名校
解题方法
1 . 若函数
、
都在区间I上有定义,对任意
都有
成立,则称
、
为区间I上的“均分函数”.
(1)判断
、
是否为区间
上的“均分函数”,并说明理由;
(2)若
、
为区间
上的“均分函数”,求m的取值范围;
(3)若
、
为区间
上的“均分函数”,求k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bb6324279df94decba955e04ccfa9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b9a75a74d9caffd21cb21e29343bfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1f193c01c5e7265026efdff048e59e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c5933e9dcff69d4c39c768b610390bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7fb9f8363191d676d12e5afe763c00.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24ab465712eb09293ee13eeb4bca9ce2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8d0b20aef5965bd2449164a7e205903.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59096ffbd51f36f20564c56d2f727dbe.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ce7894a6a8dfa227f454342a8d7d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/102f72c0a088a67c699fc91f9ed5bfd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d51d9c50590e4f4484e7558ecd38c5f3.png)
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2021-12-24更新
|
348次组卷
|
3卷引用:湖南省衡阳市衡阳县2021-2022学年高一上学期期末数学试题
2 . 已知函数
,设
的图象为曲线
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/052b07639445541adeb7c96df1d000d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.曲线![]() |
B.曲线![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
21-22高一·湖南·课后作业
3 . (1)在定义域
上单调递减的函数
,最大值是多少?
(2)若
在
上单调递减而在
上单调递增,最小值是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.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/ee969e833c5f574b8d6939ad83771d26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d031c9b563beaddc564dce234bc5a3aa.png)
您最近一年使用:0次
名校
4 . 给定下列四个命题:其中为假命题的有___________ .(填上假命题的序号)
(1)
,记
,则
;
(2)如果函数
为偶函数,那么一定有
;
(3)函数
的最大值为
;
(4)命题
的否定为
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b935e1f19a703fac1cc0ea7278d77b33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989215002451088c5f5fdb81bd400da7.png)
(2)如果函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa6ee19717655990e412e3c7ce726b9.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4602375f0b60ef62d5aa5a3216c5edd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd422e76d464f861b4bd22ab96bfad2f.png)
(4)命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6f3e28e75b451e9182d2a96738ee9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/965bc27ac744c29650fc7c8c9a71ed0c.png)
您最近一年使用:0次
2021-08-25更新
|
293次组卷
|
2卷引用:湖南省怀化市溆浦县第一中学2022-2023学年高一上学期期中模拟数学试题
21-22高一·湖南·课后作业
5 . 一个质点沿直线运动.质点由静止匀加速
后速度达到8m/s;然后质点以恒定速度8m/s运动了
;之后质点在40s内匀减速到完全停下.
(1)画出质点运动的速度—时间图象;
(2)已知质点总共运动的位移是600m,求
的值;
(3)画出质点运动的加速度—时间图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bec1f566755112d1bd97f3acaa7c4a48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/beb487dc24839127f7cac6620a0ebcc6.png)
(1)画出质点运动的速度—时间图象;
(2)已知质点总共运动的位移是600m,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(3)画出质点运动的加速度—时间图象.
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21-22高一·湖南·课后作业
解题方法
6 . 设
是定义于
上的函数,
,讨论
的奇偶性;如果在
上
,试求它在
上的表达式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2372f424431ce7b547a66b7d61d75421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d39bc2a70e7728d262b1dc271ae2295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed2f490aac02631c2ed9e6b76354a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff2b53cd9892f6d174509740afbc69d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e58768fc0df02f60aa54d00fe063c52.png)
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21-22高一·湖南·课后作业
7 . 已知某函数在区间
上递减,在区间
上递增,
不是这个函数的最小值.试写出一个这样的函数解析式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be381da62d4a042476aa11dbd5824e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
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21-22高一·湖南·课后作业
解题方法
8 . 某市对家庭每月用水的收费规定为:若用水量不超过基本月用水量
,则只付基本费8元和损耗费
元(
);若用水量超过基本月用水量,则除了需付基本费和损耗费外,超过部分还需按
元
进行付费.已知该市某家庭1—3月的用水量分别为
,
和
,其支付的费用分别为9元,19元和33元.试写出每月支付费用
(元)关于月用水量
的函数,并画出函数的图象.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf090346d9e8610df47cd19950736998.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f00d5d0f323a78951ceb046e68f6e892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91293ad12c4d0812604f29af9bc2aa59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f70e55f816b182201ad9a62e86d0b4ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65fa882483eec61b3394edc3548211af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fe783f10311be4e71e098027d9d2a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e85989d362a00eff3b940d6472cb40e0.png)
您最近一年使用:0次
21-22高一·湖南·课后作业
9 . 已知函数
,计算:
(1)
;
(2)
;
(3)
;
(4)
;
(5)试比较这些计算结果,说一说你的发现.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f180a9e2837379ec709aec5a312f45.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e679eeda70ca6df048ed7e5991229c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494a8b850a12fdf75b4daadc87616bc9.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7d3354608b6137621a0b65040ff3fa.png)
(5)试比较这些计算结果,说一说你的发现.
您最近一年使用:0次
21-22高一·湖南·课后作业
解题方法
10 . 若偶函数
在区间
上递减且在区间
上递增,试讨论
在区间
上的增减性,并进一步讨论
为奇函数的情形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec5b6042af67164759ff1ca839e5f665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7a78f47c278e403d9522e8333288714.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c02b788a26c366b04c5aa8985e0a752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次