а) Изобразите на координатной прямой точки:
A(5), B(−3), C(−8), D(−1,5);
M(6), N(−1), P(2,5), O(0);
Q(−3,5), R(−5), S(2), Z(4,5);
E(−7), F(9), K(3,5), L(−0,5).
б) Найдите расстояние между точками:
P и B, D и P, A и Q, B и N;
D и A, B и C, N и Q, M и D;
M и N, R и Q, A и C, P и Q;
M и Q, N и P, A и P, B и D.
PB = |2,5 − (−3)| = |2,5 + 3| = |5,5| = 5,5;
DP = |−1,5 − 2,5| = |−4| = 4;
AQ = |5 − (−3,5)| = |5 + 3,5| = |8,5| = 8,5;
BN = |−3 − (−1)| = |−3 + 1| = |−2| = 2.
DA = |−1,5 − 5| = |−6,5| = 6,5;
BC = |−3 − (−8)| = |−3 + 8| = |5| = 5;
NQ = |−1 − (−3,5)| = |−1 + 3,5| = |2,5| = 2,5;
MD = |6 − (−1,5)| = |6 + 1,5| = |7,5| = 7,5.
MN = |6 − (−1)| = |6 + 1| = |7| = 7;
RQ = |−5 − (−3,5)| = |−5 + 3,5| = |−1,5| = 1,5;
AC = |5 − (−8)| = |5 + 8| = |13| = 13;
PQ = |2,5 − (−3,5)| = |2,5 + 3,5| = |6| = 6.
MQ = |6 − (−3,5)| = |6 + 3,5| = |9,5| = 9,5;
NP = |−1 − 2,5| = |−3,5| = 3,5;
AP = |5 − 2,5| = |2,5| = 2,5;
BD = |−3 − (−1,5)| = |−3 + 1,5| = |−1,5| = 1,5.
