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b/notes/data/Hyperbola 2024-03-08 12.05.45.excalidraw.svg new file mode 100644 index 0000000..4da4be6 --- /dev/null +++ b/notes/data/Hyperbola 2024-03-08 12.05.45.excalidraw.svg @@ -0,0 +1,17 @@ + + + + + + + + \ No newline at end of file diff --git a/notes/data/Hyperbola 2024-03-14 11.33.16.excalidraw.md b/notes/data/Hyperbola 2024-03-14 11.33.16.excalidraw.md new file mode 100644 index 0000000..32d2908 --- /dev/null +++ b/notes/data/Hyperbola 2024-03-14 11.33.16.excalidraw.md @@ -0,0 +1,57 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +%% +# Drawing +```json +{ + "type": "excalidraw", + "version": 2, + "source": "https://github.com/zsviczian/obsidian-excalidraw-plugin/releases/tag/1.9.27", + "elements": [], + "appState": { + "theme": "dark", + "viewBackgroundColor": "transparent", + "currentItemStrokeColor": "#1e1e1e", + "currentItemBackgroundColor": "transparent", + 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šroubem.bmp]] - [[data/šroub M24.bmp|šroub M24.bmp]] +- [[data/Stereometrie 2023-11-24 12.32.36.excalidraw|Stereometrie 2023-11-24 12.32.36.excalidraw]] - [[data/Struktura povrchu_označení.excalidraw|Struktura povrchu_označení.excalidraw]] - [[data/struktura povrchu.bmp|struktura povrchu.bmp]] - [[data/struktura povrchu.svg|struktura povrchu.svg]] @@ -421,5 +477,9 @@ imagePrefix: 'data/' - [[data/Úhel 2023-05-09 14.22.06.excalidraw|Úhel 2023-05-09 14.22.06.excalidraw]] - [[data/Uplny odraz svetla 2023-09-21 12.52.08.excalidraw|Uplny odraz svetla 2023-09-21 12.52.08.excalidraw]] - [[data/Uplny odraz svetla 2023-09-21 12.58.19.excalidraw|Uplny odraz svetla 2023-09-21 12.58.19.excalidraw]] +- [[data/Vektor 2023-12-15 11.10.30.excalidraw|Vektor 2023-12-15 11.10.30.excalidraw]] +- [[data/Vektor 2023-12-15 12.16.27.excalidraw|Vektor 2023-12-15 12.16.27.excalidraw]] +- [[data/Vektorový součin 2024-01-05 12.05.56.excalidraw|Vektorový součin 2024-01-05 12.05.56.excalidraw]] +- [[data/Vektorový součin 2024-01-05 12.19.14.excalidraw|Vektorový součin 2024-01-05 12.19.14.excalidraw]] - [[data/Změny skupenství 2023-04-11 11.58.21.excalidraw|Změny skupenství 2023-04-11 11.58.21.excalidraw]] %% Zoottelkeeper: End of the autogenerated index file list %% diff --git a/notes/eko/Marek.md b/notes/eko/Marek.md new file mode 100644 index 0000000..dac6039 --- /dev/null +++ b/notes/eko/Marek.md @@ -0,0 +1,562 @@ +# Ekonomika + +> 7\.9. (1. hodina) Úvodní hodina + +**Ekonomie** (Vědní obor - Společenskovědní obor zabývající se hospodářským chováním člověka - nakládání se zdroji / prostředky a jejich používání) + +x **Ekonomika** (Hospodářství || Hospodaření, cíl - Obyvatelstvo - uspokojení potřeb, Stát - Fuknce (zákl.), Podniky - zisk) + +Kapitalismus = tržní hospodářství + +> 14\.9. (2. hodina) Lidské potřeby + +#### Lidské potřeby + +* stav nerovnováhy / nedostatku v organismus, který se snažíme uspokojit / odstranit +* Druhy: + 1. primární (ohrožení života) x sekundární + * kvalitnější uspokojování potřeb primárních + * pro děti je sociální kontakt primární lidskou potřebou + * primární: přijímání, vylučování, pohyb + * sekundární: zábava / využití volného času + 2. fyzické x psychické (stránky člověk) + 3. individuální **x** kolektivní (společnost) + +DÚ: 5 příkladů lidských potřeb + +* Návštěva lezeckého centra (sekundární, psychické *(fyzické)*, individuální) +* Příjem jídla (primární, fyzické, individuální) +* Komunikace se spolužáky (sekundární, psychické, kolektivní) +* Spánek / odpočinek (primární, fyzické, individuální) +* přidání příspěvku na sociální síť (sekundární, psychické, kolektivní) + +> 21\.9. (3. hodina) Statky a služby + +#### Statky a služby + +* lidské potřeby jsou uspokojovány statky a službami + +##### Statky + +* Předměty +* Druhy: + 1. volné x ekonomické + * volné: všem dostupné + 2. hmotné x nehmotné + * nehmotné: vědomosti, matematický vzorec, hudba... + 3. spotřeba x použití + * spotřeba: energie, potraviny + * použití: lavice, počítač + +##### Služby + +* Činnosti jiných osob +* Druhy: + 1. osobní x věcné + * osobní: návštěva lékaře, atd. + * věcné: oprava auta, atd. + 2. průběh x výsledek + * průběh: koncert + * výsledek: návštěva lékaře + +DÚ: 5 x statky, 5x služby + +statky: + +* boty (ekonomické, hmotné, použití) +* počítač (ekonomické, hmotné, použití) +* hudba (volné, nehmotné, použiti) +* sluchátka (ekonomické, hmotné, použití) +* maliny (volné, hmotné, spotřeba) + +služby: + +* dodávka elektřiny (věcná, výsledek) +* muzeum (osobní, průběh) +* šití (švadlena) (věcné, výsledek) +* programátor (věcné, výsledek) +* MHD (osobní, výsledek) + +> 5\.10. (4.hodina) Životní úroveň + +#### Životní úroveň + +* komplexní ukazatel + * kvantita uspokojení životních potřeb + * kvalita uspokojení životních potřeb +* porovnávání (mezinárodní, regionální) +* znaky + * příjem & majetek + * bezpečnost + * vzdělání + * veřejné statky a služby (i bezpečnost, vzdělání) + * zdravotní stav a zdravotní pěče + +> 12\.10. (5.hodina) p.p. + +> 1. 11\. (6. hodina) Oprava p.p, pracovní proces + +#### Pracovní proces + +* Práce !== zaměstnání +* Práce = cílevědomá lidská činnost +* Pracovní proces = soubor činností +* Činitelé + * pracovní síla (ztotožnené - člověk - jde o zjednodušení) - soubor znalostí, dovedností, zkušeností které používáme při práci + * PJS (Prostředky Jednorázové Spotřeby) - přetváří se, mění fyzickou podstatu, obvykle se stávají finálním produktem - materiály, energie + * PPS (Prostředky Postupné Spotřeby) - Nestávají se konečným produktem, nemění fyzickou podstatu, nestávají se finálním produktem, opotřebovávají se. (nástroje, nářadí, přístroje, stroje, budovy, atd.) + * surovina = dosud nezpracovaný přírodní zdroj + + materiál = zpracován + +> DŮ: 16. 11. 20 příkladů pracovního procesu \[ukol\](./UKOL-3.md) + +> 1. 11\. (7. hodina) Dělba práce + +#### Dělba práce + +* rozdělování práce na + * obory + * úseky + * činnosti +* vývoj + * drive: muz x zena, sběr x lov, pěstitelství, chov, řemeslo (výroba), nemateriální činnosti (léčitelství, náboženství, věda, výchova, vzdělání, umění, obrana), obchod + * dnes: specializace(+kvalita, produktivita, efektivita, -neschopnost v ostatních oborech), kooperace + * závěr: vysoce rozdělená dělba práce. Obvykle přináší vysokou ekonomikou úroveň + +#### Hospodářský proces + +* celospolečenský + +a) vztahy v HP + +STÁT <- OBYVATELSTVO - 1, 4 + +STÁT -> OBYVATELSTVO - 2, 3 + +STÁT <- PODNIKY - 5, 8 + +STÁT -> PODNIKY - 6, 7 + +OBYVATELE <- PODNIKY - 9, 12 + +OBYVATELE -> PODNIKY - 10, 11 + + 1. Placení daní + 2. Veřejné statky a služby (vzdělání, zdravotnictví, doprava, sociální