Renovation scheme of changing property flower beds into fountains

(1) in the right angle △AO2M, AM= 10sinθ, O2M= 10cosθ, then AD=20cosθ+ 10,

So the area of rectangular ABCD s = 20 sin θ (20 cos θ+10) = 200 (2 sin θ cos θ+sin θ), …(4 points)

Let f(θ)=2sinθcosθ+sinθ, 0 < θ≤π 3,

Then f' (θ) = 2cos2θ+cos θ = 4cos2θ+cos θ-2,

Let f'(θ)=0 and get cos θ = 33? 18. let cos θ 0 = 33? 18, 0 < θ 0 ≤π 3, the list is as follows:

θ (0, θ0) θ0 (θ0, π3)f'(θ)+0 -f(θ) ↗ Maximum ↘ So when θ=θ0, that is, AB = 530+2332, the area of rectangular ABCD is the largest ...

(2) According to (1), the fountain area is s = 20sinθ (10cosθ+4) =100sin2θ+80sinθ,

According to θ∈[π6, π4] and 2θ∈[π3, π2], the function g(θ)= 100sin2θ+80sinθ is monotonically increasing.

So S∈[503+40, 100+40] praised it and stepped on it. 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 has not been solved, please describe your problem in detail and provide free professional consultation through Baidu Law Professional Edition. Other similar issues 2016-127 Jiangsu province 18 sports meeting will be held in Xuzhou on September 20 14. In order to make Xuzhou bluer and more beautiful,> recommends it for you: F.context('cmsRight', [{'URL':'/d01373f082025aaf51aa256e9edab64034f/kloc-. 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 19382482；