Respuesta
1)
r=1/4
r=2/3
r=3/2
r=4
2)
a) (1,0)
b) (1,1)
c)(1,-1/2)
3)P(-1/3,-4/3)
Explicación paso a paso:
P1P=(1/5)P1P2
P1P=(1/5)(P1P+PP2)
5P1P=P1P+PP2
5P1P-P1P=PP2
4P1P=PP2
P1P/PP2=1/4=r
P1Q=(2/5)P1P2
P1Q=(2/5)(P1Q+QP2)
5P1Q=2(P1Q+QP2)
5P1Q=2P1Q+2QP2
3P1Q=2QP2
P1Q/QP2=2/3=r
.............
punto medio
Xm=(x1+x2)/2
ym=(y1+y2)/2
a)Xm=(-2+4)/2=1
ym=(1+(-1))/2=0
3)
A(-5,-1), B(4,5)
P y Q puntos de triseccion
P(Xp,Yp)
r=AP/PB=1/2
Xp=(Xa+r*Xb)/(1+r)
=(-5*(1/2)+1/2*(4))/(1+1/2)
=(-5/2+2)/(3/2)
=-1/2/(3/2)
=-1/3
yp=(Ya+r*Yb)/(1+r)
=(-1*(1/2)+1/2*(5))/(1+1/2)
=(-1/2+5/2)/(3/2)
=-2/(3/2)
=-4/3
Q
..........
..
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Respuesta
1)
r=1/4
r=2/3
r=3/2
r=4
2)
a) (1,0)
b) (1,1)
c)(1,-1/2)
3)P(-1/3,-4/3)
Explicación paso a paso:
1)
P1P=(1/5)P1P2
P1P=(1/5)(P1P+PP2)
5P1P=P1P+PP2
5P1P-P1P=PP2
4P1P=PP2
P1P/PP2=1/4=r
P1Q=(2/5)P1P2
P1Q=(2/5)(P1Q+QP2)
5P1Q=2(P1Q+QP2)
5P1Q=2P1Q+2QP2
3P1Q=2QP2
P1Q/QP2=2/3=r
.............
2)
punto medio
Xm=(x1+x2)/2
ym=(y1+y2)/2
a)Xm=(-2+4)/2=1
ym=(1+(-1))/2=0
.............
3)
A(-5,-1), B(4,5)
P y Q puntos de triseccion
P(Xp,Yp)
r=AP/PB=1/2
Xp=(Xa+r*Xb)/(1+r)
=(-5*(1/2)+1/2*(4))/(1+1/2)
=(-5/2+2)/(3/2)
=-1/2/(3/2)
=-1/3
yp=(Ya+r*Yb)/(1+r)
=(-1*(1/2)+1/2*(5))/(1+1/2)
=(-1/2+5/2)/(3/2)
=-2/(3/2)
=-4/3
Q
..........
..