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1 . 第三届中国国际进口博览会的建筑主体为“四叶草”造型,“四叶草”是绿色的有生命力的象征,其优美的曲线与江南地区海派文化的优雅唯美气质相应和,表达了中国对未来经济持续发展、人民生活富裕的美好向往;“四叶草”作为世界通用的吉祥图形,四瓣叶子分别寓意着“至爱、健康、荣誉、富裕”,整体带有吉祥、和谐的意义如图,在极坐标系
中,方程
表示的图形为“四叶草”对应的曲线
.
![](https://img.xkw.com/dksih/QBM/2021/1/23/2642464959455232/2645184517480448/STEM/035f3232b05142e1aa6e833bc6c07a9d.png?resizew=281)
(1)设直线
与
交于异于
的两点
,
,求
、
两点的极坐标;
(2)设
、
是
上异于
的两点,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f8f685b56af9fc76e315da7c3e6cc16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/2021/1/23/2642464959455232/2645184517480448/STEM/035f3232b05142e1aa6e833bc6c07a9d.png?resizew=281)
(1)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b40fda49a8cf8e67d69014a8ed36099b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
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2021-01-27更新
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2卷引用:贵州省盘州市2021届高三第一学期第一次模拟考试理科数学试题