abs(A125 - A124) ≤ 2, B124, B124 + 1) → B125
  124. If(abs(A126 - A125) ≤ 2, B125, B125 + 1) → B126
  125. If(abs(A127 - A126) ≤ 2, B126, B126 + 1) → B127
  126. If(abs(A128 - A127) ≤ 2, B127, B127 + 1) → B128
  127. If(abs(A129 - A128) ≤ 2, B128, B128 + 1) → B129
  128. If(abs(A130 - A129) ≤ 2, B129, B129 + 1) → B130
  129. If(abs(A131 - A130) ≤ 2, B130, B130 + 1) → B131
  130. If(abs(A132 - A131) ≤ 2, B131, B131 + 1) → B132
  131. If(abs(A133 - A132) ≤ 2, B132, B132 + 1) → B133
  132. If(abs(A134 - A133) ≤ 2, B133, B133 + 1) → B134
  133. If(abs(A135 - A134) ≤ 2, B134, B134 + 1) → B135
  134. If(abs(A136 - A135) ≤ 2, B135, B135 + 1) → B136
  135. If(abs(A137 - A136) ≤ 2, B136, B136 + 1) → B137
  136. If(abs(A139 - A138) ≤ 2, B138, B138 + 1) → B139
  137. If(abs(A140 - A139) ≤ 2, B139, B139 + 1) → B140
  138. If(abs(A141 - A140) ≤ 2, B140, B140 + 1) → B141
  139. If(abs(A142 - A141) ≤ 2, B141, B141 + 1) → B142
  140. If(abs(A143 - A142) ≤ 2, B142, B142 + 1) → B143
  141. If(abs(A144 - A143) ≤ 2, B143, B143 + 1) → B144
  142. If(abs(A145 - A144) ≤ 2, B144, B144 + 1) → B145
  143. If(abs(A146 - A145) ≤ 2, B145, B145 + 1) → B146
  144. If(abs(A147 - A146) ≤ 2, B146, B146 + 1) → B147
  145. If(abs(A148 - A147) ≤ 2, B147, B147 + 1) → B148
  146. If(abs(A149 - A148) ≤ 2, B148, B148 + 1) → B149
  147. If(abs(A150 - A149) ≤ 2, B149, B149 + 1) → B150
  148. If(abs(A153 - A152) ≤ 2, B152, B152 + 1) → B153
  149. If(abs(A154 - A153) ≤ 2, B153, B153 + 1) → B154
  150. If(abs(A155 - A154) ≤ 2, B154, B154 + 1) → B155
  151. If(abs(A156 - A155) ≤ 2, B155, B155 + 1) → B156
  152. If(abs(A157 - A156) ≤ 2, B156, B156 + 1) → B157
  153. If(abs(A158 - A157) ≤ 2, B157, B157 + 1) → B158
  154. If(abs(A159 - A158) ≤ 2, B158, B158 + 1) → B159
  155. If(abs(A160 - A159) ≤ 2, B159, B159 + 1) → B160
  156. If(abs(A161 - A160) ≤ 2, B160, B160 + 1) → B161
  157. If(abs(A162 - A161) ≤ 2, B161, B161 + 1) → B162
  158. If(abs(A163 - A162) ≤ 2, B162, B162 + 1) → B163
  159. If(abs(A164 - A163) ≤ 2, B163, B163 + 1) → B164
  160. If(abs(A165 - A164) ≤ 2, B164, B164 + 1) → B165
  161. If(abs(A166 - A165) ≤ 2, B165, B165 + 1) → B166
  162. If(abs(A167 - A166) ≤ 2, B166, B166 + 1) → B167
  163. If(abs(A168 - A167) ≤ 2, B167, B167 + 1) → B168
  164. If(abs(A169 - A168) ≤ 2, B168, B168 + 1) → B169
  165. If(abs(A170 - A169) ≤ 2, B169, B169 + 1) → B170
  166. If(abs(A171 - A170) ≤ 2, B170, B170 + 1) → B171
  167. If(abs(A172 - A171) ≤ 2, B171, B171 + 1) → B172
  168. If(abs(A173 - A172) ≤ 2, B172, B172 + 1) → B173
  169. If(abs(A174 - A173) ≤ 2, B173, B173 + 1) → B174
  170. If(abs(A175 - A174) ≤ 2, B174, B174 + 1) → B175
  171. If(abs(A176 - A175) ≤ 2, B175, B175 + 1) → B176
  172. If(abs(A177 - A176) ≤ 2, B176, B176 + 1) → B177
  173. If(abs(A178 - A177) ≤ 2, B177, B177 + 1) → B178
  174. If(abs(A179 - A178) ≤ 2, B178, B178 + 1) → B179
  175. If(abs(A180 - A179) ≤ 2, B179, B179 + 1) → B180
  176. If(abs(A181 - A180) ≤ 2, B180, B180 + 1) → B181
  177. If(abs(A182 - A181) ≤ 2, B181, B181 + 1) → B182
  178. If(abs(A183 - A182) ≤ 2, B182, B182 + 1) → B183
  179. If(abs(A184 - A183) ≤ 2, B183, B183 + 1) → B184
  180. If(abs(A185 - A184) ≤ 2, B184, B184 + 1) → B185
  181. If(abs(A186 - A185) ≤ 2, B185, B185 + 1) → B186
  182. If(abs(A187 - A186) ≤ 2, B186, B186 + 1) → B187
  183. If(abs(A189 - A188) ≤ 2, B188, B188 + 1) → B189
