11/03/15
- Fazer os exercícios da página 72 (6, 7, 8, 9, 10, 12 e 13);
6)a) A(3,7) e B(1,4)
d(A,B)=V(x1-x2)2+(y2-y1)2
d(A,B)=V(1-3)2+(4-7)2=V4+9=V13
b) E(3,-1) e F(3,5)
d(E,F)=V(x1-x2)2+(y2-y1)2
d(E,F)=V(3-3)2+(5+1)2=V0+36=6
c) H(-2,-5) e O(0,0)
d(H,O)=V(x1-x2)2+(y2-y1)2
d(H,O)=V(0+2)2+(0+5)2=V4+25=V29
d) M(0,-2) e N(V5,-2)
d(M,N)=V(x1-x2)2+(y2-y1)2
d(M,N)=V(V5-0)2+(-2+2)2=V5+0=V5
7)a) P(3,-3) e Q(-3,3)
d(P,Q)=V(x1-x2)2+(y2-y1)2
d(P,Q)=V(-3-3)2+(3+3)2=V36+36=V72
b) C(-4,0) e D(0,3)
d(C,D)=V(x1-x2)2+(y2-y1)2
d(C,D)=V(0+4)2+(3-0)2=V16+9=V25=5
8) A(a,1) e B(0,2)
V(0-a)2+(2-1)2=3
(Va2+1)2=(3)2
a2+1=9
a2=9-1
a2=8
a=V8=2V2