dávky) + 3. Nabízí pracovní místa ve státních institucích a finanční odměnu za odvedenou práci (učitel, ozbrojené složky) + 4. Obyvatelstvo státu nabízí svou pracovní sílu + 5. Placení daní + 6. veřejné statky a služby (dotace, hasiči, policie, oprava silnice, veř. osvětlení, hygiena) + 7. Stát platí podnikům za statky a služby + 8. Podniky poskytují statky a služby (židle ve škole, voda) + 9. nabizi statky a sluzby +10. plati za statky a sluzby +11. nabizi pracovni silu +12. plati za praci + +> 23\.11. (8. hodina) Hospodářský proces +> +> 30\.11. (9. hodina) Pís opakování, HP - koloběh + +#### Hospodářský proces - koloběh (celospolečenský) + +výroba -> rozdělování -> směna -> spotřeba -> výroba + +###### výroba + +* zhotovování statků a poskytování služeb pro cizí spotřebu + +###### rozdělování (distribuce) + +* přiblížení statků a služeb zákazníkovi +* rozdělování zdrojů (na úrovni státu) + +###### směna + +* nákup a prodej statků a služeb +* (opět může být na úrovni státu atd.) + +###### spotřeba + +* využití statků a služeb +* konečná spotřeba - uspokojení potřeb - slouží k obnově koloběhu (pečení pro rodinu) +* výrobní - koloběh se opakuje (pečení pro výdělek) + +#### Reprodukce + +> Dú co by reprodukce mohla znamenat + +> 14\.12. (10. hodina) Reprodukce, výrobní faktory + +* Opakovíní (cyklení) hospodářského procesu +* Jednotlové druhy reprodukce se mohou prolínat +* Hodnotí se jako celek, v celospolečenském měřítku (ČŘ), jednotlivé sektory na tom mohou být jinak + +##### Prostá + +* Reprodukce probíhá (hosp. proces se opakuje) stále ve stejném rozsahu (nezvyšuje se ani nesnižuje) +* tradiční hospodářství +* Typická pro technologicky nevyspělé společnosti + +##### Rozšířená + +* Zvyšující se rozsah reprodukce +* Typická pro technologicky vyspělé země + +##### Zúžená + +* Hospodářský proces se opakuje ve stále zužujícím (zmenšujícím) rozsahu +* Hospodářská/Finanční krize je jedna ze základních příčin +* Válka - lidé umírají, fyzické škody +* Pandemie, ekonomické katastrofy +* Aktuálně se v ní nacházíme + +#### Výrobní faktory + +* přírodní podmínky + * podnebí, zeměpisná plocha + * nerostné suroviny + * vodní zdroje + * úrodná půda +* obyvatelstvo + * vzdělání + * kultura + * demografické složení + * věk, pohlaví, zda pracují + * s tím souvisí ekonomická kvalita +* Kapitál + * veškeré majetky státu a občanů + * veškeré doposud lidmi vytvořené zdroje +* Ekonomická a životní úroveň země je předurčena kvalitou a kvantitou těchto faktorů + +> 21\.12. (11. hodina) Tržní hospodářství a Centrálně Plánované Hospodářství + +| Tržní Hospodářství | Centrálně Plánované Hospodářství | +|--------------------|----------------------------------| +| možné soukromé vlastnictví podniků | podniky ve státním vlastnictví | +| právní samostatnost (z zákl. charakteristiky) - volba oboru podnikání, obchodních partnerů, zaměstnanců | právní nesamostatnost (z zákl. charakteristiky) - volba oboru, obchodních partnerů státem. stát zasahuje do zaměstnanců (kdo kde smí pracovat) | +| ekonomická samostatnost - volba platu pro zaměstnance, cenu produktu, použití zisku | ekonomická nesamostatnost - volba ceny produktu, platu, použití nadhodnoty státem - přerozdělování | + +> 4\.1.2023 (13. hodina) CPH + TH + +> 11\.1. test + +| Tržní Hospodářství | Centrálně Plánované Hospodářství | +|--------------------|----------------------------------| +| volný zahraniční obchod | státní monopol zahraničního obchodu | +| volná směnitelnost měny (export, turisticky ruch, úvěry státu) | neexistuje volná směna (omezený turistický ruch) | +| volné zaměstnávání pracovních sil soukromou osobou | neexistovalo volné zaměstvnávání pracovních sil soukromou osobou (vykořisťování) | + +Podniky zahraničního Obchodu - PZO - zprostředkovávaly obchod do zahraničí + +Rada vzájemné hospodářské pomoi - RVHP + +> 11\.1.2023 (14. hodina) Test + Trh + +#### Trh + +* kde se střetává nabídka a poptávka + +##### Nabídka + +* množství statků a služeb, které jsou **prodávající** ochotni za danou **cenu**, v daném **čase** a **místě** nabízet + +##### Poptávka + +* množství statků a služeb, které jsou **kupující** ochotni za danou **cenu**, v daném **čase** a **místě** kupovat + +**ve volné soutěži:** + +* Nabídka > Poptávka -> cena klesá +* Nabídka < Poptávka -> cena stoupá +* Nabídka \~ Poptávka -> cena je stálá + +**Volná soutěž** je spíš teoretická, resp. platí u malých podnikatelů + +V současnosti je trh velmi regulován státem a EU + +##### Rozvážná cena + +obrazek chybi :( + +##### Poptávková pružnost + +* Cena u jednotlivých druhů statků a služeb závisí na tom, jak nezbytné pro spotřebitele jsou + +> 18\.1.2023 (15. hodina) Podnikání v Tržním Hospodářství + +#### Podnikání v Tržním Hospodářství + +* Samostatná činnost na vlastní účet, vlastní riziko a vlastní odpovědnost +* podnik je **zisková organizace** +* v zoučastnosti jsou zásadní zásahy státu / nadnárodních organizací + +##### Druhy podniků + +1. **vlastnictví** + * soukromé + * fyzické osoby + * právnické osoby + * státní (Pošta) + * \[ obecní \] + * kombinované + * různé možnosti kombinací + * družstva +2. **velikost** + * majetku + * zisku + * pracovní síly (pomoc velkým podnikům, které krachují - velká nezaměstnanost) + * rozloha + * pobočky +3. **sektor** - obor, oblast + * primární - získávání zdrojů z přírody + * těžba nerostů + * zelená elektřina + * zemědělství + * sekundární + * zpracovatelský průmysl + * ČR je jedna z nejprůmyslovějších zemí světa - velká část HDP je sekundární průmysl (Škodovka) + * terciární + * obchod, služby, doprava (MHD, restaurace atd.) + * kvartální + * IT služby + * bankovní služby + * IT podpora, programování (google...) + +##### Závěr + +* Podíl mezi jednotlivými sektory ovlivňuje obvykle zásadně úroveň rozvoje ekonomiky (vyjimkou jsou chudé státy bohaté na nerostných surovinách - rozvinutý primární sektor) + +> 8\.2.2023 (17. hodina) Podnikání fyzických osob + +### Podnikání + +#### Podnikání fyzických osob + +* OSVČ - osoba samostatně výdělečně činná X (závislá činnost - zaměstnání +* živnostník + * podmínky + * právní způsobilost - plnoletost, svéprávnost + * bezdlužnost - vůči státu (daně, sociální pojištění) + * čistý trestní rejstřík + * občanství ČR nebo povolení k trvalému pobytu + +##### Druhy živností + +* ohlašovací + * nárokové - stačí splňovat podmínky + * druhy: volné, řemeslné, vázané + * volné: + * stačí splnění základních podmínek + * nákup a prodej + * řemeslné + * je potřeba kvalifikace (vyučení, praxe) + základní podmínky + * instalatér + * vázané + * vyšší kvalifikační požadavek (střední/vysoká