名校
解题方法
1 . 已知函数
的定义域为R,
为偶函数,
,当
时,
(
且
),且
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc061fc3c403891f9c272668494cd27.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee798afc6ca1bbee1f324fc7e0abafd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27457087fb3ac51c51b0dfd9aca902d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7d2bb9fd6de312a742ef10c81b9b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f53a272908d3f7acf903c44f3b46f7d7.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/489a78ea2744ad41de7dec5215370117.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc061fc3c403891f9c272668494cd27.png)
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解题方法
2 . 已知函数
的零点在区间
内,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72edd791df86573f5780c4abe6119c35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc7040bf60c9793a15a3c97b701add89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
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3 . 已知函数
的周期为
,图象的一个对称中心为
,将函数
图象上的所有点的横坐标伸长为原来的2倍(纵坐标不变),再将所得图象向右平移
个单位长度后得到函数
的图象,则函数
的解析式为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26e837e4a21c799dcac2141289a1c23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0210d1c03f8d237737a007dd23297fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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名校
解题方法
4 . 已知定义在
上的函数
,满足
,函数
的图象关于点
中心对称,且对任意的
,
,不等式
恒成立,则不等式
的解集为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fceb969de98e32f56f9610c213823489.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c09c5c89b0c2a92f8c4b70e69b0eada.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2a5e336b6bcba6354fd366c892dd06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fd7af568e3d9f444beb0ff41426477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e1b2fc3d27f0953c953a4cbad2c199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c0b10c4902b1060cfea409697df9a6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
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名校
5 . 下列函数
,满足对定义域内的任意
,都有
成立的有___________ .
①
; ②
;
③
; ④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca0f446e10b08fb220272572f62db6e9.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d01cb00904ee16178c7c35d7e0a8d3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787c2e85b77a019736904b284d6e8017.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc873fc03e6e4d3c4ba02f8b1147b20.png)
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6 . 直线
过点
,则直线
与
轴正半轴、
轴正半轴围成三角形面积的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/170cf2cc33dae91cd546e15f4683330d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115a0c87ac14dbb770c95d74d6e26073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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名校
解题方法
7 . 在
中,内角
的对边分别为
,已知
是
和
的等比中项.则
的取值范围为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55ad55f7f3af6a39ff22b8e5f0ee5291.png)
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解题方法
8 . 已知函数
若实数
满足
则
的最大值为________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed1711a7d845db2b3ae88134253c700f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ea48f7da94a2ea147bc9c6f2268096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
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名校
9 . 若关于x的方程
在
上有两个不等实根,则实数a的取值范围是__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b0c98319a3a4569b434a8e8c25f058.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c379fbe9c98ce86abfe9251b0d4f44b.png)
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2023-12-27更新
|
1290次组卷
|
2卷引用:四川省宜宾市叙州区第一中学校2023-2024学年高一上学期12月月考数学试题
名校
10 . 已知
都是正数,且直线
与直线
平行,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee69fc5bd7de89b44913378caa38d52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/909e6f55e045d730efd433ea4105ac6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/547b5d4315e2130fa53173e53e28d0ff.png)
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