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Daniel Bulant 2023-09-08 12:35:13 +02:00
parent 5b266ef2fd
commit bbc609314f
14 changed files with 7467 additions and 31 deletions
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10
notes/.obsidian/plugins/obsidian-activity-history/data.json vendored
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@ -12,8 +12,8 @@
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@ -1318,7 +1318,11 @@
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{
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"value": 115110
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2
notes/.obsidian/plugins/various-complements/histories.json vendored
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@ -1 +1 @@
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96
notes/.obsidian/workspace.json vendored
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@ -4,28 +4,70 @@
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@ -95,7 +137,7 @@
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@ -255,17 +308,6 @@
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"data/Pasted image 20230613140233.png",
"data/Pasted image 20230613140100.png",
"data/Pasted image 20230613135723.png",

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==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠==
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```
%%

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@ -11,9 +11,14 @@ imagePrefix: 'data/'
%% Zoottelkeeper: Beginning of the autogenerated index file list %%
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- [[data/Konstrukční úlohy 2023-09-08 11.27.10.excalidraw|Konstrukční úlohy 2023-09-08 11.27.10.excalidraw]]
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- [[data/Kótování koule_2022-01-07 12.54.53.excalidraw|Kótování koule_2022-01-07 12.54.53.excalidraw]]
- [[data/Kótování na strojařský výkres_2021-11-26 12.00.18.excalidraw|Kótování na strojařský výkres_2021-11-26 12.00.18.excalidraw]]

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@ -0,0 +1,16 @@
# Ekvigonala
Množina bodů v rovině ze kterých je zadaná úsečka vidět pod zadaným úhlem
Speciální případ pro $90\degree$ je Thaletova kružnice.
$y\in(0\degree;90\degree):$
$\delta=90\degree-\gamma$
Počítá se pouze vrchní oblouk
![[Ekvigonala 2023-09-08 12.19.22.excalidraw]]
$y\in(60\degree;180\degree):$
$\delta=\gamma-90\degree$
Počítá se pouze spodní oblouk
![[Ekvigonala 2023-09-08 12.31.39.excalidraw]]

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# Konstrukční úlohy
Je dána úsečka $BC$, $|BC|=5cm$
Sestrojte všechny $\triangle ABC$, kde $b=6.5cm$, $\beta=60\degree$
![[Konstrukční úlohy 2023-09-08 11.27.10.excalidraw]]
Je dána úsečka $AB$, $|AB|=7cm$. Sestrojte všechny rovnoběžníky $ABCD$, v nichž $|AC|=e=10cm, v_a=4cm$
![[Konstrukční úlohy 2023-09-08 11.36.28.excalidraw]]
Úloha má 2 řešení - $ABCD$ a $ABC'D'$
Je dána $AB$, $|AB|=4cm$
sestrojit všechny $\triangle ABC$, $y=\frac\pi3$
$v_c=3cm$
![[Konstrukční úlohy 2023-09-08 12.09.54.excalidraw]]
použije se [Ekvigonala](Ekvigonala.md)

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@ -224,4 +224,5 @@ $-2 = a(-2)+b$
- [[mat/Rovnice/Soustava kvadratických rovnic|Soustava kvadratických rovnic]]
- [[mat/Rovnice/Soustavy rovnic.excalidraw|Soustavy rovnic.excalidraw]]
- [[mat/Rovnice/Soustavy rovnic|Soustavy rovnic]]
- [[mat/Rovnice/Substituce|Substituce]]
%% Zoottelkeeper: End of the autogenerated index file list %%

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# Substituce
----
## Iracionální rovnice
Pokud je pod odmocninou proměnná
$$\sqrt{2(x^2+3x+6)^2-7}=x^2+3x+7$$
$a=x^2+3x+6$
$$\sqrt{2a^2-7}=a+1$$
$$2a^2-7=a^2+1$$
$$a^2-2a-8=0$$
$$(a+2)(a-4)=0$$
$$a=-2$$
$L=\sqrt{2(-2)^2-7}=1\ne P=-1$
$$a=4$$
$L=\sqrt{2*16-7}=5$
$P=4+1=5$
$x^2+3x+6=4$
$x^2+3x+2=0$
$(x+2)(x-1)=0$
$x=-2$
$x=-1$
$K=\{-2;-1\}$

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@ -11,8 +11,10 @@ imagePrefix: 'data/'
- [[mat/Číselné obory|Číselné obory]]
- [[mat/Číselné soustavy|Číselné soustavy]]
- [[mat/Druhá odmocnina|Druhá odmocnina]]
- [[mat/Ekvigonala|Ekvigonala]]
- [[mat/Funkce/Funkce|Funkce]]
- [[mat/Intervaly|Intervaly]]
- [[mat/Konstrukční úlohy|Konstrukční úlohy]]
- [[mat/Lomené výrazy/Lomené výrazy|Lomené výrazy]]
- [[mat/Lomené výrazy|Lomené výrazy]]
- [[mat/Matematika|Matematika]]