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公倍数小工具：分数

公倍数小工具：分数
几何画板及绘图内容加载中，请稍等……
2017-08-31 07:10
变换几何作图
这个范例演示了如何通过几何变换找到两个分数的公倍数。核心数学概念包括分数和相似变换。通过使用向量、平移、多边形等GeoGebra命令，用户可以直观地理解分数的加法和公倍数的概念。适合小学高年级和初中学生学习分数运算和几何变换。

GeoGebra 命令及参数

  1. Vector(B1, F1) → u
  2. Segment(B2, C2) → J2
  3. Segment(D2, E2) → K2
  4. Segment(F2, G2) → L2
  5. Segment(H2, I2) → M2
  6. Segment(B3, C3) → J3
  7. Segment(D3, E3) → K3
  8. Segment(F3, G3) → L3
  9. Segment(H3, I3) → M3
  10. Segment(B4, C4) → J4
  11. Segment(D4, E4) → K4
  12. Segment(F4, G4) → L4
  13. Segment(H4, I4) → M4
  14. Segment(B5, C5) → J5
  15. Segment(D5, E5) → K5
  16. Segment(F5, G5) → L5
  17. Segment(H5, I5) → M5
  18. Segment(B6, C6) → J6
  19. Segment(D6, E6) → K6
  20. Segment(F6, G6) → L6
  21. Segment(H6, I6) → M6
  22. Segment(B7, C7) → J7
  23. Segment(D7, E7) → K7
  24. Segment(F7, G7) → L7
  25. Segment(H7, I7) → M7
  26. Segment(B8, C8) → J8
  27. Segment(D8, E8) → K8
  28. Segment(F8, G8) → L8
  29. Segment(H8, I8) → M8
  30. Segment(B9, C9) → J9
  31. Segment(D9, E9) → K9
  32. Segment(F9, G9) → L9
  33. Segment(H9, I9) → M9
  34. Segment(B10, C10) → J10
  35. Segment(D10, E10) → K10
  36. Segment(F10, G10) → L10
  37. Segment(H10, I10) → M10
  38. Segment(B11, C11) → J11
  39. Segment(D11, E11) → K11
  40. Segment(F11, G11) → L11
  41. Segment(H11, I11) → M11
  42. Segment(B12, C12) → J12
  43. Segment(D12, E12) → K12
  44. Segment(F12, G12) → L12
  45. Segment(H12, I12) → M12
  46. Segment(B13, C13) → J13
  47. Segment(D13, E13) → K13
  48. Segment(F13, G13) → L13
  49. Segment(H13, I13) → M13
  50. Segment(B14, C14) → J14
  51. Segment(D14, E14) → K14
  52. Segment(F14, G14) → L14
  53. Segment(H14, I14) → M14
  54. Segment(B15, C15) → J15
  55. Segment(D15, E15) → K15
  56. Segment(F15, G15) → L15
  57. Segment(H15, I15) → M15
  58. Segment(B16, C16) → J16
  59. Segment(D16, E16) → K16
  60. Segment(F16, G16) → L16
  61. Segment(H16, I16) → M16
  62. Segment(B17, C17) → J17
  63. Segment(D17, E17) → K17
  64. Segment(F17, G17) → L17
  65. Segment(H17, I17) → M17
  66. Segment(B18, C18) → J18
  67. Segment(D18, E18) → K18
  68. Segment(F18, G18) → L18
  69. Segment(H18, I18) → M18
  70. Segment(B19, C19) → J19
  71. Segment(D19, E19) → K19
  72. Segment(F19, G19) → L19
  73. Segment(H19, I19) → M19
  74. Segment(B20, C20) → J20
  75. Segment(D20, E20) → K20
  76. Segment(F20, G20) → L20
  77. Segment(H20, I20) → M20
  78. Segment(B21, C21) → J21
  79. Segment(D21, E21) → K21
  80. Segment(F21, G21) → L21
  81. Segment(H21, I21) → M21
  82. Segment(F22, G22) → L22
  83. Segment(H22, I22) → M22
  84. Segment(F23, G23) → L23
  85. Segment(H23, I23) → M23
  86. Segment(F24, G24) → L24
  87. Segment(H24, I24) → M24
  88. Segment(F25, G25) → L25
  89. Segment(H25, I25) → M25
  90. Segment(F26, G26) → L26
  91. Segment(H26, I26) → M26
  92. Segment(F27, G27) → L27
  93. Segment(H27, I27) → M27
