∴AC=
AB2−BC2 |
102−82 |
设经过ts,△CPQ与△CBA相似,则有BP=2tcm,PC=(8-2t)cm,CQ=tcm,
分两种情况:
①当△PQC∽△ABC时,有
QC |
BC |
PC |
AC |
t |
8 |
8−2t |
6 |
32 |
11 |
②当△QPC∽△ABC时,有
QC |
AC |
PC |
BC |
t |
6 |
8−2t |
8 |
12 |
5 |
综上可知,经过
12 |
5 |
32 |
11 |
AB2−BC2 |
102−82 |
QC |
BC |
PC |
AC |
t |
8 |
8−2t |
6 |
32 |
11 |
QC |
AC |
PC |
BC |
t |
6 |
8−2t |
8 |
12 |
5 |
12 |
5 |
32 |
11 |