škola) + základní podmínky + * optika, lékárna, účetní +* koncesované + * nenárokové, ikdyž splňujeme podmínky + * stát chce chránit obyvatele, nechce aby trh byl moc saturován + * prodej zbraní, pohřební služba atd. + +> 1. hodina Ostatní živnostníci + +#### Ostatní živnostníci + +* činnosti s malou kvalifikační předpovědí + * nejsou žádné podmínky + * pronájmy, zemědělské podnikání +* vysoká kvalifikace + * advokáti + * soukromí lékaři + * geodeti + * soudní znalci + +> 1. hodina Povinnosti OSVČ + +#### Povinnosti OSVČ + +#### Povinnosti vůči zákazníkovi + +* **občanský zákoník** +* **živnostenský zákon** +* bezpečnost +* hygiena +* označení prodejny (ičo, zodpovědná osoba, otevírací doba) +* reklamace +* záruka +* vrácení zboží +* ceny (na vyžádání) +* slevy (prokazatelné) +* platební doklad +* Česká Obchodní Inspekce (na udání zákazníkem) +* český návod +* česká atestace produktu + +#### Povinnosti vůči státu + +* **zákon o účetnictví** +* **daňové zákony** +* evidence +* kontrola + * policie + * finanční úřad + * Česká obchodní inspekce + * higiena + * statni inspektorat prace +* revize (podnikatel zařizuje sám, všechny el zařízení, bezpečnostní zařízení atd. +* daně, sociální a zdravotní pojištění + +#### Povinnosti vůči zaměstnatnci + +* **zák. práce** +* mzdy +* sociální a zdravotní pojištění +* daně +* DDP - doklad o důchodovém pojišpojištění +* BOZP - nárok na bezpečnostní pomůcky +* nárok na pracovní pomůcky +* hygiena + sociální zázemí +* SIP - státní inspektorát práce +* evidence1 + +> 22\.3.2023 (22. hodina) Oprava písemné práce + +> 5\.4. TEST Povinnosti OSVČ + +### Podnikatelský záměr + +* vize, představa o tom, jak se bude provozovat podnikání +* pro banku při žádosti o úvěr + +1. volba oboru + * podle situace na trhu + * roli hraje zaměření OSVČ, profesní zájem, rodinná tradice +2. průzkum trhu + * roli hraje + * konkurence + * koupěschopná poptávka +3. plán realizace + * způsob financování (finanční zázemí, úvěr) + * prostory vlastní/pronájem + * jak bude probíhat prodej zboží + * pracovní síla sám/zaměstnanci + * externí spolupráce účetnictví, daně, marketing + * horizont 5 letého rozvoje, představy, splacení úvěru +4. zakladatelský rozpočet + * kalkulace nákladů + * náklady vše co podnik vynaloží za svou činnost + * náklady + zisk = cena + * základní rozpočet + * mzdy zaměstnanců + * cena a spotřeba vody, plynu, energií + * nastavení cenové hladiny, ceny zboží + * nákupy materiálů, surovin + * pojištění + * doprava + * administrativní služby + * marketing a reklama +5. posouzení reálnosti + * jestli rospočet odpovídá situaci na trhu + * konfrontace s okolím a konkurencí +6. založení podniku + * fyzická / právnická osoba + +### Podnikání právnických osob + +* zapsané v obchodním rejstříku, za účelem zisku, jde o X typ +* založení = před vznikem +* vznik = zapsání do rejstříku +* společnost musí vzniknout než se podepíše jakákoliv smlouva + +#### Osobní typ + +* nepovinný vklad +* ručení je osobním majetkem společníků +* obvykle se společníci podílí na chodu + +#### V. O. S. (veřejná obchodní společnost) + +* alespoň dva společníci +* ručí celým osobním majetkem +* uzavírají společenskou smlouvu +* moc se nezakládají - rodinné firmy + +#### K. S. (komanditní společnost) + +* dva společníci (**komplementář** a **komandista**) +* komplementář: + * ručí celým svým majektem + * nepovinný vklad + * vede společnost +* komandista: + * vklad - min 5000kč + * ručí pouze vkladem + * společnost nevede +* uzavírají společenskou smlouvu +* v Čechách jich je málo, nemají tradici + +### Kapitálový typ + +#### S.R.O + +* 1-50 společníků +* ručení do výše vkladu +* Vklad od 1,- Kč, za každého člena +* Valná hromada \[1 zakladatelská listina\] + * musí být minimálně jednou ročně (mohou být mimořádné atd.) + * vydávají **stanovy,** solečenskou smlouvu + * jmenuje, odvolává **jednatele** (mandátní smlouva - pověření atd.) + * jmenuje, odvolává **dozorčí radu** (nepovinná, kontroluje jednatele pro valnou hromadu, znalci) + * rozdělení zisku (investice, rezervy...) + * velké organizační změny + * likvidace + +### A.S. + +* 1 zakladatel - fyzická/právnická osoba +* *karuselové obchody* +* Akcie - cenný papír - podíl na majetku + * nominální a reálná hodnota +* Dividenda (-a) (podíl zisku připadající na jednu akcii) +* ručení akciemi +* **2 - 20 milionů Kč** vklad (2 minimálně, 20 pro vstup na burzu, horní hranici nemá) +* Valná hromada + * Stejně jako u S.R.O, minimálně jednou ročně (mimořádné) + * také vydávají **stanovy** + * jmenuje, odvolává **představenstvo** (minimálně 3 lidi) (paralela jednatele) + * jmenuje, odvolává **dozorčí radu** (povinná, kontroluje představenstvo pro valnou hromadu, znalci) + * rozdělení zisku (investice, rezervy) + * vstup na burzu není automatický (schvaluje burza i valná hromada) + * + +#### Zánik podnikání (likvidace) + +* vypořádání závazků a pohledávek + * závazek = odběratel vůči dodavateli, kterému ještě nezaplatil + * pohledávka = dodavatel za odběratelem, odběratel dodal, a dodavatel doufá, že peníze někdy dostane - očekává úhradu +* změna právní formy (ičo, vznik nové firmy...) +* prodej společnosti +* rozdělení / sloučení +* ukončení + +> 31\.5. 2023 (29. hodina) oprava písemné práce, Družstva + +#### Družstva + +* nejde o obchodní společnosti (jiný typ právnické osoby X obchodní společnosti) - podnikatelské subjekty +* není vklad, spojení financí pro jeden účel - koupě bytu, koupě mlátičky na obylí - možnost využívat i pronajímat +* pol. 19. století - první myšlenka +* hlavně spotřební předměty +* dnes: + * zemědělská družstva + * bytová družstva + * podíl na družstvu + * výroba - "mikropodnikání + * +* cílem nemusí být zisk - účelem může být uspokojení bytových potřeb členů družstva +* prokura, prokurista } v obchodním rejstříku + * prokurista (není majitel) má zvláštní plnou moc + * prokura = moc zacházet s penězi \ No newline at end of file diff --git a/notes/eko/Podnikání fyz.md b/notes/eko/Podnikání fyz.md deleted file mode 100644 index e69de29..0000000 diff --git a/notes/eko/Podnikání fyzy.md b/notes/eko/Podnikání fyzy.md deleted file mode 100644 index 07e437d..0000000 --- a/notes/eko/Podnikání fyzy.md +++ /dev/null @@ -1,9 +0,0 @@ ---- -date: 15.2. ---- - -## OSVČ -Podnikajicí fyzická osoba je osoba samostatně výdělečně činná. - -### Živnost -Podníkání na vlastní jméno, účet a riziko. diff --git a/notes/eko/Podnikání.md b/notes/eko/Podnikání.md new file mode 100644 index 0000000..f8d56aa --- /dev/null +++ b/notes/eko/Podnikání.md @@ -0,0 +1,25 @@ +--- +date: 15.2. +--- + +## OSVČ +Podnikajicí fyzická osoba je osoba samostatně výdělečně