您所在的当前位置：高中数学试题 >

平面向量数量积的意义

> （本题满分10分）在平面直角坐标系中，为坐标原点，点，动点满足．（1）求点的轨迹方程；（2）过原点且互相垂直的两条直线和与点的轨迹分别交于、和、，求四边形的面积的取值范围.

问题：

发布时间：2024-09-08

（本题满分10分）
在平面直角坐标系中，为坐标原点，点，动点满足．
（1）求点的轨迹方程；
（2）过原点且互相垂直的两条直线和与点的轨迹分别交于、和、，求四边形的面积的取值范围.

参考答案：

提问用户：Ef***LCo

可能感兴趣的题目：

1 已知函数 f(x)=2sin(2x+ π 6 )+1．（1）求f（x）的最小正周期及振幅；（2）试判断 f( π 6 -x)与 f( π 6 +x)的大小关系，并说明理由．（3）若 x∈[- π 6 ， π 3 ]，求f（x）的最大值和最小值．
2 下列城市属于我国北方沿海航区的是 A.上海 B.湛江 C.海口 D.广州
3 农业优势指数是指某省区的农业产值占该省GDP的比重，其比值越高反映了该省农业实力及其在地区经济中的贡献能力越强，读图，回答问题。小题1:海南省农业优势指数较高的原因是(　　) ①光热丰富，气候资源优势得天独厚 ②运输条件的改善和保险冷藏技术的发展 ③资金雄厚，机械化程度高 ④劳动力素质高，政策的扶持 A．①② B．①③ C．①④ D．③④ 小题2:1990年以来，广东省农业优势指数呈下降趋势，其主要原因是(　　) ①城镇建设占用土地，农业用地减少 ②政策优势下降，生产成本提高 ③环境污染，气候变化导致农业减产 ④农业劳动力向第二、三产业转移 A．①② B．①③ C．①④ D．③④
4 One thing I am certain of is that hard work _______ good results. A．refers to B．contributes to C．sticks to D．devotes to
5 下列现象中不属于机械运动的是 A.流星似剑 B.心潮澎湃 C.海水奔腾 D.一江春水向东流
6 如果 Mg 2+、M、Fe 3+和Cl -四种离子以物质的量之比1：3：2：2共存于同一溶液，那么M可能是（　　） A．CO32- B．NO3- C．OH- D．SO42-
7 李梅计划从大连到青岛旅游，选择最经济的交通运输工具是 A.火车 B.飞机 C.汽车 D.轮船
8 完形填空。 How did you do it, Dad? How have you managed not to take a drink for almost 20 years? It took me almost 20 years to have the 1 to even ask my father this very personal question. When Dad first 2 drinking, the whole family was on pins and needles every time he got into a 3 that, in the past, would have started him 4 again. For a few years we were 5 to bring it up for fear that the drinking would begin again. "I had this little poem that I would recite to myself at least four to five times a day," was Dad"s 6 to my 18-year-old unasked question. "The words were a constant (经常的) 7 to me that things were 8 so hard that I could not deal with them," Dad said. Then he 9 the poem with me. The poem"s 10 , yet profound (深刻的) words immediately became 11 of my daily routine as well. About a month after this 12 with my father, I received a gift in the mail from a friend of mine. It was a book of daily sayings of wisdom with one 13 for each day of the year. It has been my 14 that when you get something with days of the year on it, you naturally turn to the page that lists your own 15 . I 16 opened the book to November 10 to see 17 words of wisdom this book had in store for me. I was 18 when I looked at the page, and then tears of disbelief and appreciation 19 down my face. There, on my birthday, was the exact same poem that had 20 my father for all these years! It is called the Serenity (平静) Prayer: God, grant me the serenity to accept the things I cannot change; the courage to change the things I can; and the wisdom to know the difference. ( )1. A. chance ( )2. A. gave up ( )3. A. way ( )4. A. reciting ( )5. A. sure ( )6. A. reply ( )7. A. fear ( )8. A. never ( )9. A. discuss ( )10. A. wonderful ( )11. A. all ( )12. A. talk ( )13. A. listed ( )14. A. method ( )15. A. character ( )16. A. doubtfully ( )17. A. where ( )18. A. excited ( )19. A. hung ( )20. A. troubled B. courage B. took up B. habit B. asking B. uncertain B. words B. imagination B. seldom B. shared B. long B. that B. quarrel B. included B. experience B. birthday B. carefully B. whether B. astonished B. pulled B. disturbed C. ability C. went on C. situation C. smoking C. afraid C. excuse C. thought C. always C. offered C. simple C. any C. trip C. read C. wealth C. qualities C. happy C. what C. disappointed C. rolled C. pleased D. right D. carried on D. house D. drinking D. eager D. explanation D. reminder D. ever D. said D. boring D. part D. lesson D. said D. message D. favorites D. hurry D. how D. frightened D. pushed D. helped
9 ( 10分)“84消毒液”与硫酸溶液反应可以制取氯气（NaClO+ NaCl+H 2SO 4 Na 2SO 4 + Cl 2↑+H 2O）为探究氯气的性质，某同学利用此原理制氯气并设计了如下所示的实验装置（1）从①、②、③装置中选择合适的制气装置（A处）___________ (填写序号)。（2）装置B、C中依次放的是干燥的红色布条和湿润的红色布条，实验过程中该同学发现装置B中的布条也褪色，其原因可能是__________说明该装置存在明显的缺陷，请提出合理的改进的方法_______________________________ （3）为了验证氯气的氧化性，将氯气通Na 2SO 3溶液中，写出氯气与Na 2SO 3溶液反应的离子方程式 ______________________________________ （4）氯气通入饱和NaHCO 3溶液能产生无色气体，已知酸性:盐酸>碳酸>次氯酸，该实验证明氯气与水反应的生成物中含有 __________________________
10 — _____ it is to learn cooking in a British family! — Yes, I can"t agree more. [ ] A. How fun B. How funny C. What fun D. What a fun

（本题满分10分） 在平面直角坐标系 中， 为坐标原点，点 ，动点 满足 ． （1）求点 的轨迹方程； （2）过原点 且互相垂直的两条直线 和 与点 的轨迹分别交于 、 和 、 ，求四边形 的面积 的取值范围.

可能感兴趣的题目：

（本题满分10分）
在平面直角坐标系中，为坐标原点，点，动点满足．
（1）求点的轨迹方程；
（2）过原点且互相垂直的两条直线和与点的轨迹分别交于、和、，求四边形的面积的取值范围.