Zadání

Postup

p∥AB ve vzdálenosti v_c

δ' = ∡BAY = γ

→AX⊥AY
o je osa úsečky AB
S∈o∩→AX

p

k(S,|AS|)
C∈k∩p

Narýsujte trojúhelník ABC

Diskuze

1) 

2)

3)

4)

5)

Úloha má ve zvolené polorovině

dvě různá řešení

jedno řešení

C

C

Ve zvolené polorovině úloha nemá řešení

Měňte hodnoty parametrů v a γ

5

v = 3.7 (slider from 0 to 6, step 0.1)
γ = 1.064650843716541 rad (slider from 30*° to 120*°, step 0.017453292519943295)
A = (-1.7, -3.02)
B = (3.3, -2.98)
a = Segment(A, B)
b = OrthogonalLine(A, a)
c = Circle(A, v)
C_1, D = Intersect(c, b)
p_1 = Line(D, a)
o_1 = LineBisector(A, B)
E = Point(o_1)
F = Point(o_1)
o = Segment(E, F)
B' = Rotate(B, -γ, A)
δ' = Angle(B', A, B)
e = Segment(A, B')
f = OrthogonalLine(A, e)
S = Intersect(f, o)
k = Circle(S, A)
C, C' = Intersect(k, p_1)
mnohoúhelník1, b_1, a_1, g_1 = Polygon(A, C, B)
mnohoúhelník2, b_2, a_2, h = Polygon(A, C', B)
δ = Angle(B, A, S)
i = Line(A, B)
j = OrthogonalLine(C', i)
k_1 = OrthogonalLine(C, a)
G = Intersect(i, j)
H = Intersect(i, k_1)
v_2 = Segment(C', G)
v_c = Segment(C, H)
I = Midpoint(C', G)
X = Point(f)
l = Segment(A, X)
text2: "Sestrojte trojúhelník ABC, je-li dáno:
|AB| = " + a + ", v_c = " + v + ", γ = " + γ + ""
α = Angle(A, C, B)
β = Angle(A, C', B)
text3: "" + α + ""
text4: "" + α + ""
text1: "" + v_2 + ""
text5: "" + v_2 + ""
J = Midpoint(H, C)
m = 5 (slider from -1 to 5, step 1)
K = Point(i)
L = Point(i)
n = Segment(K, L)
M = Point(p_1)
N = Point(p_1)
p = Segment(M, N)
Y = Point(e)
d = Line(S, F)
O, P = Intersect(k, d)
Q = Intersect(o_1, n)
g_2 = Segment(P, Q)
mnohoúhelník3, p_2, a_3, b_3 = Polygon(A, B, P)