It is known that two straight lines l 1⊥l2, whose intersections are O, l3 and l4 all pass through points P and l3⊥l4, l3 and l 1, l2 passes through points A, B, l4 and l 1 respectively, and l2 passes through points C.D. from D, C, O to OP. Verification: XY=PA, YZ=PB.

As shown in figure 1, in a rectangular PQRS with a length of 44 and a width of 12, a right-angled triangular piece of paper ABC and a square piece of paper DEFG are placed as shown in the figure, in which the sides of AB and DE are on PQ, the sides of EF are on QR, the sides of BC and DG are on the same straight line, Rt△ABC BC=6, AB=8, and the square DEFG. From the initial moment, the triangular paper ABC moves to the left in the AP direction at the speed of 1 unit length per second; At the same time, the square paper DEFG moves upward along QR direction at a speed of 2 unit lengths per second. When the edge GF falls on SR, the paper DEFG immediately moves to the left along the RS direction at the original speed until the G point coincides with the S point, and the two papers stop moving at the same time. Let the translation time be x seconds.

(1) Please fill in the blank: when x=2, CD=, DQ=, CQ=.

(2) As shown in Figure 2, when the paper DEFG is translated along QR direction, connect CD, DQ and CQ, find the functional relationship between the area S of △CDQ and X in the translation process, and write out the value range of the independent variable X (where the line segment area is designated as zero);

(3) As shown in Figure 3, when the paper DEFG is translated in the RS direction, is there such a moment x that the triangle with vertices A, C and D is an isosceles triangle? If it exists, find the value corresponding to x; If it does not exist, please explain why.