Geometrie analitica Lectia 17Ecuatia planului in spatiul XOYZ

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Analytical Geometry - Lesson 17-Equation of plan in XOYZ space • Equation of the plane in the XOYZ space, the equation of the plane as the determinant, the equation of the plane passing through three known points, the intersection of the plan with the coordinate axes: Ox, Oy, OZ. • the three-dimensional space with the coordinate axes: OX; Oy and OZ; • the equation of the OX axis is y = o and z = 0; • the equation of the OY axis is x = o and z = 0; • the equation of the OZ axis is y = o and x = 0; • the common properties of all points generate the equation of the respective axes; • the equation of the plan that is terece through three known points, the morale vector is on the plane and then the equation of the plan is written. • ........................................... • Geometrie analitica --Lectia 17-Ecuatia planului in spatiul XOYZ • Ecuatia planului in spatiul XOYZ , ecuatia planului sub forma de determinant, ecuatia planului care trece prin trei puncte cunoscute , intersectia planului cu axele de coordonate : Ox,Oy,OZ. • spatiul cu trei dimensiuni cu axele de coordonate : OX;Oy si OZ; • ecuatia axei OX este y= o si z=0 ; • ecuatia axei OY este x= o si z=0 ; • ecuatia axei OZ este y= o si x=0 ; • proprietatile comune ale tuturor punctelor genereaza ecuatia axelor respective; • ecuatia planului care terece prin trei puncte cunoscute , se afla vectorul nornal pe plan si apoi se scrie ecuatia planului. • ........................................... • 分析几何 - 第17课 - XOYZ空间中的计划方程式 • XOYZ空间中的平面方程，平面作为行列式的方程，通过三个已知点的平面方程，平面与坐标轴的交点：Ox，Oy，OZ。 • 具有坐标轴的三维空间：OX; Oy和OZ; • OX轴的方程为y = o和z = 0; • OY轴的方程为x = o和z = 0; • OZ轴的方程为y = o和x = 0; • 所有点的共同特性产生相应轴的方程; • 通过三个已知点计算的方程式，士气矢量在平面上，然后写出计划的方程式。 • ........................................... • Analytical Geometry - Phunziro 17-Kufanana kwa dongosolo mu malo a XOYZ • Kuwunikira kwa ndege mu malo a XOYZ, kulinganirana kwa ndege monga chidziwitso, momwe ndege imadutsa kupyolera mu zigawo zitatu zodziwika, njira yolumikizana ndi ndondomekoyi: Ox, Oy, OZ. • danga la magawo atatu ndi zitsulo zogwirizanitsa: OX; Oy ndi OZ; • equation ya ox axis ndi y = o ndi z = 0; • equation ya OY axis ndi x = o ndi z = 0; • equation ya OZ axis ndi y = o ndi x = 0; • Zomwe zimagwirizanitsa zigawo zonse zimapanga mgwirizano wa zitsulo; • kulingalira kwa ndondomeko yomwe ikuchitika kupyolera mu zigawo zitatu zodziwika, vector yokhala ndi chikhalidwe chiri pa ndege ndipo kenako kulingalira kwa ndondomekoyi kwalembedwa. • ........................................... • 분석적 기하학 - 수업 17 - XOYZ 공간에서 계획의 방정식 • XOYZ 공간에서 평면의 방정식, 행렬식 인 평면의 방정식, 3 개의 알려진 점을 통과하는 평면의 방정식, 좌표 축과의 평면 교차점 : Ox, Oy, OZ. • 좌표축을 가진 3 차원 공간 : OX; Oy 및 OZ; • OX 축의 방정식은 y = 0이고 z = 0입니다. • OY 축의 방정식은 x = o이고 z는 0입니다. • OZ 축의 방정식은 y = o이고 x = 0입니다. • 모든 점의 공통 속성은 각 축의 방정식을 생성합니다. • 3 개의 알려진 지점을 통해 이루어지는 계획의 방정식, 사기 벡터가 평면 위에 있고 계획의 방정식이 작성됩니다. • ........................................... • Geometria Analitica - Lección 17-Equation di pianu in u spaziu XOYZ • L'equazioni di u pianu in u spaziu XOYZ, l'equazzioni di u pianu cum'è u determinant, l'equazioni di u pianu chì passava trè punti cunnisciuti, a intersezzione di u pianu cù l'ardure coordenade: Ox, Oy, OZ. • u spaziu tridimensionalu cù l'assi coordonnées: OX; Oy è OZ; • l'equazzioni di l'ose OX hè y = o è z = 0; • l'equazzioni di l'assi hè OY è x = o è z = 0; • l'equazzioni di l'ose di OZ hè y = o è x = 0; • i propietari cumuni di tutti i punti generate l'equazioni di l'assi proprie; • l'equazzioni di u pianu chì hè terece à traversu trè punti cunnisciuti, u vettore morale hè nantu à u pianu è l'equazzioni di u pianu è scrittu. • ........................................... • Analyse Jewometri - Leson 17-Egwasyon plan pou espas XOYZ • Ekwasyon nan avyon an nan espas XOYZ, ekwasyon plan an kòm detèminan, ekwasyon avyon an pase nan twa pwen li te ye yo, entèseksyon plan an avèk kowòdone ax yo: Ox, Oy, OZ. • espas ki genyen twa dimansyon ak kwen yo kowòdone: OX; Oy ak OZ; • ekwasyon aks o a se y = o ak z = 0; • ekwasyon aksè OY a se x = o ak z = 0; • ekwasyon aks aks yo se y = o ak x = 0; • pwopriyete yo komen nan tout pwen jenere ekwasyon an nan rach yo respektif; • ekwasyon plan an ki se terece nan twa pwen li te ye, vektè a moral se sou avyon an ak Lè sa a, se ekwasyon an nan plan an ekri. • ....................................... • Analitička geometrija - Lekcija 17 - Jednadžba plana u XOYZ prostoru • Jednadžba ravnine u XOYZ prostoru, jednadžba ravnine kao determinanta, jednadžba ravnine koja prolazi kroz tri poznate točke, sjecište plana s koordinatnim osi: Ox, Oy, OZ. • trodimenzionalni prostor s koordinatnim osi: OX; Oy i OZ; • jednadžba OX osi je y = o i z = 0; • jednadžba osi OY je x = o i z = 0; • jednadžba osi OZ je y = o i x = 0; • zajednička svojstva svih točaka generiraju jednadžbu odgovarajućih osi; • jednadžba plana koji je teren kroz tri poznate točke, moralni vektor nalazi se na ravnini i onda je napisana jednadžba plana. • 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