名校
1 . 已知函数
.
(1)求函数
的单调递增区间和最小正周期.
(2)若当
时,关于
的不等式
__________,求实数
的取值范围.请选择①和②中的一个条件,补全问题(2),并求解.其中,①有解;②恒成立.
注:若选择两个条件解答,则按照第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/816b60d5034f6899b30aeab1e51ecdfe.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db64b3a1fb036b1e15ecc1420f008013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
注:若选择两个条件解答,则按照第一个解答计分.
您最近一年使用:0次
2024-01-12更新
|
713次组卷
|
3卷引用:甘肃省白银市靖远县第四中学2023-2024学年高一上学期1月期末考试数学模拟试题
2 . 下列结论正确的是( )
A.![]() |
B.若圆心角为![]() ![]() ![]() |
C.与![]() ![]() |
D.若角![]() ![]() |
您最近一年使用:0次
解题方法
3 . 如图,点
为锐角
的终边与单位圆的交点,
逆时针旋转
得
逆时针旋转
得
逆时针旋转
得
,则点
的横坐标为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aa20834c431fec3e470b0debed44b2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f88ec2dbad3fa6208c0493291e5ccdcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cdff4225047ca61dc256c27f1a79215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2277a511ec848c165d173ca8a90858cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9123b1c8cb0bbaca44e8464bee03678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4021d8c07cc5a3884fddce56f1f6cb87.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/e838e0f6-a3b0-4ea4-a21e-a0b333c133ec.png?resizew=161)
您最近一年使用:0次
4 . 某地欲修建一个
的长方形休闲广场,如图所示,场地上、下两边要留
空白,左、右两侧要留
空白,为节约用地,应选用怎样尺寸的长方形用地?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/154a32fc8daf5e9ccb6ca6332d13f6b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6244c4be2c661dc2166885d65bbad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f328ba89c0a92a4447788b65571f7aa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/37e2db97-4add-4ff1-9d0f-444eac27757b.png?resizew=80)
您最近一年使用:0次
2024-01-08更新
|
165次组卷
|
2卷引用:甘肃省白银市靖远县第四中学2023-2024学年高一上学期1月期末考试数学模拟试题
5 . 某校学习兴趣小组通过研究发现形如
不同时为0
的函数图象可以通过反比例函数的图象平移变换而得到,则对于函数
的图象及性质,下列表述正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ed1b766e6f686cfb82cf5c57c5858a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/100fd3461a4efa35563dd4e58f3f35b9.png)
A.图象上点的纵坐标不可能为1 |
B.图象关于点![]() |
C.图象与![]() |
D.函数在区间![]() |
您最近一年使用:0次
6 . 已知
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40569550b300720bd9b5aa2c41424744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dcd119246bdef57abce103f09f208c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知函数
在区间
上有且仅有一个零点,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d887e1c17f1f11a9c67483adcfafea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3850adecb50021d747388305649ba35c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
8 . 已知函数
(
为常数,
且
),且
.
(1)求
的值;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5ae19b5f223e26b484f0262e840a1fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241553167658572549705dda8cd7c207.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
您最近一年使用:0次
解题方法
9 . 已知抛物线
的焦点为
,准线为
,点
是直线
上的动点.若点
在抛物线
上,且
为坐标原点,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6fab0ff7724776ae54f4559a49876ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/497305c01377ab7a342e29247b80ac17.png)
您最近一年使用:0次
解题方法
10 . 定义在区间
上的函数
,对任意
,都有
,且当
时,
.
(1)求
的值.
(2)证明:
为偶函数.
(3)求解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff68d7374e6f548d902f18ed6b6e8c3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6629a0a419062fd4e9d1b7672d4e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a30d0fed389a86e8a6645ccd6179cef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d5a0e25aebe1cc182d2247ed344652.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/513c51123a0c16953df6a15911937d95.png)
您最近一年使用:0次
2024-01-04更新
|
417次组卷
|
2卷引用:甘肃省白银市靖远县第四中学2023-2024学年高一上学期1月期末考试数学模拟试题