činná. + +### Živnost +Podníkání na vlastní jméno, účet a riziko. + +### Povinnosti OSVČ + +| Zakaznici | Stat | Zamestnanci | +| --- | --- | -- | +| - obacnsky zakonik | - pojisteni, dane |s | +| - zivnostensky zakon | - danove zakony | | +| - oznaceni provozovny | - zakon o ucetnictvi | | +| - ceny | - evidence | | +| - bezpecnost | - revize | | +| - hygiena | - ceska obchodni inspekce| | +| - zaruka a reklamace | - czpi | | +| - navod | - zivnostensky urad | | +| - atest | - financni urad | | +| - doklad o prodeji | | | + diff --git a/notes/fyz/elektrika/elektrika.md b/notes/fyz/elektrika/elektrika.md index 8e7f0cf..d777f30 100644 --- a/notes/fyz/elektrika/elektrika.md +++ b/notes/fyz/elektrika/elektrika.md @@ -1,5 +1,6 @@ # elektrika %% Zoottelkeeper: Beginning of the autogenerated index file list %% +- [[fyz/elektrika/mag sila|mag sila]] - [[fyz/elektrika/Priklady|Priklady]] %% Zoottelkeeper: End of the autogenerated index file list %% diff --git a/notes/fyz/elektrika/mag sila.md b/notes/fyz/elektrika/mag sila.md new file mode 100644 index 0000000..67c482b --- /dev/null +++ b/notes/fyz/elektrika/mag sila.md @@ -0,0 +1,88 @@ +# mag sila + +Vodič délky $8cm$ je umístěn kolmo k indukčním čarám magnetického pole o magnetické indukci $0.12T$. Určete velikost síly působící na vodič, jestliže jím prochází proud $5A$. + +$F_m=BIl$ +$B$ charakterizuje silové působení magnetického pole na vodič s proudem +Velikost magnetické síly závisí na úhlu $\alpha$ mezi vodičem a indukčními čarami podle vztahu +$F_m=BIl\sin\alpha$ + +$B=0.12T$ +$I=5A$ +$l=8cm=8*10^{-2}m$ +$\alpha=90\degree$ +$F_m=48mN$ + +$F_m = \frac{\mu}{2\pi}\frac{I_1I_2}dl$ + +---- + +Dva rovnoběžné vodiče délky $50m$ ve vzájemné vzdálenosti 5cm se navzájem přitahují silou $18N$. Určete velikost proudu ve vodičích a jeho směr. + +$l=50m$ +$d=5cm=0.05m$ +$F_m=18N$ +$\mu_0=1.26*10^{-6}$ + +$I^2 = \frac{F_md}{l\frac\mu{2\pi}}=\frac{F_md}l\frac{2\pi}\mu$ +$I^2=\frac{18*0.05}{50*\frac{1.26*10^{-6}}{2\pi}}$ + +--- + +$l=20cm$ +$F_m=15*10^{-3}T*10A*0.2m*1$ + +--- + +$l=20cm=0.2m$ +$F=1.2N$ +$B=2T$ +$I=?$ +$\alpha=90\degree$ +$\sin\alpha=1$ + +$F_m=BI l \sin\alpha$ +$I=\frac{F_m}{Bl}$ +$I=3A$ + +--- + +$I=20A$ +$F=1.8N$ +$l=15cm$ +$\alpha=90\degree$ +$\sin\alpha=1$ + +$F_m=BIl\sin\alpha$ +$B=\frac{F}{Il}=0.6T$ + +--- + +$I=3A$ +$B=20mT$ +$l=20cm$ +$\alpha=45\degree$ + +$F=8.5*10^{-3}N$ + + +--- + +$l=50cm$ +$I=2A$ +$B=0.1T$ +$F=0.05N$ + +$F=BIl\sin\alpha$ +$\sin\alpha=\frac{F}{BIl}$ +$\alpha=\sin^{-1}\frac{F}{BIl}$ +$\alpha=sin^{-1}0.5$ + +--- + +$I=300A$ +$d=5cm$ +$l=50m$ + +$F_m=\frac{\mu}{2\pi}\frac{I^2}dl$ +$F=18.05N$ diff --git a/notes/mat/Geometrie/Analytická/Analytická.md b/notes/mat/Geometrie/Analytická/Analytická.md index 47fecb0..1134a10 100644 --- a/notes/mat/Geometrie/Analytická/Analytická.md +++ b/notes/mat/Geometrie/Analytická/Analytická.md @@ -2,6 +2,7 @@ %% Zoottelkeeper: Beginning of the autogenerated index file list %% - [[mat/Geometrie/Analytická/2 kružnice|2 kružnice]] - [[mat/Geometrie/Analytická/Elipsa|Elipsa]] +- [[mat/Geometrie/Analytická/Hyperbola|Hyperbola]] - [[mat/Geometrie/Analytická/Jednotkový vektor|Jednotkový vektor]] - [[mat/Geometrie/Analytická/kružnice a přímka|kružnice a přímka]] - [[mat/Geometrie/Analytická/Kružnice|Kružnice]] @@ -9,6 +10,7 @@ - [[mat/Geometrie/Analytická/Nulový vektor|Nulový vektor]] - [[mat/Geometrie/Analytická/Odchylka vektorů|Odchylka vektorů]] - [[mat/Geometrie/Analytická/Orientovaná úsečka|Orientovaná úsečka]] +- [[mat/Geometrie/Analytická/Parabola|Parabola]] - [[mat/Geometrie/Analytická/Parametricke vyjadreni primky|Parametricke vyjadreni primky]] - [[mat/Geometrie/Analytická/Posunutí o vektor|Posunutí o vektor]] - [[mat/Geometrie/Analytická/Příklady|Příklady]] diff --git a/notes/mat/Geometrie/Analytická/Elipsa.md b/notes/mat/Geometrie/Analytická/Elipsa.md index dd5c3a1..8a19dc7 100644 --- a/notes/mat/Geometrie/Analytická/Elipsa.md +++ b/notes/mat/Geometrie/Analytická/Elipsa.md @@ -26,3 +26,27 @@ $d=10cm$ ![[Pasted image 20240301122558.png]] osa EF je hlavni osa, osa paralelni je vedlejsi osa + +--- + +a b alpha +$a [!SENTENCE] +> Def: mějme body E a F a vzdálenost d. +> Množinu bodů X, pro které platí +> $||EX|-|XF||=d$ se nazývá hyperbola. + +![[Hyperbola 2024-03-08 12.05.45.excalidraw]] + +$o_1$..hlavni osa +$o_2$…vedlejsi osa +$A,B$ hlavni vrcholy +$C,D$ vedlejsi vrcholy +$a$ delka hlavni poloosy $|SA|=|SB|$ +$b$ delka vedlejsi poloosy $|SC|=|SD|$ +$e$ excentricita/vystrednost $|SE|=|SF|$ +$e^2=a^2+b^2$ +$e>b\cap e>a$ ale a a b nevime + +$m_1,m_2$ asymptoty + +$\frac{(x-x_s)^2}{a^2}-\frac{(y-y_s)^2}{b^2}=1$ + +--- + +stredova + obecna rce hyperboly; +$b,e,S,A,B,C,D,o_1,o_2$; +nacrtek + +$E=[-2;2]$ +$F=[8;2]$ +$a=4$ +![[Hyperbola 2024-03-14 11.33.16.excalidraw]] + diff --git a/notes/mat/Geometrie/Analytická/Kuželosečky.md b/notes/mat/Geometrie/Analytická/Kuželosečky.md index 5b6900b..5424d97 100644 --- a/notes/mat/Geometrie/Analytická/Kuželosečky.md +++ b/notes/mat/Geometrie/Analytická/Kuželosečky.md @@ -19,7 +19,7 @@ oběžná dráha planet kolem slunce ![[Kužolosečky 2024-02-15 10.22.52.excalidraw]] graf kvadr. funkce trajektorie vrženého tělesa -rovnobezne s “hranou” +rovnobezne s “hranou” (povrchovou přímkou) 4. hyperbola ![[Kužolosečky 2024-02-15 10.25.10.excalidraw]] diff --git a/notes/mat/Geometrie/Analytická/Parabola.md b/notes/mat/Geometrie/Analytická/Parabola.md new file mode 100644 index 0000000..f4612c2 --- /dev/null +++ b/notes/mat/Geometrie/Analytická/Parabola.md @@ -0,0 +1,36 @@ +# Parabola + +Řez kuželové plochy rovinou, která je $\parallel$ s povrchovou přímkou k.p. + +> [!SENTENCE] +> mějme daný bod $F$ a přímku $d$. Parabola je množina všech bodů X, které mají stejnou vzdálenost od bodu $F$ i od přímky $d$. +> $\forall X\in m: |XF|=|Xd|$ + +![[Parabola 2024-03-21 11.18.48.excalidraw]] + + +$y-y_v=2p(x-x_v)^2$ + +$y-y_v=-2p(x-x_v)^2$ + +$x-x_v=2p(y-y_v)^2$ + +$x-x_v=-2p(y-y_v)^2$ + + +--- + +$F=[1;2]$ +$d:x=-2$ + +$V=[-0.5;2]$ +$o:y=2$ +$p=|Fx|=3$ +![[Parabola 2024-03-21 11.58.33.excalidraw]] + +$m:(x-(-0.5))=2*3(y-2)^2$ +$m:x+0.5=6(y-2)^2$ +$x+0.5-6(y-2)^2=0$ +$x+0.5-6(y^2-4y+4)=0$ +$x+0.5-6y^2+24y-24=0$ +$-6y^2+x+24y-23.5=0$ diff --git a/notes/mat/Geometrie/Analytická/kružnice a přímka.md b/notes/mat/Geometrie/Analytická/kružnice a přímka.md index 87c0747..265995c 100644 --- a/notes/mat/Geometrie/Analytická/kružnice a přímka.md +++ b/notes/mat/Geometrie/Analytická/kružnice a přímka.md @@ -188,8 +188,8 @@ $D=2b-ac=8+5=13$ $T_1=[5;1]$ $T_2=[5;-5]$ -$t_1=T_1Q$ -$t_2=T_2Q$ +$t_1=\overleftrightarrow{T_1Q}$ +$t_2=\overleftrightarrow{T_2Q}$ $x=Q+u\vec{s_1}$