  94. Segment(F28, G28) → L28
  95. Segment(H28, I28) → M28
  96. Segment(F29, G29) → L29
  97. Segment(H29, I29) → M29
  98. Segment(F30, G30) → L30
  99. Segment(H30, I30) → M30
  100. Segment(F31, G31) → L31
  101. Segment(H31, I31) → M31
  102. Segment(F32, G32) → L32
  103. Segment(H32, I32) → M32
  104. Segment(F33, G33) → L33
  105. Segment(H33, I33) → M33
  106. Segment(F34, G34) → L34
  107. Segment(H34, I34) → M34
  108. Segment(F35, G35) → L35
  109. Segment(H35, I35) → M35
  110. Segment(F36, G36) → L36
  111. Segment(H36, I36) → M36
  112. Segment(F37, G37) → L37
  113. Segment(H37, I37) → M37
  114. Segment(F38, G38) → L38
  115. Segment(H38, I38) → M38
  116. Segment(F39, G39) → L39
  117. Segment(H39, I39) → M39
  118. Segment(F40, G40) → L40
  119. Segment(H40, I40) → M40
  120. Segment(F41, G41) → L41
  121. Segment(H41, I41) → M41
  122. Segment(F42, G42) → L42
  123. Segment(H42, I42) → M42
  124. Segment(F43, G43) → L43
  125. Segment(H43, I43) → M43
  126. Segment(F44, G44) → L44
  127. Segment(H44, I44) → M44
  128. Segment(F45, G45) → L45
  129. Segment(H45, I45) → M45
  130. Segment(F46, G46) → L46
  131. Segment(H46, I46) → M46
  132. Segment(F47, G47) → L47
  133. Segment(H47, I47) → M47
  134. Segment(F48, G48) → L48
  135. Segment(H48, I48) → M48
  136. Segment(F49, G49) → L49
  137. Segment(H49, I49) → M49
  138. Segment(F50, G50) → L50
  139. Segment(H50, I50) → M50
  140. Segment(F51, G51) → L51
  141. Segment(H51, I51) → M51
  142. Segment(F52, G52) → L52
  143. Segment(H52, I52) → M52
  144. Segment(F53, G53) → L53
  145. Segment(H53, I53) → M53
  146. Segment(F54, G54) → L54
  147. Segment(H54, I54) → M54
  148. Segment(F55, G55) → L55
  149. Segment(H55, I55) → M55
  150. Segment(F56, G56) → L56
  151. Segment(H56, I56) → M56
  152. Segment(F57, G57) → L57
  153. Segment(H57, I57) → M57
  154. Segment(F58, G58) → L58
  155. Segment(H58, I58) → M58
  156. Segment(F59, G59) → L59
  157. Segment(H59, I59) → M59
  158. Segment(F60, G60) → L60
  159. Segment(H60, I60) → M60
  160. Segment(F61, G61) → L61
  161. Segment(H61, I61) → M61
  162. Segment(F62, G62) → L62
  163. Segment(H62, I62) → M62
  164. Segment(F63, G63) → L63
  165. Segment(H63, I63) → M63
  166. Segment(F64, G64) → L64
  167. Segment(H64, I64) → M64
  168. Segment(F65, G65) → L65
  169. Segment(H65, I65) → M65
  170. Segment(F66, G66) → L66
  171. Segment(H66, I66) → M66
  172. Segment(F67, G67) → L67
  173. Segment(H67, I67) → M67
  174. Segment(F68, G68) → L68
  175. Segment(H68, I68) → M68
  176. Segment(F69, G69) → L69
  177. Segment(H69, I69) → M69
  178. Segment(F70, G70) → L70
  179. Segment(H70, I70) → M70
  180. Segment(F71, G71) → L71
  181. Segment(H71, I71) → M71
  182. Segment(F72, G72) → L72
  183. Segment(H72, I72) → M72
  184. Segment(F73, G73) → L73
  185. Segment(H73, I73) → M73
  186. Segment(F74, G74) → L74
  187. Segment(H74, I74) → M74
  188. Segment(F75, G75) → L75
