∴∠ 1+∠2= 180 -90 =90 ,

∫∠C = 90，

∴∠2+∠E= 180 -90 =90，

∴∠ 1=∠E，

∫ In △ Abd and △CEB,

∠ 1=∠E∠A=∠C=90 AD=BC，

∴△ABD≌△CEB(AAS)，

∴AB=CE，

∴ac=ab+bc=ad+ce；

(2)(i) As shown in the figure, QF⊥BC in F passes through point Q,

Then △BFQ∽△BCE,

∴BFBC=QFCE，

That is BF3=QF5,

∴QF=53BF，

∵DP⊥PQ，

∴∠APD+∠FPQ= 180 -90 =90，

∫∠APD+∠ADP = 180-90 = 90，

∴∠ADP=∠FPQ，

∠∠A =∠PFQ = 90，

∴△ADP∽△FPQ，

∴ADPF=APQF，

Is that 35? AP+BF=APQF，

∴5AP-AP2+AP？ BF=3？ 53BF，

After sorting, (AP-BF)(AP-5)=0,

Point p does not coincide with points a and b,

∴AP≠5，

∴AP=BF，

From △ADP∽△FPQ, DPPQ=APQF.

∴dppq=35；

(2) The path (line segment) passed by the midpoint of line segment DQ is the median line Mn of △BDQ.

According to (2)(i), QF=53AP. ..

When point P moves to the midpoint of AC, AP=4, ∴ QF = 203.

∴BF=QF×35=4.

In Rt△BFQ, according to Pythagorean theorem, BQ= praised and trampled. 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 2014-01-21(2013? Chengdu) as shown in the figure, point B is on the line segment AC, point D and point E are on the same side of AC, ∠ A = ∠ C = 90, BD⊥BE, ad7082014-03-23 (201/kloc-0. 6? Chengdu (1) As shown in the figure, it is known that line segments AB∨CD, AD and BC intersect at point K, and E is a fixed point on line segment AD. 5920 16- 12-0 1 (20 14? Chengdu) as shown in the figure, in the inscribed △ABC of ⊙O, ∠ ACB = 90, and AC=2BC, the vertical line L passing through C as AB intersects ⊙O at another point D, and falls at e.252014-03-1. Chengdu) As shown in the figure, AB is ⊙O in diameter, point C is on the extension line of AB, and CD cuts ⊙O to point D to connect AD. If ∠ A = 25, then ∠ C = _ _ _1020165438. (as shown in the figure, 292020-03- 14, in △ABC, AC=BC, ∠ ACB = 90, D is a point within △ABC, ∠ Bad = 15, ad=AC, CE⊥AD is in. 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? Baidu legal pro-free legal service recommends super 3w professional lawyers, 24-hour online service, with an average of 3 minutes to reply to free appointments. Online lawyers guide professional lawyers to complete one-on-one communication at any time, waiting for your answer? Change and help more people? Download Baidu Know APP and grab a fresh experience. Know the APP with Baidu and grab a fresh experience immediately. There may be answers that others want to know in the camera of your mobile phone. Scan QR code to download illegal and harmful information about personal and corporate infringement complaints. Please select and submit a category below.

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