《天问》是战国时期诗人屈原创作的一首长诗,全诗问天问地问自然,表现了作者对传统的质疑和对真理的探索精神。我国探测飞船“天问一号”发射成功飞向火星,屈原的“天问”梦想成为现实,也标志着我国深空探测迈向一个新台阶。如图所示,“天问一号”经过变轨成功进入近火圆轨道,其中轨道1是近火圆轨道,轨道2是椭圆轨道,轨道3是圆轨道。已知火星的质量为
M , 火星的半径为
R , 轨道3的半径为
r , “天问一号”质量为
m , 引力常量为
G , 下列说法正确的是( )
![](http://tikupic.21cnjy.com/2024/04/11/7e/d3/7ed338266038beafeabcaa91ba40f835.png)
- A、“天问一号”在轨道3上线速度保持不变
- B、“天问一号”在轨道2上经过A点时的线速度为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmsqrt%3E%3Cmrow%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi%3EG%3C%2Fmi%3E%3Cmi%3EM%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmi%3Er%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmsqrt%3E%3C%2Fmath%3E)
- C、“天问一号”在轨道2上的周期为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmsqrt%3E%3Cmrow%3E%3Cmfrac%3E%3Cmrow%3E%3Cmsup%3E%3Cmrow%3E%3Cmtext%3E%CF%80%3C%2Fmtext%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3Cmn%3E%28%3C%2Fmn%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmi%3ER%3C%2Fmi%3E%3Cmsup%3E%3Cmrow%3E%3Cmn%3E%29%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3E2%3C%2Fmn%3E%3Cmi%3EG%3C%2Fmi%3E%3Cmi%3EM%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmsqrt%3E%3C%2Fmath%3E)
- D、“天问一号”在轨道2上从B点到A点的过程中,克服引力做功为
![](https://math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmfrac%3E%3Cmrow%3E%3Cmi%3EG%3C%2Fmi%3E%3Cmi%3EM%3C%2Fmi%3E%3Cmi%3Em%3C%2Fmi%3E%3Cmn%3E%28%3C%2Fmn%3E%3Cmi%3Er%3C%2Fmi%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmi%3ER%3C%2Fmi%3E%3Cmn%3E%29%3C%2Fmn%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmsup%3E%3Cmrow%3E%3Cmi%3ER%3C%2Fmi%3E%3C%2Fmrow%3E%3Cmrow%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmfrac%3E%3C%2Fmath%3E)