1 . 已知函数
.
(1)当
时,讨论
的单调性;
(2)若
在
上恰有一个零点
,且
,求满足条件的最大整数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c973624d894a28fac33bf627911b0d91.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea69fb59dc615852a0d248675788d82e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-05-11更新
|
289次组卷
|
2卷引用:重庆市西北狼教育联盟2023-2024学年高二下学期4月期中联合测试数学试卷
名校
解题方法
2 . 已知
,点
在曲线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b4dba61009dd424c005321c14ec712.png)
上,若线段
与曲线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a463744f6f85de0ff99bc2e3073b9e23.png)
相交且交点恰为线段
的中点,则称
为曲线
关于曲线
的一个关联点.记曲线
关于曲线
的关联点的个数为a,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8748dc55e2f45bc37fc4d84d7310f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b4dba61009dd424c005321c14ec712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098777605c6338e4cbe685158203e755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a463744f6f85de0ff99bc2e3073b9e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
3 . 设函数
.
(1)求函数
在
上的单调区间;
(2)求证:函数
在
上有且只有一个零点
,并求
(
表示不超过
的最大整数,如
).
参考数据:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/802a2f8b34b7a7088735c573915921b7.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0167434c2c1a16e59e89d436ac0a1278.png)
(2)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b5e51f08fcfaa95b58f3a14c8250a38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41667e2986ec718cabeeb1088794ed67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1697ae41e450c3893f65e9917e2744a9.png)
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcb268db2f1559804fd1e3e548d22ce4.png)
您最近一年使用:0次
4 . 函数
在区间
上的零点个数有______ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79de56329f2b0e099332d058e636a7c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e99bebf8db0d314aacb2cb1f09bf48c.png)
您最近一年使用:0次
名校
解题方法
5 . 定义:如果函数
在
上存在
(
),满足
,
,则称函数
是
上的“双中值函数”.已知函数
是
上的“双中值函数”,则实数a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54323d02f7dcf328d8eeaf555be87406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/363b7bc6139d78757605177de6ee244b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b86668178f0511e182bb64e6f6d02122.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6506b6428b9cd7ee30196ca018f993f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c3e441923ed3c1a32720d6aeac2f599.png)
您最近一年使用:0次
2024-03-15更新
|
205次组卷
|
2卷引用:第十二届高二试题(A卷)-“枫叶新希望杯”全国数学大赛真题解析(高中版)
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c8eae7bf6251fd35cbcfce082f9dd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)当
时,若
,求x的值:
(2)若
是偶函数,求出m的值:
(3)
时,讨论方程
根的个数.并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c8eae7bf6251fd35cbcfce082f9dd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ce70cd93ab5e129a18d4df247063fc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54078c4af5b305e26b8e3faa6423e67e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5809a06357f94fc7a2156c7e7af1ed2e.png)
您最近一年使用:0次
7 . 已知函数
.
(1)判断函数
在区间
上的单调性,并用定义证明;
(2)用二分法求方程
在区间
上的一个近似解(精确度为0.1).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42714fb3ee2dd8f509c641e22c569634.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
(2)用二分法求方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
您最近一年使用:0次
解题方法
8 . 关于函数
的零点,下列选项说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2aaf74ea91b141d432495cb6355a1f6.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() |
D.![]() ![]() |
您最近一年使用:0次
解题方法
9 . 已知
,且
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ede877f4dfa6b0a9a4c2e749e8fc27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
A.当![]() ![]() ![]() |
B.不等式![]() ![]() |
C.![]() ![]() |
D.当![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
10 . 下列说法正确的有( )
A.函数![]() ![]() ![]() ![]() ![]() |
B.函数![]() |
C.方程![]() ![]() ![]() |
D.函数![]() ![]() ![]() |
您最近一年使用:0次