92指考一題橢圓
Author: 藍邦偉  老師

請拉動c看題目與圖形

(A)正方形

(B) 圓形

A_n

Reset

n = 1 (slider from 1 to 10, step 0.1)
G_1: x^(2) / n^(2) + y^(2) = 1
G_2: y^(2) / n^(2) + x^(2) = 1
A = Intersect(G_1, G_2, 2)
B = Intersect(G_1, G_2, 4)
C = Intersect(G_1, G_2, 3)
D = Intersect(G_1, G_2, 1)
P_1 = (1, 1)
P_2 = (-1, 1)
P_3 = (-1, -1)
P_4 = (1, -1)
多邊形1, p_1, p_2, p_3, p_4 = Polygon(P_1, P_2, P_3, P_4)
a = true
b = false
f_1 = Function(sqrt(1 - x^(2) / n^(2)), -sqrt(n^(2) / (1 + n^(2))), sqrt(n^(2) / (n^(2) + 1)))
f = Function(-sqrt(1 - x^(2) / n^(2)), -sqrt(n^(2) / (1 + n^(2))), sqrt(n^(2) / (n^(2) + 1)))
g = Function(sqrt(n^(2) - n^(2) * x^(2)), sqrt(n^(2) / (n^(2) + 1)), 1)
h = Function(-sqrt(n^(2) - n^(2) * x^(2)), sqrt(n^(2) / (n^(2) + 1)), 1)
p = Function(sqrt(n^(2) - n^(2) * x^(2)), -1, -sqrt(n^(2) / (n^(2) + 1)))
q = Function(-sqrt(n^(2) - n^(2) * x^(2)), -1, -sqrt(n^(2) / (n^(2) + 1)))
c_1 = true
c = 0 (slider from 0 to 1, step 1)
T_1: (x(Corner[1]), 0)
T_2: (x(Corner[2]), 0)
T_3: (0, y(Corner[2]))
T_4: (0, y(Corner[4]))
u = Vector(T_1, T_2)
v = Vector(T_3, T_4)
H_1 = Corner(1)
H_4 = Corner(4)
H_2: (5 * Corner[1] + Corner[2]) / 6
H_3: (5 * Corner[4] + Corner[3]) / 6
多邊形2, h_1, h_2, h_3, h_4 = Polygon(H_1, H_2, H_3, H_4)
e = Segment(H_2, H_3)