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Zhabei District Senior Three Mathematics Module 2
(1)∫ The image of the quadratic function y=ax2+4 intersects the y axis at point C,

The coordinate of point ∴c is (0,4),

∫ The image of quadratic function y=ax2+4 intersects with X axis at point A, cos∠CAO=22,

∴∠CAO=45,

∴OA=OC=4,

∴ The coordinate of point A is (-4,0),

∴0=a(-4)2+4,

∴a=- 14,

∴ The analytic formula of this quadratic function is y =-14x2+4;

(2) Connect OD so that it is DE∨Y axis, X axis is at point E, DF∨X axis and Y axis is at point F, as shown in figure 1.

⊙O is tangent to the straight line AC at point d,

∴OD⊥AC,

OA = OC = 4,

Point d is the midpoint of AC,

∴de= 12oc=2,df= 12oa=2,

∴ The coordinate of point D is (-2,2);

(3) The analytical formula of the straight line OD is y=-x, as shown in Figure 2.

Then the analytical formula of the straight line passing through point A and parallel to line OD is y=-x-4,

Solve equation y =? x? 4y=? 14x2+4,

Eliminate y to get x2-4x-32=0, that is, (x-8)(x+4)=0.

∴x 1=8, x2=-4 (excluding),

∴y=- 12,

∴ the coordinate of point P 1 is (8,-12);

The analytical formula of straight line AC is y=x+4,

Then the analytical formula of the straight line passing through point O and parallel to straight line AC is y=x,

Solve the equation y = xy =? 14x2+4,

If you subtract y, you get x2+4x- 16=0, that is, x=-2+2 is 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 has not been solved, please describe your problem in detail and consult other similar problems free of charge through Baidu law Pro 2011-02-01. It is known that the image of quadratic function y=f(x) intersects with X axis at points A and B, and |AB|=2√3, which is related to Y, as shown in Figure 2820 12-02-27. It is known that the image of quadratic function y =-x 2+bx+3 intersects with X axis A(4, 0) the image intersecting at point b1442013-08-09+bx+c (a ≠ 0) intersects with X axis at point A and B, and intersects with Y axis at point C at 69201-. As shown in the figure, the quadratic function Y=ax is known. The image of +bx+3 intersects with the X axis at points A and C, and intersects with the Y axis at points B (-9/4,0) and △ AOB ∽△ BOC182014-03-13. As shown in the figure, the quadratic function Y = AX+bx+C. According to 220 14-02-05, the image of the quadratic function y=x2+bx+c intersects with the X axis at points A and B, where the coordinate of point A is (-3,0) and the intersection with the Y axis is 4820/kloc-0. The image of +bx+c intersects with the Y axis at point C (0,4) and the X axis intersects with point A, and point B (4037 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 ':' ',}]); Is Huaqiang North's second-hand mobile phone reliable? 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? 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 = 1720054782;