1 . 如图所示,在柱坐标系中,长方体
的两个顶点的坐标为
,求此长方体的外接球的表面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95628327dc58037e5368f4404c05ec39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b79a14d8e15b2050d56a8f08044c99.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/31/68f6d199-362c-49f6-8296-bc2840016cd4.png?resizew=183)
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2 . 在柱坐标系中,求满足
的动点
围成的几何体的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4043a1cb8957ec14f46e3313c4782417.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8f9773b6b859503f646a5c0f8a350d4.png)
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3 . 在球坐标系中,点
和点
之间的距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbccef793a52895b4fb9fc04fab3f0e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a53f93184a1e5fc3a7c265d87d0865.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-07-04更新
|
390次组卷
|
2卷引用:人教A版 全能练习 选修4-4 第一讲 第四单元 1.柱坐标系+2.球坐标系
4 . 已知点
的球坐标是
,点
的柱坐标为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/932d2d54f97b6eae5ff75032bf587185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5901382eec9b49e13c1e4d32ee25f0bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3143d000a14e2f6c50435f72cb7075c.png)
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5 . 若点
的柱坐标为
,则点
的直角坐标为______ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baedd033c438eeefeb35a4586d40ba3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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6 . A已知直线
的参数方程为
(
为参数),在直角坐标系
中,以
为极点,
轴正半轴为极轴建立极坐标系,圆
的方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a371576f50d8d30f69540f17db7fc003.png)
(1)求圆
的圆心
的极坐标;
(2)判断直线
与圆
的位置关系.
已知不等式
的解集为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2ae37bd7b5d6c379e1f46f0062b9de.png)
(1)求实数
的值;
(2)若不等式
对
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd48f782fcc910fd32865116bfe4193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a371576f50d8d30f69540f17db7fc003.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
(2)判断直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd0d072ce28842bc984cb3cb98bf3aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2ae37bd7b5d6c379e1f46f0062b9de.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a71f319b0ef37eb6e076bc5078e887.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/599b100243599b6dc57c333a829c129f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 选修4-4:坐标系与参数方程
已知直线
的参数方程为
为参数) ,以坐标原点为极点,
轴的正半轴为极轴建立极坐标系,曲线
的极坐标方程为
,直线
过曲线
的左焦点
.
(1)直线
与曲线
交于
两点,求
;
(2)设曲线
的内接矩形的周长为
,求
的最大值.
已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f68601d7ed573347d77c3803431eeaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0618cce0eec3e48b4e82b3e996956a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(1)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ae1567d8f98fabc1a3948f8602cc5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/526253844494fed86429e1390505e0db.png)
(2)设曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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2017-04-05更新
|
782次组卷
|
2卷引用:2017届黑龙江省哈尔滨市第九中学高三二模数学(文)试卷