  189. Segment(H75, I75) → M75
  190. Segment(F76, G76) → L76
  191. Segment(H76, I76) → M76
  192. Segment(F77, G77) → L77
  193. Segment(H77, I77) → M77
  194. Segment(F78, G78) → L78
  195. Segment(H78, I78) → M78
  196. Segment(F79, G79) → L79
  197. Segment(H79, I79) → M79
  198. Segment(F80, G80) → L80
  199. Segment(H80, I80) → M80
  200. Segment(F81, G81) → L81
  201. Segment(H81, I81) → M81
  202. Segment(F82, G82) → L82
  203. Segment(H82, I82) → M82
  204. Segment(F83, G83) → L83
  205. Segment(H83, I83) → M83
  206. Segment(F84, G84) → L84
  207. Segment(H84, I84) → M84
  208. Segment(F85, G85) → L85
  209. Segment(H85, I85) → M85
  210. Segment(F86, G86) → L86
  211. Segment(H86, I86) → M86
  212. Segment(F87, G87) → L87
  213. Segment(H87, I87) → M87
  214. Segment(F88, G88) → L88
  215. Segment(H88, I88) → M88
  216. Segment(F89, G89) → L89
  217. Segment(H89, I89) → M89
  218. Segment(F90, G90) → L90
  219. Segment(H90, I90) → M90
  220. Segment(F91, G91) → L91
  221. Segment(H91, I91) → M91
  222. Segment(F92, G92) → L92
  223. Segment(H92, I92) → M92
  224. Segment(F93, G93) → L93
  225. Segment(H93, I93) → M93
  226. Segment(F94, G94) → L94
  227. Segment(H94, I94) → M94
  228. Segment(F95, G95) → L95
  229. Segment(H95, I95) → M95
  230. Segment(F96, G96) → L96
  231. Segment(H96, I96) → M96
  232. Segment(F97, G97) → L97
  233. Segment(H97, I97) → M97
  234. Segment(F98, G98) → L98
  235. Segment(H98, I98) → M98
  236. Segment(F99, G99) → L99
  237. Segment(H99, I99) → M99
  238. Segment(F100, G100) → L100
  239. Segment(H100, I100) → M100
  240. Segment(F101, G101) → L101
  241. Segment(H101, I101) → M101
  242. Segment(F102, G102) → L102
  243. Segment(H102, I102) → M102
  244. Segment(F103, G103) → L103
  245. Segment(H103, I103) → M103
  246. Segment(F104, G104) → L104
  247. Segment(H104, I104) → M104
  248. Segment(F105, G105) → L105
  249. Segment(H105, I105) → M105
  250. Segment(F106, G106) → L106
  251. Segment(H106, I106) → M106
  252. Segment(F107, G107) → L107
  253. Segment(H107, I107) → M107
  254. Segment(F108, G108) → L108
  255. Segment(H108, I108) → M108
  256. Segment(F109, G109) → L109
  257. Segment(H109, I109) → M109
  258. Segment(F110, G110) → L110
  259. Segment(H110, I110) → M110
  260. Segment(F111, G111) → L111
  261. Segment(H111, I111) → M111
  262. Segment(F112, G112) → L112
  263. Segment(H112, I112) → M112
  264. Segment(F113, G113) → L113
  265. Segment(H113, I113) → M113
  266. Segment(F114, G114) → L114
  267. Segment(H114, I114) → M114
  268. Segment(F115, G115) → L115
  269. Segment(H115, I115) → M115
  270. Segment(F116, G116) → L116
  271. Segment(H116, I116) → M116
  272. Segment(F117, G117) → L117
  273. Segment(H117, I117) → M117
  274. Segment(F118, G118) → L118
  275. Segment(H118, I118) → M118
  276. Segment(F119, G119) → L119
  277. Segment(H119, I119) → M119
  278. Segment(F120, G120) → L120
