1 . 已知函数
的图象与直线
有4个不同的交点,则这4个交点的横坐标之和为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cd1f617dfe716b29f129ea8efe531b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b9388950efc21aee04c54a65d0a4a7.png)
A.10 | B.11 | C.12 | D.13 |
您最近一年使用:0次
解题方法
2 . 已知函数
.
(1)当
时,若
,求
的取值范围;
(2)若定义在R上的奇函数
满足
,且当
时,
,求
在
上的函数表达式;
(3)对于(2)中的
,解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc391884cb2d4e69c318015ed1cc5724.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bdcb7a165e76ace36ec1bca0dfef31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若定义在R上的奇函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bd7a1f45776fc5187e58c34fe8e5b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3e46371f310e03a153a1698aad9d4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d1a94ea3c278c2197572cc1b7725b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1417a39c99b1e6b489c7c033a0625af.png)
(3)对于(2)中的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c6f358b09c4ae8dded748ae8f431856.png)
您最近一年使用:0次
3 . 已知集合
,且
,给出下列命题:
①满足
的集合
的个数为
;
②满足
⫋
的集合
的个数为
;
③满足
⫋
的集合
的个数为
;
④满足
⫋
⫋
的集合
的个数为
.
其中正确的是______ .(填上你认为正确的所有命题序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ab20b8212340e97321f421a74de3af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eae51f0310b87cde2e206643e9d25a5.png)
①满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24b70c88f46920bc6c3b0ed8d900f90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aa3ccc967a75d0739e71f8df80b5b76.png)
②满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366749e18358402f70feb02785251caf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c89ae078ee147741e42b344b3d20776b.png)
③满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22882310035db6d3d953e060b0c91733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa3e84efcba619b04bc1a89e68f1c507.png)
④满足
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d67e9f11658eb229c3f75eb3ff71ac23.png)
其中正确的是
您最近一年使用:0次
4 . 设
,若存在常数
使得对于任意的
,都有
满足
,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eac4d6bf066089b2243947dbdb18cf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff83cf36f43fdae2ae584bd5060a66bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/648056709a55446f597e5849d7fc41fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
5 . 对于集合
和集合
,若满足
,则集合
中的运算“
”可以是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137cb2d5955f58d370267590f37125f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dda3740e9c2568654e4101c03c95f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1c458592ba2d5ddd559b8720438a8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
A.加法 | B.减法 | C.乘法 | D.除法 |
您最近一年使用:0次
6 . 已知函数
,其中
,
为实数且
.
(1)当
时,根据定义证明
在
单调递增;
(2)求集合
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9021fa0cc7427f534fbf1ec1db79c4b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2c80c26a794a844127aae7dee87c93b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0070f5fd205c3c48a41bd865a7049b.png)
(2)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac3810dfe2b1eb718bae23bf0bab35e.png)
您最近一年使用:0次
7 . 已知集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f146ec56628ed9e1fc34b6157733cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fde91bd6a132a87ddf429c0616df2fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
您最近一年使用:0次
8 . 已知函数
,
(
),若对任意的
,总存在
,使得
,则实数
的取值范围是( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be315e528951120e7d551f654d2a1f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87f410890a33f9fa57a90abb2cd2eb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b3a5b4f2b7279a7aa94f8ec12b3f43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0cdf79ec49d52434473ee082eefc86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-14更新
|
107次组卷
|
2卷引用:第十三届高一试题(A卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
9 . 已知
,则( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21373dc076c7a53026793e286073654f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
10 . 已知函数
,记
.
(1)若
,求实数
的值;
(2)若存在
,使得
,求实数
的取值范围;
(3)若
对于
恒成立,试问是否存在实数
,使得
成立?若存在,求出实数
的值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27aa606ab53add37228ae3bdfc08e82a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8695a6e741f6ac1c61ff13663ec407c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d01cb44e5c01e13ce956c847eb1f6055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b015c5de7880eebc4f5d7d02755ce4ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b56a0bc723618e7cdac994882c807bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0527a896aec4a245945e5edee00deed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01842a2319e17537bc3a2efa4c6c0cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
2024-03-14更新
|
213次组卷
|
2卷引用:第十四届高一试题(B卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)