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12345ma
@12345ma
May 2019
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Soit A (-3,4 ; 1). Déterminer les coordonnées du point B tel que (4 ; 8) soit le milieu de [AB]. MERCI D'AVANCE!
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MonsieurFirdown
Verified answer
Bonsoir
●Soit J (4;8) milieu de [AB]
On cherche B (x;y) on a donc :
xJ=xA+xB/2
4=-3+xB/2
(×2)4=-3+xB/2 (×2)
8=-3,4+xB
8+3,4=xB
11,4=xB
yJ=yA+yB/2
8=1+yB/2
(×2)8=1+yB/2 (×2)
16=1+yB
16-1=yB
15=yB
B(11,4 ; 15)
Vérification
xJ=xA+xB/2 yJ=yA+yB/2
xj=-3,4+11,4/2 yJ=1+15/2
xJ=8/2 yJ=16/2
xJ=4 yJ=8
D'où J (4 ; 8)
Voilà ^^
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Verified answer
Bonsoir●Soit J (4;8) milieu de [AB]
On cherche B (x;y) on a donc :
xJ=xA+xB/2
4=-3+xB/2
(×2)4=-3+xB/2 (×2)
8=-3,4+xB
8+3,4=xB
11,4=xB
yJ=yA+yB/2
8=1+yB/2
(×2)8=1+yB/2 (×2)
16=1+yB
16-1=yB
15=yB
B(11,4 ; 15)
Vérification
xJ=xA+xB/2 yJ=yA+yB/2
xj=-3,4+11,4/2 yJ=1+15/2
xJ=8/2 yJ=16/2
xJ=4 yJ=8
D'où J (4 ; 8)
Voilà ^^