指數函數與對數函數的對稱
Author: 藍邦偉  老師

x

y

指數函數與對數函數的對稱

$y=x $

$底數$

$P$

$P'$

A = Corner(1)
list2 = Sequence(k / 10, k, 11, 19)
list3 = Sequence(k, k, 2, 10, 1)
list1 = Sequence(k / 10, k, 1, 9)
B = Corner(3)
C: (x(A), 0)
D: (x(B), 0)
u = Vector(C, D)
E: (0, y(A))
F: (0, y(B))
v = Vector(E, F)
S = Intersect(s, t)
Q_2: 0.7 * Corner[1] + 0.3 * Corner[2]
Q_3: (x(Q_2), y(Corner[3]))
poly1, i, q_2, q_3, j = Polygon(Corner[1], Q_2, Q_3, Corner[4])
n = 19 (slider from 1 to 27, step 1)
listA = Join({list1, list2, list3})
d = Element(listA, n)
f(x) = d^(x)
text1: "y=" + (LaTeX[d]) + "^x"
text2: "y=log_{" + (LaTeX[d]) + "}x"
g(x) = log(d, x)
b = 0 (slider from -5 to x(Corner[2]), step 0.1)
P: (b, g(b))
P' = Mirror(P, c)
a = Segment(P', P)

Tool: 2D-AXIS (command 工具1)
2D-Axis
Input: A, B, C, D, E, F
Output: u, v

x

y

C: (x(A), 0)
D: (x(B), 0)
u = Vector(C, D)
E: (0, y(A))
v = Vector(E, F)