∴△DAD，BD2=AB2+AD2-2AB？ ADcos2θ=8-8cos2θ，

∫△BCD is a regular triangle.

∴S△BCD=34BD2=3(2-2cos2θ)

∴ The area of quadrilateral ABCD is S=S△BAD+S△BCD= 12? AB？ ADsin2θ+3(2-2cos2θ)

= 23+2sin2θ-23cos2θ = 23+4sin (2θ-π 3), where θ∈(0, π2).

(2) From (1), when 2θ-π3=π2,

That is, when θ=5π 12, the maximum value of S is 4+2. What's your comment on this answer? Put away comments//high quality or satisfaction or special types or recommended answers dottimewindow.iperformance & window.iperformance.mark ('c _ best',+newdate); Lawyer recommendation service: If your problem is not solved, please describe your problem in detail and provide free professional consultation through Baidu Legal Pro. Other similar problems 2022-07-2 1 Known planar quadrilateral ABCD, AB+BD2022-06-08: As shown in the figure, in quadrilateral ABCD, ∠ A+∠ C = 6544. BD bisection ∠ AB=AC. Verification: DC = AD.20 19-03-04 is in the plane quadrilateral ABCD, ADC = 90, A = 45, AB=2, BD = 5. 1992065438. Verification: quadrilateral 6820 1 1-09-29 is shown. In quadrilateral abcd, BC > AB, AD = DC, if ∠ A+∠ C = 180. Verify the bisection angle of bdabc282012-08-15. As shown in the figure, the quadrilateral ABCD, ∠ABC = 90°, BC > DP⊥AB,BD bisects ∠ ABC, ∠ ADC = 90. Explain ad = dc22016-11-04. As shown in the figure, it is known that the quadrilateral ABCD is a parallelogram, p and q are two points on the diagonal BD, and AP∨QC. If the area of quadrilateral ABCD is 36, find the length of DP. 8 More similar questions? & gt recommended for you: F.context('cmsRight', [{'URL':'/d01373f082025aaf511aa256e9edab64034f1a07? x-BCE-process = image % 2f resize % 2Cm _ lfit % 2Cw _ 450% 2Ch _ 600% 2c limit _ 1% 2f quality % 2Cq _ 85% 2f format % 2Cf _ auto '，' contractId':'A24KA00562 '，}，{ ' URL ':/s？ word = % E6 % AC % A7 % E6 % B4 % B2 % E6 % 9D % AF & sa = searchpromo _ ozb _ zhidao _ tuijian '，' src ':'/3 BF 33 a 87 e 950352 AAF 5 df 4954 143 fbf2b 2 1 18 b6b？ x-BCE-process = image % 2f resize % 2Cm _ lfit % 2Cw _ 450% 2Ch _ 600% 2c limit _ 1% 2f quality % 2Cq _ 85% 2f format % 2Cf _ auto '，' contractId ':' '，}])； Why is the cost of cancer treatment getting higher and higher? What impact will the "network toilet" have? The price of electric cars has dropped many times. Is the quality guaranteed? Is Huaqiang North's second-hand mobile phone reliable? I recommend f.context ('recbrand', [{"img": "\/86D6277F9E2F07083523F69DFB 24B 899A901F20d? x-BCE-process = image % 2f resize % 2Cm _ lfit % 2Cw _ 450% 2Ch _ 600% 2c limit _ 1% 2f quality % 2Cq _ 85% 2f format % 2Cf _ auto "，" url":"/hm.js？ 6859 ce 5a af 00 FB 00387 e 6434 E4 FCC 925 "； var s = document . getelementsbytagname(" script ")[0]； s.parentNode.insertBefore(hm，s)； })(); window . TT = 17 19725408；