絕對值不等式(1)
Author: 藍邦偉  老師

$ 絕對值不等式(1) $

$第%v步$

$ Sol： $

a = 1 (slider from -5 to 5, step 1)
b = 2 (slider from 1 to 5, step 1)
A: (a, 0)
a_1: y(Corner[3] - Corner[2])
a_2: a_1 / 20
B: A + (b, 0)
C: A - (b, 0)
D: C + (0, a_2)
E: B + (0, a_2)
Poly1, b_1, c, d, e = Polygon(B, C, D, E)
K_1: (x(Corner[1]), 0)
K_2: (x(Corner[2]), 0)
u = Vector(K_1, K_2)
t_A: "$ A(" + (LaTeX[x(A)]) + ") $"
f = LineBisector(A, C)
g = LineBisector(B, A)
F = (0.7817644335062052, 2.5905677227641073)
h = Line(F, u)
G = Intersect(h, f)
H = Intersect(h, g)
k = CircleArc(G, C, A)
p = CircleArc(H, A, B)
t_3: "$ ⇒" + (LaTeX[a - b]) + "≤x≤" + (LaTeX[a + b]) + " $"
t_2: "$ 上式表示\;x\;到" + (LaTeX[a]) + "\;的距離小於等於\;" + (LaTeX[b]) + " $"
t_{Question}: "$試求不等式\; |x" + (LaTeX[If[a > 0, "-", If[a < 0, "+", ""]]]) + "" + (LaTeX[If[a ≠ 0, abs(a), ""]]) + "| ≤" + (LaTeX[b]) + "\;的解.$"
n = 0 (slider from 0 to If[a < 0, 3, 2], step 1)
t_1: "$ ⇒|x-(" + (LaTeX[a]) + ")| ≤" + (LaTeX[b]) + "$"
R = (-9.578898639829662, 5.227870808697335)