1 . 已知点
,
直线
过点
,且与线段
相交,则直线
的斜率的取值
范围是
![](https://img.xkw.com/dksih/QBM/2015/10/27/1572266719952896/1572266725662720/STEM/a6737c18fc3b4ebbbc6132c779541cb8.png)
![](https://img.xkw.com/dksih/QBM/2015/10/27/1572266719952896/1572266725662720/STEM/23dd9e73f3424be88eed1ca436425022.png)
![](https://img.xkw.com/dksih/QBM/2015/10/27/1572266719952896/1572266725662720/STEM/3421bbdbb426400a8d562006683d5594.png)
![](https://img.xkw.com/dksih/QBM/2015/10/27/1572266719952896/1572266725662720/STEM/459d54dae09b4931a2e31215f6dbf2c7.png)
![](https://img.xkw.com/dksih/QBM/2015/10/27/1572266719952896/1572266725662720/STEM/2b5b758951fd49c4b5dcca94d21aaaeb.png)
![](https://img.xkw.com/dksih/QBM/2015/10/27/1572266719952896/1572266725662720/STEM/3421bbdbb426400a8d562006683d5594.png)
![](https://img.xkw.com/dksih/QBM/2015/10/27/1572266719952896/1572266725662720/STEM/5aa6cf0985a048b5ac3ae42cf5018a26.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2016-12-03更新
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2卷引用:2015-2016学年黑龙江大庆实验中学高二上学期开学考试理科数学试卷
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2 . 函数
满足:
①
;②在区间
内有最大值无最小值;
③在区间
内有最小值无最大值;④经过![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2dc7ab75e42014b918d8b386c151d95.png)
(1)求
的解析式;
(2)若
,求
值;
(3)不等式
的解集不为空集,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f63609491e4b1253d7991b8664bb61fb.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7383106c16da2c8dc5a6ac9b02a56a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d21b50b4e302c90cca3c8f8a46e95274.png)
③在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04f5684d862b1be1f8883838fa93b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2dc7ab75e42014b918d8b386c151d95.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0c4d2e38107d9a34866e00ae77c559.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8812e1b35d1bc43515ff6166e6fc49ac.png)
(3)不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba15c96e5ebe3cd4e094cbb6d0edcb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 已知二次函数
满足
且
.
(1)求
的解析式;
(2)若方程
,
时有唯一一个零点,且不是重根,求
的取值范围;
(3)当
时,不等式
恒成立,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c292ad5ab432ba87d945d952ae84d2b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eb2613dda00677d447c986cac505bc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdcb20fdc8bab941d857045172f20a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/132d41feaf28a5d96470d23780262b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7a07624cc738da030ed9f2ca79e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
4 . 已知双曲线
的左右焦点分别为F1,F2,若C与直线
有交点,且双曲线上存在不是顶点的P,使得
,则双曲线离心率取值范围范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c99e863b732603c0ba20d368840c522.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8345049093e5b7b664bbed64fe7ea1b.png)
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黑龙江省哈尔滨市哈工大附中校2023-2024学年高二下学期开学考试数学试题湖北省高中名校联合体2022-2023学年高三下学期开学诊断性考试数学试题安徽省马鞍山市第二中学2022-2023学年高二下学期开学考试数学试题湖南省长沙市雅礼中学等十六校2022届高三下学期第二次联考数学试题(已下线)押新高考第15题 双曲线-备战2022年高考数学临考题号押题(新高考专用)江西省抚州市第一中学2022-2023学年高二下学期第一次月考数学试题安徽省亳州市蒙城第一中学2023届高三下学期最后一卷(三模)数学试题广东省广州市中山大学附中2024届高三上学期第一次调研数学试题安徽省六安市毛坦厂中学2023-2024学年高二上学期期末模拟数学试题(四)
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5 . 已知函数
.
(1)当
时,若方程式
在
上有解,求实数
的取值范围;
(2)若
在
上恒成立,求实数
的值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5869020b4e380d208e706c564bde2770.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a05a299e93891837f2706a82a3650305.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad42625f296d2a4b65180e2f7b776beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee4f0643ea23ef34752af491ba7c416b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 在平面直角坐标系
中,抛物线
与
轴交于点
,抛物线
的顶点为
,直线
.
(1)当
时,画出直线
和抛物线
,并直接写出直线
被抛物线
截得的线段长;
(2)随着
取值的变化,判断点
,
是否都在直线
上并说明理由;
(3)若直线
被抛物线
截得的线段长不小于2,结合函数的图象,直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d2292b9b81580718770d52fa7d9670e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de14c98dff0e1fb25a27c92e3f35a0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/5/1d269f71-365e-45f4-9193-fb01e02f6f94.png?resizew=203)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(2)随着
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
7 . 在数学中,双曲函数是与三角函数类似的函数,最基本的双曲函数是双曲正弦函数与双曲余弦函数,其中双曲正弦:
,双曲余弦:
.
(
是自然对数的底数,
)
(1)解方程:
;
(2)求不等式:
的解集;
(3)若对任意的
,关于
的方程
有解,求实数
取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf294fc60a49eb58126323c82e1dd21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebdfb15738af159d78713243cf54761f.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dcd143a57a268a5a8ef486e2a4d5c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0cc202753558c28d925d782b27198a.png)
(1)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01958f2959a7fa4a86d8b25058ccb1ba.png)
(2)求不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3595ee8f11354af3e41cd2ea9b17675.png)
(3)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec84ddce00aed792519cf7919bfeced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b3d6370f14c917f5b3e58a489e279c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-03-19更新
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4卷引用:黑龙江省大庆铁人中学2023-2024学年高一下学期开学考试数学试题
黑龙江省大庆铁人中学2023-2024学年高一下学期开学考试数学试题上海市(进才、复旦附中分校等校)四校联考2023-2024学年高一上学期12月月考数学试卷(已下线)专题04 指数函数与对数函数3-2024年高一数学寒假作业单元合订本2024年贵州省观山湖第一中学高一年级第二学期5月月考数学试题
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解题方法
8 . 已知
.
(1)若不等式
的解集是
,求实数
的值;
(2)若不等式
对一切实数
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f2b787ef665d187dabc5de53dc5988.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29222c988286929deaf094b25b81174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4178afc00deb5921517dd791da48306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/917c4a069bc0ccd154a97d7f4a9db729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
9 . 已知关于
的不等式
,
.
(1)当
时,求不等式
的解集;
(2)若“不等式
的解集为
”为假命题,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece1b74feedf6b38d6d20638138cc7b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece1b74feedf6b38d6d20638138cc7b1.png)
(2)若“不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ece1b74feedf6b38d6d20638138cc7b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
10 . 设不等式
的解集为
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d82c39cff48d38c043374e2fdb329d.png)
(1)求集合A;
(2)若
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2ee92ae41cb016d185c38d0dede662b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d82c39cff48d38c043374e2fdb329d.png)
(1)求集合A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
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