公倍数的可视化
几何画板及绘图内容加载中,请稍等……
所属专题
Division Concepts
该范例通过图形展示了多个数的倍数、公倍数以及最小公倍数。它涉及数论中的基本概念,通过使用 GeoGebra 的命令如 Textfield、Translate 和 Vector,可以直观地理解这些概念。适合小学高年级至初中学生学习数论和数的运算。
GeoGebra 命令及参数
Textfield(A1) → inputBox1Textfield(A2) → inputBox2Textfield(A3) → inputBox3Translate(xAxis, u) → xAxis'Vector((C1, D1), (C1, F1)) → J1Vector((C2, D2), (C2, F2)) → J2Vector((C2, D2), (C2, F2)) → vVector((C3, D3), (C3, F3)) → J3Vector((C4, D4), (C4, F4)) → J4Vector((C5, D5), (C5, F5)) → J5Vector((C6, D6), (C6, F6)) → J6Vector((C7, D7), (C7, F7)) → J7Vector((C8, D8), (C8, F8)) → J8Vector((C9, D9), (C9, F9)) → J9Vector((C10, D10), (C10, F10)) → J10Vector((C11, D11), (C11, F11)) → J11Vector((C12, D12), (C12, F12)) → J12Vector((C13, D13), (C13, F13)) → J13Vector((C14, D14), (C14, F14)) → J14Vector((C15, D15), (C15, F15)) → J15Vector((C16, D16), (C16, F16)) → J16Vector((C17, D17), (C17, F17)) → J17Vector((C18, D18), (C18, F18)) → J18Vector((C19, D19), (C19, F19)) → J19Vector((C20, D20), (C20, F20)) → J20Vector((C21, D21), (C21, F21)) → J21Vector((C22, D22), (C22, F22)) → J22Vector((C23, D23), (C23, F23)) → J23Vector((C24, D24), (C24, F24)) → J24Vector((C25, D25), (C25, F25)) → J25Vector((C26, D26), (C26, F26)) → J26Vector((C27, D27), (C27, F27)) → J27Vector((C28, D28), (C28, F28)) → J28Vector((C29, D29), (C29, F29)) → J29Vector((C30, D30), (C30, F30)) → J30Vector((C31, D31), (C31, F31)) → J31Vector((C32, D32), (C32, F32)) → J32Vector((C33, D33), (C33, F33)) → J33Vector((C34, D34), (C34, F34)) → J34Vector((C35, D35), (C35, F35)) → J35Vector((C36, D36), (C36, F36)) → J36Vector((C37, D37), (C37, F37)) → J37Vector((C38, D38), (C38, F38)) → J38Vector((C39, D39), (C39, F39)) → J39Vector((C40, D40), (C40, F40)) → J40Vector((C3, D3), (C3, F3)) → wVector((C4, D4), (C4, F4)) → aVector((C5, D5), (C5, F5)) → bVector((G1, H1), (G1, (-0.3))) → K1Vector((G2, H2), (G2, (-0.3))) → K2Vector((G3, H3), (G3, (-0.3))) → K3Vector((G4, H4), (G4, (-0.3))) → K4Vector((G5, H5), (G5, (-0.3))) → K5Vector((G6, H6), (G6, (-0.3))) → K6Vector((G7, H7), (G7, (-0.3))) → K7Vector((G8, H8), (G8, (-0.3))) → K8Vector((G9, H9), (G9, (-0.3))) → K9Vector((G10, H10), (G10, (-0.3))) → K10Vector((G11, H11), (G11, (-0.3))) → K11Vector((G12, H12), (G12, (-0.3))) → K12Vector((G13, H13), (G13, (-0.3))) → K13Vector((G14, H14), (G14, (-0.3))) → K14Vector((G15, H15), (G15, (-0.3))) → K15Vector((G16, H16), (G16, (-0.3))) → K16Vector((G17, H17), (G17, (-0.3))) → K17Vector((G18, H18), (G18, (-0.3))) → K18Vector((G19, H19), (G19, (-0.3))) → K19Vector((G20, H20), (G20, (-0.3))) → K20Vector((G21, H21), (G21, (-0.3))) → K21Vector((G22, H22), (G22, (-0.3))) → K22Vector((G23, H23), (G23, (-0.3))) → K23Vector((G24, H24), (G24, (-0.3))) → K24Vector((G25, H25), (G25, (-0.3))) → K25Vector((G26, H26), (G26, (-0.3))) → K26Vector((G27, H27), (G27, (-0.3))) → K27Vector((G28, H28), (G28, (-0.3))) → K28Vector((G29, H29), (G29, (-0.3))) → K29Vector((G30, H30), (G30, (-0.3))) → K30Vector((G31, H31), (G31, (-0.3))) → K31Vector((G32, H32), (G32, (-0.3))) → K32Vector((G33, H33), (G33, (-0.3))) → K33Vector((G34, H34), (G34, (-0.3))) → K34Vector((G35, H35), (G35, (-0.3))) → K35Vector((G36, H36), (G36, (-0.3))) → K36Vector((G37, H37), (G37, (-0.3))) → K37Vector((G38, H38), (G38, (-0.3))) → K38Vector((G39, H39), (G39, (-0.3))) → K39Vector((G40, H40), (G40, (-0.3))) → K40Vector((C41, D41), (C41, F41)) → J41Vector((G41, H41), (G41, (-0.3))) → K41Vector((C42, D42), (C42, F42)) → J42Vector((G42, H42), (G42, (-0.3))) → K42Vector((C43, D43), (C43, F43)) → J43Vector((G43, H43), (G43, (-0.3))) → K43Vector((C44, D44), (C44, F44)) → J44Vector((G44, H44), (G44, (-0.3))) → K44Vector((C45, D45), (C45, F45)) → J45Vector((G45, H45), (G45, (-0.3))) → K45Vector((C46, D46), (C46, F46)) → J46Vector((G46, H46), (G46, (-0.3))) → K46Vector((C47, D47), (C47, F47)) → J47Vector((G47, H47), (G47, (-0.3))) → K47Vector((C48, D48), (C48, F48)) → J48Vector((G48, H48), (G48, (-0.3))) → K48Vector((C49, D49), (C49, F49)) → J49Vector((G49, H49), (G49, (-0.3))) → K49Vector((C50, D50), (C50, F50)) → J50Vector((G50, H50), (G50, (-0.3))) → K50Vector((C51, D51), (C51, F51)) → J51Vector((G51, H51), (G51, (-0.3))) → K51Vector((C52, D52), (C52, F52)) → J52Vector((G52, H52), (G52, (-0.3))) → K52Vector((C53, D53), (C53, F53)) → J53Vector((G53, H53), (G53, (-0.3))) → K53Vector((C54, D54), (C54, F54)) → J54Vector((G54, H54), (G54, (-0.3))) → K54Vector((C55, D55), (C55, F55)) → J55Vector((G55, H55), (G55, (-0.3))) → K55Vector((C56, D56), (C56, F56)) → J56Vector((G56, H56), (G56, (-0.3))) → K56Vector((C57, D57), (C57, F57)) → J57Vector((G57, H57), (G57, (-0.3))) → K57Vector((C58, D58), (C58, F58)) → J58Vector((G58, H58), (G58, (-0.3))) → K58Vector((C59, D59), (C59, F59)) → J59Vector((G59, H59), (G59, (-0.3))) → K59Vector((C60, D60), (C60, F60)) → J60Vector((G60, H60), (G60, (-0.3))) → K60Vector((C61, D61), (C61, F61)) → J61Vector((G61, H61), (G61, (-0.3))) → K61Vector((C62, D62), (C62, F62)) → J62Vector((G62, H62), (G62, (-0.3))) → K62Vector((C63, D63), (C63, F63)) → J63Vector((G63, H63), (G63, (-0.3))) → K63Vector((C64, D64), (C64, F64)) → J64Vector((G64, H64), (G64, (-0.3))) → K64Vector((C65, D65), (C65, F65)) → J65Vector((G65, H65), (G65, (-0.3))) → K65Vector((C66, D66), (C66, F66)) → J66Vector((G66, H66), (G66, (-0.3))) → K66Vector((C67, D67), (C67, F67)) → J67Vector((G