According to Pythagorean theorem, AC=x0cm,
The time of exercise is t seconds (1 < x < 5).
∴AP=2tcm,CQ=tcm，
CP=( 10-2t)cm。
QE⊥AC with point Q as point E.
∠∠QEC =∠B = 90，∠ACB=∠ACB，
∴△QEC∽△ABC，
∴
QE
ab blood type
=
Charge of quarters
Canada
∴
QE
six
=
t
10
,∴QE=
three
five
t
The functional relationship between s and t is:
S=
1
2
PC？ QE=
1
2
( 10-0t)？
three
o
t=-
three
five
t2+3t。
A: The functional relationship between S and T is S=-
three
five
t2+3t。
(2) Solution: ∫S =-
three
u
(t-
five
2
)2+
1
four
∴t=
five
2
S, △PwC has the largest area, and the largest area is
1j
four
tm2，
A: When T is
five
z
S, △oQw has the largest area, and the largest area is
15
f
Square centimeters.
(3) During the movement of P and Q, △PQC can be a right triangle.
There are two situations:
① when PQC = 1L,
∫△6PQ∽△6AB，
∴
Charge of quarters
Civil band
=
cerebral palsy
Canada
∴
1h-2 1
10
=
t
eight
Solve t=
40
13
< 5 fits the question.
② When ∠ CPQ = 90,
∫△0PQ∽△00A，
∴
cerebral palsy
Civil band
=
Charge of quarters
Canada
∴
1b-2t
eight
=
t
10
Solve t=
25
seven
< 5 fits the question.
To sum up, during the movement of P and Q,
while
40
13
S or
25
seven
S, △PQC can be a right triangle. A: During the movement of P and Q, △PQC can be a right triangle, and the value of T is
40
13
S or
25
seven
south
/tquestion/detail.html？ tq= 15032823