向量属性演示
几何画板及绘图内容加载中,请稍等……
①本范例通过动态演示向量的基本属性,如加减法、数乘和模长;②涉及核心数学概念包括向量运算、线性函数、解析几何;③构造中运用了Vector、Point、If等GeoGebra命令及对象,如l_2、k_1、w_1等向量与点对象,以及条件判断If;④适合高中及以上学生及数学爱好者学习向量性质和几何应用。
GeoGebra 命令及参数
Vector(l_2InitPt, l_2TermPt) → l_2Vector(k_2InitPt, k_2TermPt) → k_2Vector(n_1InitPt, n_1TermPt) → n_1Vector(f_1InitPt, f_1InitPt + (r * n_1)) → f_1Vector(wInitPt, wTermPt) → wVector(w_1InitPt, w_1TermPt) → w_1Vector(k_1InitPt, k_1InitPt + k_2) → k_1Vector(k_1InitPt, k_1InitPt + (r * k_1)) → k_1ScaleMultPoint(k_1InitPt, k_1ScaleMult) → k_1ScaleMultTermPtVector(k_1InitPt + k_2, k_1InitPt + k_2 + l_2) → l_1Vector(l_1InitPt, l_1InitPt + (r * l_1)) → l_1ScaleMultPoint(l_1InitPt, l_1ScaleMult) → l_1ScaleMultTermPtVector(lInitPt, lTermPt) → lVector(uInitPt, uTermPt) → uVector(vInitPt, vTermPt) → vVector(qInitPt, qTermPt) → qVector(mInitPt, mTermPt) → mVector(nInitPt, nTermPt) → nVector(dInitPt, dTermPt) → dVector(fInitPt, fTermPt) → fVector(gInitPt, gTermPt) → gVector(hInitPt, hTermPt) → hIf(b, ¬c) → iIf(b, ¬c) → jVector(lInitPt, lTermPt + (r * l)) → lScaleMultVector(pInitPt, pTermPt) → pVector(u_1InitPt, u_1TermPt) → u_1Vector(v_1InitPt, v_1TermPt) → v_1Vector(a_1InitPt, a_1TermPt) → a_1Vector(b_1InitPt, b_1InitPt + v_1) → b_1Vector(c_1InitPt, c_1InitPt + w_1) → c_1Vector(g_1InitPt, g_1InitPt + (s * n_1)) → g_1Vector(p_1InitPt, p_1InitPt + ((r + s) * n_1)) → p_1Vector(C, C + (r * l)) → vScaleMultVector(k_1InitPt, k_1InitPt + l_1 + k_1) → m_1Vector(m_1InitPt, m_1InitPt + (r * m_1)) → m_1ScaleMultPoint(m_1InitPt, m_1ScaleMult) → m_1ScaleMultTermPtVector(e_1InitPt, e_1TermPt) → e_1Vector(t_1InitPt, t_1TermPt) → t_1Vector(u_2InitPt, u_2TermPt) → u_2Vector(v_2InitPt, v_2TermPt) → v_2Vector(r_1InitPt, r_1TermPt) → r_1Vector(s_1InitPt, s_1TermPt) → s_1Vector(w_2InitPt, w_2TermPt) → w_2Vector(a_2InitPt, a_2TermPt) → a_2Vector(b_2InitPt, b_2TermPt) → b_2Vector(c_2InitPt, c_2TermPt) → c_2Vector(d_2InitPt, d_2TermPt) → d_2Vector(f_2InitPt, F) → f_2Vector(g_2InitPt, D) → g_2Vector(e_2InitPt, e_2InitPt + (s * d_2)) → e_2Vector(h_2InitPt, h_2InitPt + d_2) → h_2Vector(i_2InitPt, i_2TermPt) → i_2Vector(j_2InitPt, j_2TermPt) → j_2Vector(q_1InitPt, q_1InitPt + k_2) → q_1Vector(q_1InitPt, K + l_2) → m_2Vector(b_1InitPt, c_1TermPt) → p_2Vector(q_2InitPt, q_2InitPt + (r * m_2)) → q_2Vector(b_1InitPt, c_1TermPt) → r_2Vector(s_2InitPt, s_2InitPt + w_1) → s_2Vector(t_2InitPt, t_2InitPt + v_1) → t_2Point(s_2InitPt, w_1) → s_2TermPtPoint(t_2InitPt, v_1) → t_2TermPtVector(s_2InitPt, t_2TermPt) → u_3Vector(q_1InitPt + k_2, K + l_2) → n_2Vector(w_3InitPt, w_3InitPt + p) → w_3Point(w_3InitPt, p) → w_3TermPt
AI 绘图提示语参考
画一个动态演示向量性质的图形,展示向量加法、标量乘法和模长的关系。包含多个向量,通过滑块控制大小和方向,并用点标记关键位置。先画出基础向量,然后通过向量运算生成新的向量,并用标量乘法调整长度,最后将所有元素组合展示向量几何性质。
以上提示语为根据原始绘图命令整理而来,仅供参考。