B=(x+3)i+yj and |a|+|b|=4,

The sum of the distances from point P(x, y) to points (3,0) and (-3,0) is 4.

Therefore, the trajectory equation of point P is X24+Y2 = 1.

(2) Let A(x 1, y 1) and B(x2, y2) be obtained according to the meaning of the question. If the equation of straight line AB is y=x+m, it can be substituted into the elliptic equation to get 5x2+8mx+4m2-4=0.

So x 1+x2=-85m, x 1? x2=45(m2- 1)，

The distance from point O to AB is d=|m|2,

Therefore, S△AOB= 12|AB|? d

= 12? ( 1+ 1)[(x 1+x2)？ 2? 4x 1x was 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 has not been solved, please describe your problem in detail and provide free professional consultation through Baidu Law Professional Edition. Other similar problems 2023-04- 15 Let I and J be unit vectors on the X axis and Y axis, respectively, with a=3i-j and b=-i+j? 12011-0/-25 It is known that I and J are unit vectors in the positive direction of X and Y axes. Let vector a=(x root number 3)i+yj and vector B = (X root number 3)i+yj. And let vectors I and J be unit vectors in the positive direction of X axis and Y axis in rectangular coordinate system, let vector A. Vector B = I+(m-1) j25201-12-22 let x, y∈R, i,. Vector AC=3i+4j, find the area of triangle ABC14201-04-24 Let X and Y belong to R, and I and J are unit vectors in the positive direction of X and Y axes in the rectangular coordinate plane. If vector a=xi+(y+ root 2) J, B = & [{ ' URL ':'/d 0 1373 f 082025 AAF 5 1 1aa 256 e 9 edab 64034 f 1a 07？ 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 ':/builder/bjh-activity/articlesTask？ taskId = 1598082 & aside = 0 & footer = true & from = 0 '，' src ':'/203 FB 80 e 7 bec 54 e 773 ea 0680 ab 389 b 504 fc 26 a2d？ 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? The price of electric cars has dropped many times. Is the quality guaranteed? What impact will the "network toilet" have? 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 = 172 1066428；