1 . 水星是离太阳最近的行星,在地球上较难观测到.当地球和水星连线与地球和太阳连线的夹角达到最大时,称水星东(西)大距,这是观测水星的最佳时机(如图1).将行星的公转视为匀速圆周运动,则研究水星大距类似如下问题:在平面直角坐标系中,点A,
分别在以坐标原点
为圆心,半径分别为1,3的圆上沿逆时针方向做匀速圆周运动,角速度分别为
,
.当
达到最大时,称A位于
的“大距点”.如图2,初始时刻A位于
,
位于以
为始边的角
的终边上.
,当A第一次位于
的“大距点”时,A的坐标为______ ;
(2)在
内,A位于
的“大距点”的次数最多有______ 次
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3551176fd3003244122a34612d90113c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c896216c135b8c568a5f0987c23947e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22f9341d51c827a29a4a0b0b3dded16c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c7f579d5017888a314d681fe44db8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/590e165e407098fcac9f871beb047dc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf01af951cc03381ca19150c6fe5364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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名校
2 . 已知
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd98a332a10ebd06de960f119cfff08.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c8693890cc912f4dd9531d8ae597c16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f54b0cd8ac71508d95bb905c12ca0ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd98a332a10ebd06de960f119cfff08.png)
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2019-10-09更新
|
2382次组卷
|
6卷引用:2020届江苏省南通一中高三上学期第一次调研数学试题
名校
3 . 在
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c885e8032706feed854495e0f608aa04.png)
__________ ;点
是
上靠近点
的一个三等分点,记
,则当
取最大值时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/744d824921dbdfe961d73f8296efef84.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48100c63529bb593110ae66734b09700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c885e8032706feed854495e0f608aa04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8bdc3e03070a80146aa2cd3d5594f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/744d824921dbdfe961d73f8296efef84.png)
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2020-10-16更新
|
1031次组卷
|
6卷引用:江苏省徐州市市区部分学校2020-2021学年高三上学期9月学情调研考试数学试题
名校
解题方法
4 . 已知
,
,则正常数p的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2415c3d89908978763619c867d137586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de9048f20b89e3fb41f23de1abf342a.png)
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5 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd6df6196e6e7130608b68892dcb54c6.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/158fc5f9d931e21258ffde2c03004bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd6df6196e6e7130608b68892dcb54c6.png)
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11-12高三上·黑龙江哈尔滨·期末
解题方法
6 . 下列四个命题中,真命题的序号有(写出所有真命题的序号).
①两个相互垂直的平面,一个平面内的任意一直线必垂直于另一平面内的无数条直线.
②圆
与直线
相交,所得弦长为2.
③若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9b3f601916f666f701224f77c4565c.png)
,则
.
④如图,已知正方体
,P为底面内一动点,到平面
的距离与到直线
的距离相等,则点的轨迹是抛物线的一部分.
①两个相互垂直的平面,一个平面内的任意一直线必垂直于另一平面内的无数条直线.
②圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c404c221810c4b661d2dc668f0c4248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d585d2d6643471640905d234d9538c5.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9b3f601916f666f701224f77c4565c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b712bf51f2c93d78ac322e4221c48ab4.png)
④如图,已知正方体
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7253ffd3fc633d861810ee2e872188b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/2011/2/15/1569987875938304/1569987880837120/STEM/50aa33426b344fccaaff5ff6fc74f673.png?resizew=244)
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