∴AB=5,
设⊙P经过x秒后与直线AB相切,过P点作AB的垂线,垂足为Q,则PQ=1;
(1)当⊙P在直线AB的左边与直线AB相切时,AP=4-x,
由△APQ∽△ABO得,
AP |
AB |
PQ |
BO |
4−x |
5 |
1 |
3 |
解得x=
7 |
3 |
(2)当⊙P在直线AB的右边与直线AB相切时,AP=x-4;
由△APQ∽△ABO得,
AP |
AB |
PQ |
BO |
x−4 |
5 |
1 |
3 |
解得x=
17 |
3 |
故填
7 |
3 |
17 |
3 |
AP |
AB |
PQ |
BO |
4−x |
5 |
1 |
3 |
7 |
3 |
AP |
AB |
PQ |
BO |
x−4 |
5 |
1 |
3 |
17 |
3 |
7 |
3 |
17 |
3 |