Then the included angle between PC and AD is ∠ PCB.
Is it because of DA⊥AB? BC⊥AB and PA⊥ plane ABCD,
So BC⊥ plane ABCD has ∠ PBC = 90.
Because PB=PA2+AB2=23 and BC=2,
So tan∠PCB=PBBC=3, then ∠ PCB = 60.
That is, the angle between PC and AD is 60.
Solution 2: Take A as the origin, straight line AB as the X-axis, straight line AD as the Y-axis and straight line AP as the Z-axis, and establish a spatial rectangular coordinate system.
So if there are P (0 0,0,2) and C (22 22,2,0), then there are PC = (22 22,2, -2) and AD = (0, 1, 0).
Then the angle θ formed by the out-of-plane straight line PC and AD satisfies cosθ=|PC? AD||PC|？ |AD|= 12，
So the angle between PC and AD is 60.
(2) Solution 1: From the condition, q is QF⊥AB, vertical foot is f, and PF is connected.
So there is AD∨QF, so the included angle between PQ and AD is ∠ PQF = 60.
In the plane ABCD, a plane rectangular coordinate system is established with A as the origin, straight line AB as the X axis and straight line AD as the Y axis. Set the moving point Q(x, y),
Then |PF|=PA2+AF2=4+x2.
And QF⊥ aircraft PAB, so qf ⊥ pf.
So | qf | =| y| =| pf | tan 60 = 4+x23,
That is, 3y2-x2 = 4.
Therefore, it can be determined that curve e is a hyperbola.
(2) Solution 2: As shown in the figure, take A as the origin, straight line AB as the X axis, straight line AD as the Y axis, and straight line AP as the Z axis to establish a spatial rectangular coordinate system.
Let Q(x, y, 0), p (0 0,0,2), d (0, 1, 0),
Then PQ=(x, y, -2) and AD = (0, 1, 0).
Shit, PQ? AD= |PQ|？ | I've praised it all and stepped on it. What is your evaluation of 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 questions 20 17-09-06(20 14? As shown in the figure, in the quadrangular cone P-ABCD, the bottom ABCD is a right trapezoid with ad∑BC and ad > bc = 90, and the plane PAD⊥ bottom ABCD 62012-04-021. As shown in the figure, in the quadrangular cone, 420 13-05-3 1 As shown in the figure, in the quadrangular cone P-ABCD, PA⊥ plane ABCD, bottom ABCD is a right-angled trapezoid, ∠ ABC = ∠ bad = 90 220/kloc. ∠ CDA =∠ bad = 9012013-05-16, as shown in the figure, in the quadrangular cone p-ad∨BCD, PA⊥ plane ABCD, PA=AB, the bottom ABCD is ∠ bad = 90, PA⊥ ABCD, and P92011-02-14. It is known that the quadrangular cone P-ABCD,PA⊥ plane ABCD, the bottom ABCD is a right-angled trapezoid, and ∠ A = 90. & 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 ':' '，}])； The price of electric cars has dropped many times. Is the quality guaranteed? What impact will the "network toilet" have? Is Huaqiang North's second-hand mobile phone reliable? Why is the cost of cancer treatment getting higher and higher? 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 = 17200 14694；