67, H67), (G67, (-0.3))) → K67Vector((C68, D68), (C68, F68)) → J68Vector((G68, H68), (G68, (-0.3))) → K68Vector((C69, D69), (C69, F69)) → J69Vector((G69, H69), (G69, (-0.3))) → K69Vector((C70, D70), (C70, F70)) → J70Vector((G70, H70), (G70, (-0.3))) → K70Vector((C71, D71), (C71, F71)) → J71Vector((G71, H71), (G71, (-0.3))) → K71Vector((C72, D72), (C72, F72)) → J72Vector((G72, H72), (G72, (-0.3))) → K72Vector((C73, D73), (C73, F73)) → J73Vector((G73, H73), (G73, (-0.3))) → K73Vector((C74, D74), (C74, F74)) → J74Vector((G74, H74), (G74, (-0.3))) → K74Vector((C75, D75), (C75, F75)) → J75Vector((G75, H75), (G75, (-0.3))) → K75Vector((C76, D76), (C76, F76)) → J76Vector((G76, H76), (G76, (-0.3))) → K76Vector((C77, D77), (C77, F77)) → J77Vector((G77, H77), (G77, (-0.3))) → K77Vector((C78, D78), (C78, F78)) → J78Vector((G78, H78), (G78, (-0.3))) → K78Vector((C79, D79), (C79, F79)) → J79Vector((G79, H79), (G79, (-0.3))) → K79Vector((C80, D80), (C80, F80)) → J80Vector((G80, H80), (G80, (-0.3))) → K80Vector((C81, D81), (C81, F81)) → J81Vector((G81, H81), (G81, (-0.3))) → K81Vector((C82, D82), (C82, F82)) → J82Vector((G82, H82), (G82, (-0.3))) → K82Vector((C83, D83), (C83, F83)) → J83Vector((G83, H83), (G83, (-0.3))) → K83Vector((C84, D84), (C84, F84)) → J84Vector((G84, H84), (G84, (-0.3))) → K84Vector((C85, D85), (C85, F85)) → J85Vector((G85, H85), (G85, (-0.3))) → K85Vector((C86, D86), (C86, F86)) → J86Vector((G86, H86), (G86, (-0.3))) → K86Vector((C87, D87), (C87, F87)) → J87Vector((G87, H87), (G87, (-0.3))) → K87Vector((C88, D88), (C88, F88)) → J88Vector((G88, H88), (G88, (-0.3))) → K88Vector((C89, D89), (C89, F89)) → J89Vector((G89, H89), (G89, (-0.3))) → K89Vector((C90, D90), (C90, F90)) → J90Vector((G90, H90), (G90, (-0.3))) → K90Vector((C91, D91), (C91, F91)) → J91Vector((G91, H91), (G91, (-0.3))) → K91Vector((C92, D92), (C92, F92)) → J92Vector((G92, H92), (G92, (-0.3))) → K92Vector((C93, D93), (C93, F93)) → J93Vector((G93, H93), (G93, (-0.3))) → K93Vector((C94, D94), (C94, F94)) → J94Vector((G94, H94), (G94, (-0.3))) → K94Vector((C95, D95), (C95, F95)) → J95Vector((G95, H95), (G95, (-0.3))) → K95Vector((C96, D96), (C96, F96)) → J96Vector((G96, H96), (G96, (-0.3))) → K96Vector((C97, D97), (C97, F97)) → J97Vector((G97, H97), (G97, (-0.3))) → K97Vector((C98, D98), (C98, F98)) → J98Vector((G98, H98), (G98, (-0.3))) → K98Vector((C99, D99), (C99, F99)) → J99Vector((G99, H99), (G99, (-0.3))) → K99Vector((C100, D100), (C100, F100)) → J100Vector((G100, H100), (G100, (-0.3))) → K100
AI 绘图提示语参考
画一个坐标平面,显示多个向量,每个向量代表一个数的倍数,并用不同颜色标示它们的起点和终点,以直观展示公倍数和最小公倍数的关系。先画出x轴,然后基于输入的数生成多个向量,向量的长度和方向对应数的倍数,最后用文本框输入这些数。
以上提示语为根据原始绘图命令整理而来,仅供参考。