Take a point a on De, take ad and AE as the square side, make square ABCD and square aefg on the same side, connect DG, be, then the line segment DG and be meet De De = be and DG is perpendicular to be 1. If the square aefg is rotated a degree clockwise around point a, that is, the angle bag = a degree, is the conclusion still valid 2. Let the edge length of the square ABCD and aefg be 3 and 2, and the area of the closed figure enclosed by the line segments BD, De, eg and GB be s. when a changes, does s have the maximum value? If so, calculate the maximum value of a and the corresponding value of A

Take a point a on e, ad and AE as the side of the square, make square ABCD and square aefg on the same side, connect DG, be, then the line segments DG and be satisfy De, DG = be and DG is perpendicular to be. 1. Rotate square aefg clockwise around point a by θ degree, that is, angle bag = θ degree

RELATED INFORMATIONS

1. As shown in the figure, the vertex e of the square aefg is on the edge CD of the square ABCD; the extension of ad intersects EF at the H point. (1) try to explain: △ AED ∽ EHD; (2) if e is the midpoint of CD, find the value of hdha
2. As shown in the figure, EF is the double fold line of square ABCD, and the vertices of ∠ A and ∠ B coincide on EF. At this time, how many degrees is ∠ DHG?
3. Two congruent squares ABCD, aefg, with vertex a, CD and EF in common, intersect at point p; PC = pf; what kind of special quadrilateral with vertex e, C, F and D needs to be proved
4. The area of square a, B, C and D is 144 square centimeters. Efgh is the middle points of four sides respectively, which are successively connected to form a small square, and the side length surface of the small square is calculated
5. ABCD is a square, the area of △ DEF is 6 square cm larger than that of △ ABF, and CD is 4 cm long
6. 22. Square ABCD, the area of triangle DEF is 6 square centimeters larger than that of triangle ABF. CD is 6 cm long, what is the length of de
7. The side length of square ABCD is 20, CD is extended to e, connecting be. If the area of triangle ABF is 30 larger than that of triangle def, the length of De is calculated
8. As shown in the figure, the quadrilateral ABCD is a rectangle, BC = 15cm, CD = 8cm. The area of triangle ABF is 30cm larger than that of triangle def. Find the length of de
9. The side length of the bottom of the hexagonal prism is equal to 1, and the side length is 2. After the side of the prism is expanded along a side edge, the area of the side expansion is calculated
10. The area of one side of an oblique triangular prism is 10. The distance between the side and the opposite edge is equal to 6. The volume of the prism can be calculated
11. The edge CD of square ABCD connects be and DG on the edge ce of square ECGF;
12. The edge CD of square ABCD connects be and DG on the edge ce of square ECGF. (1) observe the size relationship between be and DG and prove the conclusion. (2)
13. As shown in the figure, it is known that the side length of square ABCD is 10 cm, point E is on side AB, and AE = 4 cm. If point P moves from point B to point C at a speed of 2 cm / s on line BC, and point Q moves from point C to point D on line CD, let the motion time be T seconds. (1) if the motion speed of point q is equal to that of point P, after 2 seconds, are △ BPE and △ CQP identical? Please explain the reason; (2) if the velocity of point q is not equal to that of point P, then when t is the value, it can make △ BPE and △ CQP congruent; at this time, what is the velocity of point q
14. Let the side length of the square ABCD be 6, and rotate 30 degrees clockwise around point a to get the square aefg, where the side FG and BC intersect at h, and find the length of BH
15. As shown in the figure, rotate square ABCD around point a clockwise to get square aefg, edge FG and BC intersect at point h. verification: Hg = Hb
16. After the square ABCD rotates n degrees around point a, the square aefg, EF and CD intersect at point o.1. Connect de and Ao, and prove that De is perpendicular to AO 2. If the side length of the square is 2 and the area of the overlapping part (quadrilateral aeod) is 4 / 3 times the root sign 3, the rotation angle n is calculated Baidu knows that there is a solution to this problem, but it uses trigonometric function Here we need to use quadrilateral or Pythagorean theorem to solve
17. If the side length of the square is 2cm and the area of the overlapping part (quadrilateral abhg) is 3 / 4 times the root sign 3, what is the rotation angle
18. Rotate square ABCD around point a clockwise to get square aefg. Edge FG and BC intersect at point H (as shown in the figure). Is segment Hg equal to segment HB? Please observe the conjecture first, and then prove your conjecture
19. As shown in the figure, rotate square ABCD around point a clockwise to get square aefg, edge FG and BC intersect at point h. verification: Hg = Hb
20. As shown in the figure, rotate square ABCD around point a clockwise to get square aefg, edge FG and BC intersect at point h. verification: Hg = Hb