A

B

C

c

a

b

P_t

P_v

v_b

t_b

Zelené\ útvary\ známe

Náčrtek

a

délky proměnných

poraď

zpět

udělej

vynuluj

Sestroj\ ΔABC,znáš-li:\a,v_b,t_b

Má\ řešení ⇔\left[\left(v_b<a\right)∧\left(v_b≤t_a\right)\right]∨[(v_b=a)∧(t_b>a)]

Počet\ řešení:\
\textbf{∃!}⇔[(v_b=a)∧(t_b>a)]∨\∨[(v_b<a)∧(t_b=v_b)]∨\∨[(v_b<a)∧(t_b=a)]\
\textbf{∃\ 2\ řešení}⇔[(v_b<a)∧(t_b≠a)]

diskuze

X = (-7.530045228180503, 3.5683181666241754)
Y = (-3.4041194923656657, 3.6297662445823087)
Z = (-4.990045228180504, 6.548318166624175)
mnohoúhelník1, n, l, m = Polygon(X, Y, Z)
D = Midpoint(X, Z)
f = OrthogonalLine(Y, m)
F = Intersect(m, f)
g = Segment(Y, F)
h = Segment(Y, D)
α = Angle(Y, F, Z)
p = false
B = (3.0858487238321755, -7.173575530438229)
a = 7.4 (slider from 0 to 12, step 0.1)
C = Point(Circle[B, a])
i = Segment(B, C)
τ = Semicircle(B, C)
v_b = 5.4 (slider from 0 to 12, step 0.1)
k = Circle(B, v_b)
P_v = Intersect(τ, k, 1)
j = Ray(C, P_v)
t_b = 5.7 (slider from 0 to 12, step 0.1)
d = Circle(B, t_b)
P_t', P_t = Intersect(d, j)
k_1 = Segment(P_t', C)
q = Segment(P_t, C)
e = Circle(P_t', k_1)
r = Circle(P_t, q)
A = Intersect(r, j, 2)
E, A' = Intersect(e, j)
mnohoúhelník2, c, a', b = Polygon(A', B, C)
s = Segment(B, P_v)
mnohoúhelník3, c', a_1, b' = Polygon(A, B, C)
o = false
rada = 12 (slider from 0 to 55, step 1)
text3: "Body\ " + (Name[C]) + "," + (Name[P_v]) + "," + (Name[P_t]) + "," + (Name[A]) + "\ leží\ jedné\ přímce.\\⇒nejprve\ vytvoř\ Δ" + (Name[B]) + "" + (Name[C]) + "" + (Name[P_v]) + ""
t = Segment(B, P_t')
t' = Segment(B, P_t)
text5: "Bod\ " + (Name[P_v]) + "\ má\ známou\ zvdálenost\ od\ bodu\ " + (Name[B]) + "\left(nyní\ " + (LaTeX[s]) + "\right) "
text6: "Body\ " + (Name[C]) + "," + (Name[P_v]) + "," + (Name[P_t]) + "," + (Name[A]) + " \ leží\ jedné\ přímce."
text7: "Bod\ " + (Name[P_t]) + "\ má\ od\ bodu\ " + (Name[B]) + "\ známou\ vzdálenost\left(nyní\ " + (LaTeX[t_b]) + " \right) "
text8: "\left|" + (Name[A]) + " " + (Name[P_t]) + " \right|=\left|" + (Name[C]) + "" + (Name[P_t]) + "  \right|\rightarrow \left(podle\ kružítka)"
text4: "∢\left(" + (Name[B]) + "" + (Name[C]) + "" + (Name[P_v]) + "\right)=90°⇒vytvoř\ Thaletovu\ kružnici\ nad\left|  " + (Name[B]) + "" + (Name[C]) + "\right|"
u = false