1 . 设
,且
,若
,则
的值___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0c5e972dd30f59425963ef568b5e7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc3ffc0affbb5311cffa81936004a8e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292e6cef540885a0b3f6f98f3d716a80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/853c0c03aa9086e9e6c53eb2af7f2d7d.png)
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2 . 设z为复数,若方程
表示一条圆锥曲线,则此曲线的离心率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f9b19dfc40f5ac92d489480c488a211.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ba0faf86eda36bf50a0725d1d52722a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f9b19dfc40f5ac92d489480c488a211.png)
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3 . 已知二面角
的平面角为
,A,D为直线l上的两点,射线
在平面
内,射线
在平面
内,已知
,则
等于___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc4e18d1ac4f5119845b3ee4e8fd3a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0860834d28d02fd66a5235671348b92b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c9121cede0ee0562e23b8a26b34616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3217fa687c8a339e86fc482c826e2edf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a096cc7ad0625b68858eb7549986d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9520604dc21bc8d5a6f4659725cecaec.png)
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4 . 已知椭圆
的左右焦点为
,点P在直线
上,当
取最大值时,
的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03ec15606e83f0193fae69964aaec745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b799737e84f54908b8700fbaf1f96a80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c18718d9550e3a2bc579d41f6de831.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a436c08117d943c2e3b32cc68b6147b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f24706bfc6eaa501211e3c0d4e184805.png)
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5 . 设a,b都是正整数,且
,则
的个位数字是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3885147f2949fc1ebc203790a3f7a122.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
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解题方法
6 . 已知数列:
,
,那么
是该数列的第____________ 项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70ae4585684b63c05eadcab9cb74efae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/755e195eaba54c4f76b2a9c2978fd037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/033e5735ed3f2544a2d4e95fd19227f9.png)
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2020-05-11更新
|
305次组卷
|
2卷引用:2019年全国高中数学联赛新疆维吾尔自治区预赛
7 . 已知x、y、z是正数且满足
.则x+y+z+xy=____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8013437e08998ab19ae94c5c46dc1aed.png)
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解题方法
8 . 设
且
,其中
为最简分数,则m+n=____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f37449871ee32d58398483063f9eaad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b34457cce4960442db6a4301911801d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0be44077d42cfffece905b1af13e000.png)
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9 . 设n为正整数.若1+2+…+n的和恰好等于一个三位数且该三位数的每个数字均相同,则所有可能的n值为____________ .
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10 . 在
中,
的对边分别为
若
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afde09d82ae96f00c135732baee64776.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b23beb7fa35ed321584f95c7507b8b78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbf1e7afe47ce8dc14f7d71be34257be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1ba07e7a73d022b99743224c61a745.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afde09d82ae96f00c135732baee64776.png)
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