vault backup: 2022-01-07 08:50:34

This commit is contained in:
Daniel Bulant 2022-01-07 08:50:34 +01:00
parent cd346843c8
commit 358aba6966
4 changed files with 30 additions and 265 deletions

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@ -12,8 +12,8 @@
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@ -0,0 +1,24 @@
# Lomené výrazy
- výraz ve tvaru zlomku
## Podmínky
Nelze dělit všemi čísly => u lomených výrazů musíme stanovit podmínky, aby jmenovatel nebyl roven nule.
$$
\frac{\frac{3x}{x+1}}{\frac{2x+1}{x-3}}
$$
$$
x \neq -1; x \neq 3; x \neq - \frac{1}{2}
$$
## Krácení a rozšiřování lomených výrazů
Lze krátit jen násobení a dělení, ne sčítání a odčítání.
Pro libovolné výrazy $v_1$, $v_2$, $v_3$
$$
\frac{v_1 * v_3}{v_2 * v_3} = \frac{v_1}{v_2}
$$
$$
\xRightarrow{krácení}
$$
$$
\xLeftarrow{rozšiřování}
$$

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@ -1,5 +1,5 @@
# Mnohočlen
Pouze přirozená čísla v exponentech.
$$
(x^3 - 2x + 3) * (x^4 - 3x^2 + 5x) = x^7 - 3x^5 + 5x^4 - 2x^5 + 6x^3 - 10x^2 + 3x^4 - 9x^2 + 15x = x^7 - 5x^5 + 8x^4 + 6x^3 + 19x^2 + 15x
$$

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@ -11,6 +11,7 @@ imagePrefix: 'data/'
- [[mat/Číselné soustavy|Číselné soustavy]]
- [[mat/Druhá odmocnina|Druhá odmocnina]]
- [[mat/Intervaly|Intervaly]]
- [[mat/Lomené výrazy|Lomené výrazy]]
- [[mat/Matematika|Matematika]]
- [[mat/Mnohočlen|Mnohočlen]]
- [[mat/Množiny|Množiny]]