  184. If(abs(A190 - A189) ≤ 2, B189, B189 + 1) → B190
  185. If(abs(A191 - A190) ≤ 2, B190, B190 + 1) → B191
  186. If(abs(A192 - A191) ≤ 2, B191, B191 + 1) → B192
  187. If(abs(A193 - A192) ≤ 2, B192, B192 + 1) → B193
  188. If(abs(A194 - A193) ≤ 2, B193, B193 + 1) → B194
  189. If(abs(A195 - A194) ≤ 2, B194, B194 + 1) → B195
  190. If(abs(A196 - A195) ≤ 2, B195, B195 + 1) → B196
  191. If(abs(A197 - A196) ≤ 2, B196, B196 + 1) → B197
  192. If(abs(A198 - A197) ≤ 2, B197, B197 + 1) → B198
  193. If(abs(A199 - A198) ≤ 2, B198, B198 + 1) → B199
  194. If(abs(A200 - A199) ≤ 2, B199, B199 + 1) → B200
  195. If(abs(A201 - A200) ≤ 2, B200, B200 + 1) → B201
  196. If(abs(A203 - A202) ≤ 2, B202, B202 + 1) → B203
  197. If(abs(A204 - A203) ≤ 2, B203, B203 + 1) → B204
  198. If(abs(A205 - A204) ≤ 2, B204, B204 + 1) → B205
  199. If(abs(A206 - A205) ≤ 2, B205, B205 + 1) → B206
  200. If(abs(A207 - A206) ≤ 2, B206, B206 + 1) → B207
  201. If(abs(A208 - A207) ≤ 2, B207, B207 + 1) → B208
  202. If(abs(A209 - A208) ≤ 2, B208, B208 + 1) → B209
  203. If(abs(A210 - A209) ≤ 2, B209, B209 + 1) → B210
  204. If(abs(A211 - A210) ≤ 2, B210, B210 + 1) → B211
  205. If(abs(A212 - A211) ≤ 2, B211, B211 + 1) → B212
  206. If(abs(A213 - A212) ≤ 2, B212, B212 + 1) → B213
  207. If(abs(A214 - A213) ≤ 2, B213, B213 + 1) → B214
  208. If(abs(A215 - A214) ≤ 2, B214, B214 + 1) → B215
  209. If(abs(A216 - A215) ≤ 2, B215, B215 + 1) → B216
  210. If(abs(A217 - A216) ≤ 2, B216, B216 + 1) → B217
  211. If(abs(A218 - A217) ≤ 2, B217, B217 + 1) → B218
  212. If(abs(A219 - A218) ≤ 2, B218, B218 + 1) → B219
  213. If(abs(A220 - A219) ≤ 2, B219, B219 + 1) → B220
  214. If(abs(A221 - A220) ≤ 2, B220, B220 + 1) → B221
  215. If(abs(A222 - A221) ≤ 2, B221, B221 + 1) → B222
  216. If(abs(A223 - A222) ≤ 2, B222, B222 + 1) → B223
  217. If(abs(A224 - A223) ≤ 2, B223, B223 + 1) → B224
  218. If(abs(A225 - A224) ≤ 2, B224, B224 + 1) → B225
  219. If(abs(A226 - A225) ≤ 2, B225, B225 + 1) → B226
  220. If(abs(A227 - A226) ≤ 2, B226, B226 + 1) → B227
  221. If(abs(A228 - A227) ≤ 2, B227, B227 + 1) → B228
  222. If(abs(A229 - A228) ≤ 2, B228, B228 + 1) → B229
  223. If(abs(A230 - A229) ≤ 2, B229, B229 + 1) → B230
  224. If(abs(A231 - A230) ≤ 2, B230, B230 + 1) → B231
  225. If(abs(A232 - A231) ≤ 2, B231, B231 + 1) → B232
  226. If(abs(A233 - A232) ≤ 2, B232, B232 + 1) → B233
  227. If(abs(A234 - A233) ≤ 2, B233, B233 + 1) → B234
  228. If(abs(A235 - A234) ≤ 2, B234, B234 + 1) → B235
  229. If(abs(A236 - A235) ≤ 2, B235, B235 + 1) → B236
  230. If(abs(A237 - A236) ≤ 2, B236, B236 + 1) → B237
  231. If(abs(A238 - A237) ≤ 2, B237, B237 + 1) → B238
  232. If(abs(A239 - A238) ≤ 2, B238, B238 + 1) → B239
  233. If(abs(A240 - A239) ≤ 2, B239, B239 + 1) → B240
  234. If(abs(A241 - A240) ≤ 2, B240, B240 + 1) → B241
  235. If(abs(A242 - A241) ≤ 2, B241, B241 + 1) → B242
  236. If(abs(A243 - A242) ≤ 2, B242, B242 + 1) → B243
  237. If(abs(A244 - A243) ≤ 2, B243, B243 + 1) → B244
  238. If(abs(A245 - A244) ≤ 2, B244, B244 + 1) → B245
  239. If(abs(A246 - A245) ≤ 2, B245, B245 + 1) → B246
  240. If(abs(A247 - A246) ≤ 2, B246, B246 + 1) → B247
  241. If(abs(A248 - A247) ≤ 2, B247, B247 + 1) → B248
  242. If(abs(A249 - A248) ≤ 2, B248, B248 + 1) → B249
  243. If(abs(A250 - A249) ≤ 2, B249, B249 + 1) → B250
  244. If(abs(A251 - A250) ≤ 2, B250, B250 + 1) → B251