名校
1 . 设定义在
上的函数
,则不等式
的解集是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ead3fdcb8fe8f5eb3dbe7d96cabc28b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa90928d2b99c10f86cd472b590e579f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df9850dfbd2bab54356612470fda2e1b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知函数
为奇函数,且
,当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c09c5c89b0c2a92f8c4b70e69b0eada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6fd660dd8bdcb76921fd72436d8f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4e0015bbadab05308e3de499b37799.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() | D.![]() |
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3 . 已知函数
.若过点
可以作曲线
三条切线,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e661c740d0c0df21ba11eb63c38d4372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c61e9dc54276e26c36d01f11f1f4b7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 如图,已知椭圆
(
)的左,右顶点分别为
,
,椭圆的长轴长为4,椭圆上的点到焦点的最大距离为
,
为坐标原点.
的方程;
(2)设过点
的直线
,
与椭圆分别交于点
,
,其中
,证明:直线
过定点,并求出定点坐标;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab46ea0cba2d06283fae3d864a2329e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e511d8ecf566c5c0730bbe6be0d6347c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800c5e266b4ad8462a46970f0a232d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f46b053f98b1d05a2043e94eeaefea87.png)
![](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/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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解题方法
5 . 记等差数列
的前
项和为
,已知
,且
.
(1)求
;
(2)若对于任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86fc336b4a83bf6d66c4afcc431597f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc867f18403bdac78525e35c31dec8c7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
(2)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf32dbdd19b75bd2d2820ebad493f2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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6 . 已知
,函数
恒成立,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/956bbc2b19602b1fb455f546f2d7d5d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf9ed06af8ff5425bb6193c1d105fadb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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7 . 已知函数
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83016b99d34982a8d22712640d5c28f3.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c90ecd2d344e7b1c5ac463f9c9b53a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83016b99d34982a8d22712640d5c28f3.png)
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8 .
的单调递减区间为_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/847fdabe1ef704a87347d2d2fb46657c.png)
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9 . 衡阳五一期间某服装店每天进店消费的人数每天都在变化,设第
天进店消费的人数为y,且y与
(
表示不大于
的最大整数)成正比,第1天有15人进店消费,则第2天进店消费的人数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75773de43aa4e07a08c41f21fb1cae4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d0b0567d74a3f28ac036344745b08bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7054b4cdb50f283d6db90ab1a7ad877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.15 | B.16 | C.17 | D.18 |
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10 . 已知
,则
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e13f9868c788bcf46a1bdd1ede36003.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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