  279. Segment(H120, I120) → M120
  280. Segment(F121, G121) → L121
  281. Segment(H121, I121) → M121
  282. Segment(F122, G122) → L122
  283. Segment(H122, I122) → M122
  284. Segment(F123, G123) → L123
  285. Segment(H123, I123) → M123
  286. Segment(F124, G124) → L124
  287. Segment(H124, I124) → M124
  288. Segment(F125, G125) → L125
  289. Segment(H125, I125) → M125
  290. Segment(F126, G126) → L126
  291. Segment(H126, I126) → M126
  292. Segment(F127, G127) → L127
  293. Segment(H127, I127) → M127
  294. Segment(F128, G128) → L128
  295. Segment(H128, I128) → M128
  296. Segment(F129, G129) → L129
  297. Segment(H129, I129) → M129
  298. Segment(F130, G130) → L130
  299. Segment(H130, I130) → M130
  300. Segment(F131, G131) → L131
  301. Segment(H131, I131) → M131
  302. Segment(F132, G132) → L132
  303. Segment(H132, I132) → M132
  304. Segment(F133, G133) → L133
  305. Segment(H133, I133) → M133
  306. Segment(F134, G134) → L134
  307. Segment(H134, I134) → M134
  308. Segment(F135, G135) → L135
  309. Segment(H135, I135) → M135
  310. Segment(F136, G136) → L136
  311. Segment(H136, I136) → M136
  312. Segment(B1, C1) → J1
  313. Segment(D1, E1) → K1
  314. Segment(F1, G1) → L1
  315. Segment(H1, I1) → M1
  316. Segment(B22, C22) → J22
  317. Segment(D22, E22) → K22
  318. Segment(D22, D1) → K23
  319. Segment(E22, E1) → K24
  320. Segment(B1, B22) → J23
  321. Segment(C1, C22) → J24
  322. Translate(C1, u) → P1
  323. Translate(B1, u) → O1
  324. Segment(O1, P1) → N1
  325. Translate(B2, u) → O2
  326. Translate(C2, u) → P2
  327. Segment(O2, P2) → N2
  328. Translate(B3, u) → O3
  329. Translate(C3, u) → P3
  330. Segment(O3, P3) → N3
  331. Translate(B4, u) → O4
  332. Translate(C4, u) → P4
  333. Segment(O4, P4) → N4
  334. Translate(B5, u) → O5
  335. Translate(C5, u) → P5
  336. Segment(O5, P5) → N5
  337. Translate(B6, u) → O6
  338. Translate(C6, u) → P6
  339. Segment(O6, P6) → N6
  340. Translate(B7, u) → O7
  341. Translate(C7, u) → P7
  342. Segment(O7, P7) → N7
  343. Translate(B8, u) → O8
  344. Translate(C8, u) → P8
  345. Segment(O8, P8) → N8
  346. Translate(B9, u) → O9
  347. Translate(C9, u) → P9
  348. Segment(O9, P9) → N9
  349. Translate(B10, u) → O10
  350. Translate(C10, u) → P10
  351. Segment(O10, P10) → N10
  352. Translate(B11, u) → O11
  353. Translate(C11, u) → P11
  354. Segment(O11, P11) → N11
  355. Translate(B12, u) → O12
  356. Translate(C12, u) → P12
  357. Segment(O12, P12) → N12
  358. Translate(B13, u) → O13
  359. Translate(C13, u) → P13
  360. Segment(O13, P13) → N13
  361. Translate(B14, u) → O14
  362. Translate(C14, u) → P14
  363. Segment(O14, P14) → N14
  364. Translate(B15, u) → O15
  365. Translate(C15, u) → P15
  366. Segment(O15, P15) → N15
  367. Translate(B16, u) → O16
  368. Translate(C16, u) → P16
  369. Segment(O16, P16) → N16
  370. Translate(B17, u) → O17
  371. Translate(C17, u) → P17
  372. Segment(O17, P17) → N17
