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n-úhelník.md", + "data/Pravidelný n-úhelník 2023-10-13 12.07.37.excalidraw.md", + "data/Obvody a obsahy rovinných útvarů 2023-10-13 12.02.25.excalidraw.md", "mat/Geometrie/Kružnice.md", + "data/Kružnice 2023-10-13 11.32.35.excalidraw.md", + "fyz/Svetlo/Rovinné zrcadlo.md", + "fyz/Svetlo/Untitled.md", + "fyz/fyz.md", + "mat/Funkce/Příklady.md", "mat/mat.md", "eko/eko.md", "eko/Úvodní hodina.md", @@ -250,22 +302,12 @@ "mat/Funkce/Vlastnosti funkcí.md", "mat/Funkce/Sinus.md", "data/Uplny odraz svetla 2023-09-21 12.52.08.excalidraw.md", - "fyz/fyz.md", "kbb/math/Modulární aritmetika.md", "eko/Untitled.md", "mat/Geometrie/Geometrie.md", - "mat/Geometrie/Konstrukční úlohy.md", - "mat/Geometrie/Středová souměrnost.md", "eko", - "kbb/math/math.md", - "kbb/kbb.md", "kbb/math", - "data/Konstrukční úlohy 2023-09-08 12.09.54.excalidraw.md", - "mat/Geometrie/Zobrazení v rovině.md", - "mat/Funkce/Funkce.md", "mat/Geometrie", - "cjl/cjl.md", - "data/Odraz světla 2023-09-14 13.19.17.excalidraw.md", 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+a ^MbNF1U7P + +a ^Uo8iLOIV + +a ^f9aph8fs + +a ^0JcYe455 + +a ^gpGXG907 + +%% +# Drawing +```json +{ + "type": "excalidraw", + "version": 2, + "source": "https://github.com/zsviczian/obsidian-excalidraw-plugin/releases/tag/1.9.3", + "elements": [ + { + "id": "WcBlqdj99yVNYic819kGO", + "type": "line", + "x": -140.908447265625, + "y": -207.68270111083984, + "width": 127.071533203125, + "height": 0.000030517578125, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": { + "type": 2 + }, + "seed": 1496002932, + "version": 130, + "versionNonce": 169212788, + "isDeleted": false, + "boundElements": null, + "updated": 1697191684661, + "link": null, + "locked": false, + "points": [ + [ + 0, + 0 + ], + [ + 127.071533203125, + 0.000030517578125 + ] + ], + "lastCommittedPoint": null, + "startBinding": null, + "endBinding": null, + 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rovinných útvarů 2023-10-13 12.02.25.excalidraw|Obvody a obsahy rovinných útvarů 2023-10-13 12.02.25.excalidraw]] +- [[data/Obvody a obsahy rovinných útvarů 2023-10-13 12.18.54.excalidraw|Obvody a obsahy rovinných útvarů 2023-10-13 12.18.54.excalidraw]] +- [[data/Obvody a obsahy rovinných útvarů 2023-10-13 12.28.11.excalidraw|Obvody a obsahy rovinných útvarů 2023-10-13 12.28.11.excalidraw]] - [[data/Odraz světla 2023-09-14 13.19.17.excalidraw|Odraz světla 2023-09-14 13.19.17.excalidraw]] - [[data/Odraz světla 2023-09-21 14.11.58.excalidraw|Odraz světla 2023-09-21 14.11.58.excalidraw]] - [[data/Opakující se prvky_2021-11-26 12.28.49.excalidraw|Opakující se prvky_2021-11-26 12.28.49.excalidraw]] @@ -340,6 +344,7 @@ imagePrefix: 'data/' - [[data/Pasted image 20230613135723.png|Pasted image 20230613135723.png]] - [[data/Pasted image 20230613140100.png|Pasted image 20230613140100.png]] - [[data/Pasted image 20230613140233.png|Pasted image 20230613140233.png]] +- [[data/Pravidelný n-úhelník 2023-10-13 12.07.37.excalidraw|Pravidelný n-úhelník 2023-10-13 12.07.37.excalidraw]] - [[data/Rezistory 2022-06-09 11.29.33.excalidraw|Rezistory 2022-06-09 11.29.33.excalidraw]] - [[data/Screenshot_20230402_150005.png|Screenshot_20230402_150005.png]] - [[data/Screenshot_20230402_150549.png|Screenshot_20230402_150549.png]] diff --git a/notes/fyz/Svetlo/Rovinné zrcadlo.md b/notes/fyz/Svetlo/Rovinné zrcadlo.md new file mode 100644 index 0000000..b45e706 --- /dev/null +++ b/notes/fyz/Svetlo/Rovinné zrcadlo.md @@ -0,0 +1,8 @@ +# Rovinné zrcadlo + +Obraz je +- vzpřímený +- stejně velký +- zdánlivý +- souměrný + diff --git a/notes/fyz/Svetlo/Svetlo.md b/notes/fyz/Svetlo/Svetlo.md index b003d10..a0cf6a0 100644 --- a/notes/fyz/Svetlo/Svetlo.md +++ b/notes/fyz/Svetlo/Svetlo.md @@ -1,4 +1,5 @@ %% Zoottelkeeper: Beginning of the autogenerated index file list %% - [[fyz/Svetlo/Odraz světla|Odraz světla]] -- [[Uplny odraz svetla|Uplny odraz svetla]] +- [[fyz/Svetlo/Rovinné zrcadlo|Rovinné zrcadlo]] +- [[fyz/Svetlo/Uplny odraz svetla|Uplny odraz svetla]] %% Zoottelkeeper: End of the autogenerated index file list %% diff --git a/notes/mat/Geometrie/Geometrie.md b/notes/mat/Geometrie/Geometrie.md index ea70211..b210fa5 100644 --- a/notes/mat/Geometrie/Geometrie.md +++ b/notes/mat/Geometrie/Geometrie.md @@ -2,6 +2,7 @@ %% Zoottelkeeper: Beginning of the autogenerated index file list %% - [[mat/Geometrie/Konstrukční úlohy|Konstrukční úlohy]] - [[mat/Geometrie/Kružnice|Kružnice]] +- [[mat/Geometrie/Obvody a obsahy rovinných útvarů|Obvody a obsahy rovinných útvarů]] - [[mat/Geometrie/Středová souměrnost|Středová souměrnost]] - [[mat/Geometrie/Zobrazení v rovině|Zobrazení v rovině]] %% Zoottelkeeper: End of the autogenerated index file list %% diff --git a/notes/mat/Geometrie/Kružnice.md b/notes/mat/Geometrie/Kružnice.md index 1a21913..e52863b 100644 --- a/notes/mat/Geometrie/Kružnice.md +++ b/notes/mat/Geometrie/Kružnice.md @@ -28,15 +28,11 @@ Platí že $\alpha+\delta=180\degree=\gamma+\beta$ +--- +## Příklady - - - - - - - -$$\frac{\sin\alpha}{\sin60\cos\alpha-\cos60\sin\alpha}|/\sin\alpha$$ -$$\frac{1}{\sin60\frac{\cos\alpha}{\sin\alpha}-\cos60}$$ -$$\frac{1}{\sin60\cotg\alpha-\cos60}$$ +![[Kružnice 2023-10-13 11.32.35.excalidraw]] +$$\frac58kce$$ +$$2w=\frac58*360=225\degree$$ +$$w=2w/2=225/2=112.5\degree$$ diff --git a/notes/mat/Geometrie/Obvody a obsahy rovinných útvarů.md b/notes/mat/Geometrie/Obvody a obsahy rovinných útvarů.md new file mode 100644 index 0000000..7654cc6 --- /dev/null +++ b/notes/mat/Geometrie/Obvody a obsahy rovinných útvarů.md @@ -0,0 +1,60 @@ +# Obvody a obsahy rovinných útvarů + +## Obdélník + +$S=ab$ +$o=2(a+b)$ + +## Kosodélník + +$o=2(a+b)$ +$S=av_a=bv_b$ + +## Trojúhelník + +$o=a+b+c$ +$S=\frac{av_a}2$ + +## Lichoběžník + +![[Obvody a obsahy rovinných útvarů 2023-10-13 12.02.25.excalidraw]] + +Speciální typy: +- rovnoramenný ($d=b$) +- pravoúhlý (má 2 úhly o velikosti $90\degree$) + +$o=a+b+c+d$ +$S=\frac{v_a(a+c)}2$ + +## [Pravidelný n-úhelník](Pravidelný%20n-úhelník.md) + +$o=na$ +$S=\frac{va}2n$ + +## Kruh + +$o=2\pi r$ +$S=\pi r^2$ + +--- + +## Příklady + +Vyjádřete velikost výšky v rovnostranném $\triangle$ se stranou $a$. + +$v=a\sin(60)=\frac{a\sqrt3}2$ + +Vypočítejte $S$ a $o$ vyšrafovaných útvarů. + +![[Obvody a obsahy rovinných útvarů 2023-10-13 12.18.54.excalidraw]] + +$S=a*(a\sin(60))-\frac{\pi (\frac{a}2)^2}2$ +$o=\pi r$ + +$S=\frac{av}2-\frac{\pi(\frac{a}2)^2}2$ +$S=\frac{a^2\sqrt3}4-\frac{\pi a^2}8=\frac{2a^2\sqrt3-\pi a^2}8$ + +![[Obvody a obsahy rovinných útvarů 2023-10-13 12.28.11.excalidraw]] + +$S=2a-\frac{pi a^2}2$ +$o=\pi r$ diff --git a/notes/mat/Trigonometrie/Geometrie/Pravidelný n-úhelník.md b/notes/mat/Trigonometrie/Geometrie/Pravidelný n-úhelník.md index 68b1b60..9850fbf 100644 --- a/notes/mat/Trigonometrie/Geometrie/Pravidelný n-úhelník.md +++ b/notes/mat/Trigonometrie/Geometrie/Pravidelný n-úhelník.md @@ -1 +1,3 @@ # Pravidelný n-úhelník + +![[Pravidelný n-úhelník 2023-10-13 12.07.37.excalidraw]] \ No newline at end of file