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2023-09-08 12.19.22.excalidraw.md", + "data/Konstrukční úlohy 2023-09-08 12.09.54.excalidraw.md", + "data/Konstrukční úlohy 2023-09-08 11.36.28.excalidraw.md", + "data/Konstrukční úlohy 2023-09-08 11.27.10.excalidraw.md", "mat/mat.md", + "mat/Rovnice/Substituce.md", + "mat/Rovnice/Rovnice.md", + "mat/Trigonometrie/Trigonometrie.md", + "PRA/PRA.md", + "cjl/cjl.md", + "fyz/fyz.md", + "fyz/Světlo.md", + "data/Světlo 2023-09-07 14.20.26.excalidraw.md", + "fyz/pohyb/pohyb.md", + "PRA/Sbírka zákonů.md", + "učitelé/učitelé.md", "PRA", "Maturitni cetba/Fahrenheit 451.md", "Maturitni cetba/Maturitni cetba.md", @@ -255,17 +308,6 @@ "projects/dvop", "mat/Trigonometrie/Geometrie/Pravidelný n-úhelník.md", "mat/Trigonometrie/Geometrie/Mnohoúhelníky.md", - "mat/Funkce/Mocninné funkce.md", - "ele/Kapacita kondenzátorů.md", - "notes.md", - "har/BIOS.md", - "fyz/Jednotky SI.md", - "fyz/Pohyb.md", - "fyz/Příklad.md", - "fyz/Rychlost.md", - "fyz/Tření a třecí síla.md", - "mat/Funkce/Sinus.md", - 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"currentItemStartArrowhead": null, + "currentItemEndArrowhead": "arrow", + "scrollX": 921.9882202148438, + "scrollY": 637.1314086914062, + "zoom": { + "value": 1 + }, + "currentItemRoundness": "round", + "gridSize": null, + "currentStrokeOptions": null, + "previousGridSize": null + }, + "files": {} +} +``` +%% \ No newline at end of file diff --git a/notes/data/Konstrukční úlohy 2023-09-08 11.27.10.excalidraw.md b/notes/data/Konstrukční úlohy 2023-09-08 11.27.10.excalidraw.md new file mode 100644 index 0000000..68e7830 --- /dev/null +++ b/notes/data/Konstrukční úlohy 2023-09-08 11.27.10.excalidraw.md @@ -0,0 +1,537 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +5cm ^KN1m4ddi + +B ^AuWdYRm0 + +C ^gfsYvhus + +A ^DDH3uLjj + +6.5cm ^dkGdvgqK + +%% +# Drawing +```json +{ + "type": "excalidraw", + "version": 2, + "source": "https://github.com/zsviczian/obsidian-excalidraw-plugin/releases/tag/1.9.3", + "elements": [ + { + "id": "AqPuJwgiVCmzX1HXMA14x", + "type": "line", + "x": -252.2056884765625, + "y": 81.52163696289062, + "width": 592.4166259765625, + "height": 8.7635498046875, + "angle": 0, + "strokeColor": "#e03131", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": { + "type": 2 + }, + "seed": 1373627017, + "version": 77, + "versionNonce": 897499849, + "isDeleted": false, + "boundElements": null, + "updated": 1694165619250, + "link": null, + "locked": false, + "points": [ + [ + 0, + 0 + ], + [ + 592.4166259765625, + -8.7635498046875 + ] + ], + "lastCommittedPoint": null, + "startBinding": null, + "endBinding": null, + "startArrowhead": null, + "endArrowhead": null + }, + { + "id": "kecSY88dE8SmmmXvT7AZL", + "type": "line", + "x": -220.6568603515625, + "y": 61.365509033203125, + "width": 1.7528076171875, + "height": 29.79608154296875, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": { + "type": 2 + }, + "seed": 2123648775, + "version": 52, + "versionNonce": 2027579975, + "isDeleted": false, + "boundElements": null, + "updated": 1694165619250, + "link": null, + "locked": false, + "points": [ + [ + 0, + 0 + ], + [ + -1.7528076171875, + 29.79608154296875 + ] + ], + "lastCommittedPoint": null, + "startBinding": null, + "endBinding": null, + "startArrowhead": null, + "endArrowhead": null + }, + { + "id": "w14javualizuuXvEQ-wLZ", + "type": "line", + "x": 287.629638671875, + "y": 52.601959228515625, + "width": 1.752685546875, + "height": 30.67242431640625, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": { + "type": 2 + }, + "seed": 490315241, + "version": 76, + "versionNonce": 1745715625, + "isDeleted": false, + "boundElements": null, + "updated": 1694165619250, + "link": null, + "locked": false, + "points": [ + [ + 0, + 0 + ], + [ + 1.752685546875, + 30.67242431640625 + ] + ], + "lastCommittedPoint": null, + "startBinding": null, + "endBinding": null, + "startArrowhead": null, + "endArrowhead": null + }, + { + "id": "KN1m4ddi", + "type": "text", + "x": -12.9605712890625, + "y": 114.82315063476562, + "width": 35.059967041015625, + "height": 25, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": null, + "seed": 367110567, + "version": 7, + "versionNonce": 180586855, + "isDeleted": false, + "boundElements": null, + "updated": 1694165619250, + "link": null, + "locked": false, + "text": "5cm", + "rawText": "5cm", + "fontSize": 20, + "fontFamily": 1, + "textAlign": "left", + "verticalAlign": "top", + "baseline": 17, + "containerId": null, + "originalText": "5cm", + "lineHeight": 1.25 + }, + { + "id": "AuWdYRm0", + "type": "text", + "x": -246.94775390625, + "y": 99.04879760742188, + "width": 14.539993286132812, + "height": 25, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": null, + "seed": 1681631753, + "version": 34, + "versionNonce": 471950473, + "isDeleted": false, + "boundElements": null, + "updated": 1694165619251, + "link": null, + "locked": false, + "text": "B", + "rawText": "B", + "fontSize": 20, + "fontFamily": 1, + "textAlign": "left", + "verticalAlign": "top", + "baseline": 17, + "containerId": null, + "originalText": "B", + "lineHeight": 1.25 + }, + { + "id": "gfsYvhus", + "type": "text", + "x": 309.5384521484375, + "y": 90.28524780273438, + "width": 12.879989624023438, + "height": 25, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": null, + "seed": 100146727, + "version": 40, + "versionNonce": 1014744199, + "isDeleted": false, + "boundElements": null, + "updated": 1694165619251, + "link": null, + "locked": false, + "text": "C", + "rawText": "C", + "fontSize": 20, + "fontFamily": 1, + "textAlign": "left", + "verticalAlign": "top", + "baseline": 17, + "containerId": null, + "originalText": "C", + "lineHeight": 1.25 + }, + { + "id": "1ATZz0Y-0SbVmfutA8XJE", + "type": "ellipse", + "x": -303.03442382812455, + "y": -531.3749862507452, + "width": 1156.789916992187, + "height": 1146.5975204304327, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": { + "type": 2 + }, + "seed": 1477253801, + "version": 1108, + "versionNonce": 762702697, + "isDeleted": false, + "boundElements": null, + "updated": 1694165619251, + "link": null, + "locked": false + }, + { + "id": "Glr0m2M7BTycYIYSBXEow", + "type": "ellipse", + "x": -375.7718505859375, + "y": -94.62576293945312, + "width": 334.7679443359375, + "height": 334.7679443359375, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": { + "type": 2 + }, + "seed": 604894057, + "version": 209, + "versionNonce": 2109709223, + "isDeleted": false, + "boundElements": null, + "updated": 1694165619251, + "link": null, + "locked": false + }, + { + "type": "ellipse", + "version": 302, + "versionNonce": 1951831625, + "isDeleted": false, + "id": "sUZZI_Yyg6gpvmNPXCOeh", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "angle": 0, + "x": -205.39910888671875, + "y": -90.28549194335938, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "width": 334.7679443359375, + "height": 334.7679443359375, + "seed": 1248778569, + "groupIds": [], + "roundness": { + "type": 2 + }, + "boundElements": [], + "updated": 1694165619251, + "link": null, + "locked": false + }, + { + "id": "mBkUpzZUPZKiIc0_QOfD4", + "type": "line", + "x": -223.2860107421875, + "y": 80.64529418945312, + "width": 425.03271484375, + "height": 610.8201751708984, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": { + "type": 2 + }, + "seed": 900413545, + "version": 269, + "versionNonce": 314281671, + "isDeleted": false, + "boundElements": null, + "updated": 1694165619251, + "link": null, + "locked": false, + "points": [ + [ + 0, + 0 + ], + [ + 425.03271484375, + -610.8201751708984 + ] + ], + "lastCommittedPoint": null, + "startBinding": null, + "endBinding": null, + "startArrowhead": null, + "endArrowhead": null + }, + { + "id": "ML8n4QvznJEggE8X7S_GF", + "type": "line", + "x": 202.623046875, + "y": -530.1748809814453, + "width": 86.7591552734375, + "height": 601.1802215576172, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": { + "type": 2 + }, + "seed": 1795327401, + "version": 485, + "versionNonce": 866051369, + "isDeleted": false, + "boundElements": null, + "updated": 1694165619251, + "link": null, + "locked": false, + "points": [ + [ + 0, + 0 + ], + [ + 86.7591552734375, + 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-231.33746337890625, + "width": 53.33995056152344, + "height": 25, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": null, + "seed": 1742804487, + "version": 8, + "versionNonce": 1186617353, + "isDeleted": false, + "boundElements": null, + "updated": 1694165619251, + "link": null, + "locked": false, + "text": "6.5cm", + "rawText": "6.5cm", + "fontSize": 20, + "fontFamily": 1, + "textAlign": "left", + "verticalAlign": "top", + "baseline": 17, + "containerId": null, + "originalText": "6.5cm", + "lineHeight": 1.25 + } + ], + "appState": { + "theme": "light", + "viewBackgroundColor": "#ffffff", + "currentItemStrokeColor": "#1e1e1e", + "currentItemBackgroundColor": "transparent", + "currentItemFillStyle": "hachure", + "currentItemStrokeWidth": 1, + "currentItemStrokeStyle": "solid", + "currentItemRoughness": 1, + "currentItemOpacity": 100, + "currentItemFontFamily": 1, + "currentItemFontSize": 20, + "currentItemTextAlign": "left", + "currentItemStartArrowhead": null, + "currentItemEndArrowhead": "arrow", + "scrollX": 921.9882202148438, + "scrollY": 637.1314086914062, + "zoom": { + "value": 1 + }, + "currentItemRoundness": "round", + "gridSize": null, + "currentStrokeOptions": null, + "previousGridSize": null + }, + "files": {} +} +``` +%% \ No newline at end of file diff --git a/notes/data/Konstrukční úlohy 2023-09-08 11.36.28.excalidraw.md b/notes/data/Konstrukční úlohy 2023-09-08 11.36.28.excalidraw.md new file mode 100644 index 0000000..8b48a22 --- /dev/null +++ b/notes/data/Konstrukční úlohy 2023-09-08 11.36.28.excalidraw.md @@ -0,0 +1,1003 @@ +--- + +excalidraw-plugin: parsed +tags: [excalidraw] + +--- +==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠== + + +# Text Elements +A ^eJ555Gmq + +B ^pHBZ42CX + +7cm ^WTjLfXkM + +4cm ^09Pybo3E + +10cm ^4nI0Pyg0 + +7cm ^k9lffUsO + +v_a ^noBKtOGL + +C ^rrX3Syeo + +D ^ciLMLugU + +C' ^KXRO4S8R + +D' ^6aDBWaWe + +%% +# Drawing +```json +{ + "type": "excalidraw", + "version": 2, + "source": "https://github.com/zsviczian/obsidian-excalidraw-plugin/releases/tag/1.9.3", + "elements": [ + { + "id": "BEPFcbAIF2oBkPVgH1BYT", + "type": "line", + "x": -318.80877685546875, + "y": 106.05960083007812, + "width": 499.52301025390625, + "height": 8.7635498046875, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": { + "type": 2 + }, + "seed": 1522387207, + "version": 31, + "versionNonce": 1117777895, + "isDeleted": false, + "boundElements": null, + "updated": 1694165800499, + "link": null, + "locked": false, + "points": [ + [ + 0, + 0 + ], + [ + 499.52301025390625, + -8.7635498046875 + ] + ], + "lastCommittedPoint": null, + "startBinding": null, + "endBinding": null, + "startArrowhead": null, + "endArrowhead": null + }, + { + "id": "eJ555Gmq", + "type": "text", + "x": -314.427001953125, + "y": 137.60842895507812, + "width": 13.1199951171875, + "height": 25, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": null, + "seed": 730113545, + "version": 3, + "versionNonce": 1095680105, + "isDeleted": false, + "boundElements": null, + "updated": 1694165806523, + "link": null, + "locked": false, + "text": "A", + "rawText": "A", + "fontSize": 20, + "fontFamily": 1, + "textAlign": "left", + "verticalAlign": "top", + "baseline": 17, + "containerId": null, + "originalText": "A", + "lineHeight": 