2022高一上·全国·专题练习
解题方法
1 . 若定义在
上的奇函数
满足
,在区间
上,有
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1d2e119fb24b082a2a4174117ebd317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2538c43cae295f39bd0e0e251bc664d9.png)
A.函数![]() ![]() |
B.函数![]() ![]() |
C.在区间![]() ![]() |
D.![]() |
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解题方法
2 . 已知二次函数,
,且函数
为偶函数.
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29b56f1b73c0341b4c4093ed25f689fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dccf1f9faac56117d6d3dd1dddd286d.png)
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解题方法
3 . 已知偶函数
满足
,且在区间
上是增函数,则
,
,
的大小关系是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a294ac176a455e749d73aedb6eb7f3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87e76c7649b7fd956b92338f45a881f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2631b1dab5d7dbec8feca79086b13f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ff351614587c9202de8f0bf0290598.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
4 . 已知函数
为
上的奇函数,
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/906ded60bc1c6ad418a3f9602567583a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7348951d079ce523e831fd0aba868e28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/309cba0ed9b10189110b49a4606b4f0a.png)
A.![]() | B.![]() | C.0 | D.![]() |
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解题方法
5 . 已知函数
的定义域为
若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fb636445ee91f68ef5cddd4bc90321a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c914c0812f5ac7fb6619d0dd0cdcffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb106619ae47928694f6cb3d470581b8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 已知定义在
上的函数
满足:
.
(1)求证:
是周期函数,并求出其周期;
(2)若
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b83fa0c19ec5fe6c4e44c4d2120744f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/372824170ace3d4e6423df6b176db102.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38fcec7af3520884b173b29bda6c657a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249a976e88133f3b3733f09137cf5c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241553167658572549705dda8cd7c207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d2d82de16ab63da8d9187609604ec4.png)
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解题方法
7 . 已知定义域为R的函数
满足
,且函数
的图象与
的图象的所有交点为
,
,…,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f63652f82f85244429284de785f882e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cafb9d2df9e69029873880048657915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56720e2f2b0ddd72156da495923698da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2852ae85cfcc804b3192ea8543c88938.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9fcb59a6fd0b9858e01a7079767a86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4406efb18d3a2fb386a045698065e4c1.png)
A.0 | B.m | C.![]() | D.![]() |
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解题方法
8 . 已知函数
可以同时平分圆
的面积与周长,我们把这样的函数称为圆
的“平均函数”.下列函数不是圆
的“平均函数”的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f240cccaf24af8a796abb95cb42be52e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
9 . 设
(
),其中常数
.
(1)判断函数
的奇偶性,并说明理由;
(2)若不等式
在区间
上有解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc587c186cdfbea7a6abf5cd5ac84de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6cec5d90cdd877219cc8bd7038eea1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1279ef84071f5ad7c4c1681357edd84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
10 . 已知定义在
上的偶函数
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5911b169b7eea03a4d5c3b873b4b78.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3afff0fd3cc87777c444ef9bade8ad93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da3ec0edf34d37271f2f29ded60c121c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa5911b169b7eea03a4d5c3b873b4b78.png)
您最近一年使用:0次