树的生长迭代
几何画板及绘图内容加载中,请稍等……
这个范例演示了树的生长过程,通过迭代的方式展示了树的分枝结构。涉及的核心数学概念包括数列和迭代。通过使用Branche_2, Segment, Branche3, Polygon, Line等GeoGebra命令,可以构造出树的分枝结构。适合初中及以上学生学习几何作图和迭代概念。
GeoGebra 命令及参数
Branche_2(A, B, k, t) → C, D, e, f, E, F, G, H, a, b, c, dSegment(B, A) → gBranche_2(C, E, k, t) → I, J, m, n, K, L, M, N, h, i, j, lBranche_2(C, F, k, t) → O, P, a1, b1, Q, R, S, T, p, q, r, sBranche_2(D, G, k, t) → U, V, g1, h1, W, Z, A1, B1, c1, d1, e1, f1Branche_2(D, H, k, t) → C1, D1, m1, n1, E1, F1, G1, H1, i1, j1, k1, l1Branche3(k, t, P, S) → p1, q1, f2, g2, h2, i2, j2, k2, l2, m2, n2, p2, r1, q2, r2, s2, t2, a3, b3, c3, d3, e3, f3, s1, t1, a2, b2, c2, d2, e2Branche3(k, t, O, R) → g3, h3, r3, s3, t3, a4, b4, c4, d4, e4, f4, g4, i3, h4, i4, j4, k4, l4, m4, n4, p4, q4, r4, j3, k3, l3, m3, n3, p3, q3Branche3(k, t, O, Q) → s4, t4, i5, j5, k5, l5, m5, n5, p5, q5, r5, s5, a5, t5, a6, b6, c6, d6, e6, f6, g6, h6, i6, b5, c5, d5, e5, f5, g5, h5Branche3(k, t, J, N) → j6, k6, a7, b7, c7, d7, e7, f7, g7, h7, i7, j7, l6, k7, l7, m7, n7, p7, q7, r7, s7, t7, a8, m6, n6, p6, q6, r6, s6, t6Branche3(k, t, J, M) → b8, c8, l8, m8, n8, p8, q8, r8, s8, t8, a9, b9, d8, c9, d9, e9, f9, g9, h9, i9, j9, k9, l9, e8, f8, g8, h8, i8, j8, k8Branche3(k, t, I, L) → m9, n9, d10, e10, f10, g10, h10, i10, j10, k10, l10, m10, p9, n10, p10, q10, r10, s10, t10, a11, b11, c11, d11, q9, r9, s9, t9, a10, b10, c10Branche3(k, t, I, K) → e11, f11, p11, q11, r11, s11, t11, a12, b12, c12, d12, e12, g11, f12, g12, h12, i12, j12, k12, l12, m12, n12, p12, h11, i11, j11, k11, l11, m11, n11Branche3(k, t, P, T) → q12, r12, g13, h13, i13, j13, k13, l13, m13, n13, p13, q13, s12, r13, s13, t13, a14, b14, c14, d14, e14, f14, g14, t12, a13, b13, c13, d13, e13, f13Branche3(k, t, U, W) → h14, i14, s14, t14, a15, b15, c15, d15, e15, f15, g15, h15, j14, i15, j15, k15, l15, m15, n15, p15, q15, r15, s15, k14, l14, m14, n14, p14, q14, r14Branche3(k, t, V, A1) → t15, a16, j16, k16, l16, m16, n16, p16, q16, r16, s16, t16, b16, a17, b17, c17, d17, e17, f17, g17, h17, i17, j17, c16, d16, e16, f16, g16, h16, i16Branche3(k, t, V, B1) → k17, l17, b18, c18, d18, e18, f18, g18, h18, i18, j18, k18, m17, l18, m18, n18, p18, q18, r18, s18, t18, a19, b19, n17, p17, q17, r17, s17, t17, a18Branche3(k, t, C1, E1) → c19, d19, m19, n19, p19, q19, r19, s19, t19, a20, b20, c20, e19, d20, e20, f20, g20, h20, i20, j20, k20, l20, m20, f19, g19, h19, i19, j19, k19, l19Branche3(k, t, C1, F1) → n20, p20, e21, f21, g21, h21, i21, j21, k21, l21, m21, n21, q20, p21, q21, r21, s21, t21, a22, b22, c22, d22, e22, r20, s20, t20, a21, b21, c21, d21Branche3(k, t, D1, G1) → f22, g22, q22, r22, s22, t22, a23, b23, c23, d23, e23, f23, h22, g23, h23, i23, j23, k23, l23, m23, n23, p23, q23, i22, j22, k22, l22, m22, n22, p22Branche3(k, t, D1, H1) → r23, s23, h24, i24, j24, k24, l24, m24, n24, p24, q24, r24, t23, s24, t24, a25, b25, c25, d25, e25, f25, g25, h25, a24, b24, c24, d24, e24, f24, g24Branche3(k, t, U, Z) → i25, j25, t25, a26, b26, c26, d26, e26, f26, g26, h26, i26, k25, j26, k26, l26, m26, n26, p26, q26, r26, s26, t26, l25, m25, n25, p25, q25, r25, s25Polygon(E_1, D_1, B_1, C_1) → poly1, e_1, d_1, b_1, c_1Line(A, B_1) → a_1Point(a_1) → F_1Point(a_1) → G_1Polygon(G_1, F_1, 4) → poly2, g_1, f_1, h_1, i_1, H_1, I_1Sequence(((Random[-38, 10] * 0.6) + (0 * o), 32 - (i * o)), i, 0, 13, 0.1) → liste1
AI 绘图提示语参考
画一棵通过迭代生长的树枝状结构,展示分叉形态。从主干开始,向上延伸出两条主枝,每条主枝再分出两条次枝,如此递归分叉。使用不同粗细和颜色的线条表示不同层级的枝条,根部连接一个正方形,枝条末端连接圆形节点。整体呈现向上生长的动态感。
以上提示语为根据原始绘图命令整理而来,仅供参考。