1.25 + }, + { + "id": "pHBZ42CX", + "type": "text", + "x": 174.5797119140625, + "y": 140.23757934570312, + "width": 14.539993286132812, + "height": 25, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": null, + "seed": 1100243495, + "version": 7, + "versionNonce": 1895962857, + "isDeleted": false, + "boundElements": null, + "updated": 1694165827480, + "link": null, + "locked": false, + "text": "B", + "rawText": "B", + "fontSize": 20, + "fontFamily": 1, + "textAlign": "left", + "verticalAlign": "top", + "baseline": 17, + "containerId": null, + "originalText": "B", + "lineHeight": 1.25 + }, + { + "id": "TvPO5PnPE3bm5BqESkoX9", + "type": "line", + "x": -308.29248046875, + "y": 95.54336547851562, + "width": 1.75274658203125, + "height": 17.527099609375, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": { + "type": 2 + }, + "seed": 541903689, + "version": 16, + "versionNonce": 1474052007, + "isDeleted": false, + "boundElements": null, + "updated": 1694165809522, + "link": null, + "locked": false, + "points": [ + [ + 0, + 0 + ], + [ + -1.75274658203125, + 17.527099609375 + ] + ], + "lastCommittedPoint": null, + "startBinding": null, + "endBinding": null, + "startArrowhead": null, + "endArrowhead": null + }, + { + "id": "SizR7jKtmukyu6pk46wbP", + "type": "line", + "x": 171.9505615234375, + "y": 81.52163696289062, + "width": 3.5054931640625, + "height": 28.91973876953125, + "angle": 0, + "strokeColor": "#1e1e1e", + "backgroundColor": "transparent", + "fillStyle": "hachure", + "strokeWidth": 1, + "strokeStyle": "solid", + "roughness": 1, + "opacity": 100, + "groupIds": [], + "roundness": { + "type": 2 + }, + "seed": 1388720713, + "version": 27, + "versionNonce": 1892854697, + "isDeleted": false, + "boundElements": null, + "updated": 1694165811713, + "link": null, + "locked": false, + "points": [ + [ + 0, + 0 + ], + [ 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2023-09-08 11.27.10.excalidraw|Konstrukční úlohy 2023-09-08 11.27.10.excalidraw]] +- [[data/Konstrukční úlohy 2023-09-08 11.36.28.excalidraw|Konstrukční úlohy 2023-09-08 11.36.28.excalidraw]] +- [[data/Konstrukční úlohy 2023-09-08 12.09.54.excalidraw|Konstrukční úlohy 2023-09-08 12.09.54.excalidraw]] - [[data/Kótování koule_2022-01-07 12.14.15.excalidraw|Kótování koule_2022-01-07 12.14.15.excalidraw]] - [[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]] diff --git a/notes/mat/Ekvigonala.md b/notes/mat/Ekvigonala.md new file mode 100644 index 0000000..9e9c96d --- /dev/null +++ b/notes/mat/Ekvigonala.md @@ -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]] diff --git a/notes/mat/Konstrukční úlohy.md b/notes/mat/Konstrukční úlohy.md new file mode 100644 index 0000000..93b26ac --- /dev/null +++ b/notes/mat/Konstrukční úlohy.md @@ -0,0 +1,20 @@ +# 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) \ No newline at end of file diff --git a/notes/mat/Rovnice/Rovnice.md b/notes/mat/Rovnice/Rovnice.md index d31b197..3ec23d0 100644 --- a/notes/mat/Rovnice/Rovnice.md +++ b/notes/mat/Rovnice/Rovnice.md @@ -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 %% diff --git a/notes/mat/Rovnice/Substituce.md b/notes/mat/Rovnice/Substituce.md new file mode 100644 index 0000000..f025a30 --- /dev/null +++ b/notes/mat/Rovnice/Substituce.md @@ -0,0 +1,31 @@ +# Substituce + + + +---- + +## Iracionální rovnice +Pokud je pod odmocninou proměnná + +$$\sqrt{2(x^2+3x+6)^2-7}=x^2+3x+7$$ + +$a=x^2+3x+6$ +$$\sqrt{2a^2-7}=a+1$$ +$$2a^2-7=a^2+1$$ +$$a^2-2a-8=0$$ +$$(a+2)(a-4)=0$$ + +$$a=-2$$ +$L=\sqrt{2(-2)^2-7}=1\ne P=-1$ + +$$a=4$$ +$L=\sqrt{2*16-7}=5$ +$P=4+1=5$ + +$x^2+3x+6=4$ +$x^2+3x+2=0$ +$(x+2)(x-1)=0$ + +$x=-2$ +$x=-1$ +$K=\{-2;-1\}$ diff --git a/notes/mat/mat.md b/notes/mat/mat.md index 093e212..0645290 100644 --- a/notes/mat/mat.md +++ b/notes/mat/mat.md @@ -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]]