  373. Translate(B18, u) → O18
  374. Translate(C18, u) → P18
  375. Segment(O18, P18) → N18
  376. Translate(B19, u) → O19
  377. Translate(C19, u) → P19
  378. Segment(O19, P19) → N19
  379. Translate(B20, u) → O20
  380. Translate(C20, u) → P20
  381. Segment(O20, P20) → N20
  382. Translate(B21, u) → O21
  383. Translate(C21, u) → P21
  384. Segment(O21, P21) → N21
  385. Translate(B22, u) → O22
  386. Translate(C22, u) → P22
  387. Segment(O22, P22) → N22
  388. Segment(O1, O22) → O23
  389. Segment(P1, P22) → P23
  390. Translate(D1, u) → R1
  391. Translate(E1, u) → S1
  392. Segment(R1, S1) → Q1
  393. Translate(D2, u) → R2
  394. Translate(E2, u) → S2
  395. Segment(R2, S2) → Q2
  396. Translate(D3, u) → R3
  397. Translate(E3, u) → S3
  398. Segment(R3, S3) → Q3
  399. Translate(D4, u) → R4
  400. Translate(E4, u) → S4
  401. Segment(R4, S4) → Q4
  402. Translate(D5, u) → R5
  403. Translate(E5, u) → S5
  404. Segment(R5, S5) → Q5
  405. Translate(D6, u) → R6
  406. Translate(E6, u) → S6
  407. Segment(R6, S6) → Q6
  408. Translate(D7, u) → R7
  409. Translate(E7, u) → S7
  410. Segment(R7, S7) → Q7
  411. Translate(D8, u) → R8
  412. Translate(E8, u) → S8
  413. Segment(R8, S8) → Q8
  414. Translate(D9, u) → R9
  415. Translate(E9, u) → S9
  416. Segment(R9, S9) → Q9
  417. Translate(D10, u) → R10
  418. Translate(E10, u) → S10
  419. Segment(R10, S10) → Q10
  420. Translate(D11, u) → R11
  421. Translate(E11, u) → S11
  422. Segment(R11, S11) → Q11
  423. Translate(D12, u) → R12
  424. Translate(E12, u) → S12
  425. Segment(R12, S12) → Q12
  426. Translate(D13, u) → R13
  427. Translate(E13, u) → S13
  428. Segment(R13, S13) → Q13
  429. Translate(D14, u) → R14
  430. Translate(E14, u) → S14
  431. Segment(R14, S14) → Q14
  432. Translate(D15, u) → R15
  433. Translate(E15, u) → S15
  434. Segment(R15, S15) → Q15
  435. Translate(D16, u) → R16
  436. Translate(E16, u) → S16
  437. Segment(R16, S16) → Q16
  438. Translate(D17, u) → R17
  439. Translate(E17, u) → S17
  440. Segment(R17, S17) → Q17
  441. Translate(D18, u) → R18
  442. Translate(E18, u) → S18
  443. Segment(R18, S18) → Q18
  444. Translate(D19, u) → R19
  445. Translate(E19, u) → S19
  446. Segment(R19, S19) → Q19
  447. Translate(E20, u) → S20
  448. Translate(E21, u) → S21
  449. Translate(D22, u) → R22
  450. Translate(E22, u) → S22
  451. Segment(R22, S22) → Q22
  452. Translate(D20, u) → R20
  453. Translate(D21, u) → R21
  454. Segment(R20, S20) → Q20
  455. Segment(R21, S21) → Q21
  456. Segment(R1, R22) → R23
  457. Segment(S1, S22) → S23
  458. Polygon(B1, C1, C22, B22) → B23, C23, D23, E23, F23_1
  459. Polygon(D1, E1, E22, D22) → B24, C24, D24, E24, F24_1
  460. Polygon(O1, O22, P22, P1) → O24, P24, Q24, R24, S24
  461. Polygon(R1, R22, S22, S1) → O25, P25, Q25, R25, S25

AI 绘图提示语参考

画两个分数的公分母，首先画两个分数的分子线段，然后通过平移这些线段找到它们的公共端点，形成新的线段，表示公分母。接着画出这些线段的平行线，形成几何图形，帮助理解分数加法和公分母的概念。
以上提示语为根据原始绘图命令整理而来，仅供参考。