1 . 判断正误(正确的填写“正确”,错误的填写“错误”)
(1)全称量词命题是陈述某集合中所有元素都具有某种性质的命题.( )
(2)存在量词命题是陈述某集合中存在一个或部分元素具有某种性质的命题.( )
(3)全称量词命题一定含有全称量词.( )
(4)“有些三角形中三个内角相等”是存在量词命题.( )
(1)全称量词命题是陈述某集合中所有元素都具有某种性质的命题.
(2)存在量词命题是陈述某集合中存在一个或部分元素具有某种性质的命题.
(3)全称量词命题一定含有全称量词.
(4)“有些三角形中三个内角相等”是存在量词命题.
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2 . 判断正误,正确的填写“正确”,错误的填写“错误”.
(1)求等比数列{an}的前n项和时,可直接套用公式Sn=
.( )
(2)若首项为a的数列既是等比数列又是等差数列,则其前n项和等于na.( )
(3)若a∈R,则1+a+a2+…+an-1=
.( )
(4)等比数列前n项和Sn不可能为0.( )
(5)若某数列的前n项和公式为Sn=-aqn+a(a≠0,q≠0且q≠1,n∈N*),则此数列一定是等比数列.( )
(1)求等比数列{an}的前n项和时,可直接套用公式Sn=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d0d5b3870747898ce557f80f9cf2fb5.png)
(2)若首项为a的数列既是等比数列又是等差数列,则其前n项和等于na.
(3)若a∈R,则1+a+a2+…+an-1=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b1fa78169b2d181cc2c03598e236697.png)
(4)等比数列前n项和Sn不可能为0.
(5)若某数列的前n项和公式为Sn=-aqn+a(a≠0,q≠0且q≠1,n∈N*),则此数列一定是等比数列.
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23-24高二下·全国·课前预习
3 . 判断正误,正确的填写“正确”,错误的填写“错误”.
(1)在“
已发生”的条件下,
发生的概率可记作
.( )
(2)对事件
,
,有
.( )
(3)若
,则事件
,
相互独立.( )
(4)
相当于事件
发生的条件下,事件![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
发生的概率.( )
(5)若事件
,
互斥,则
.( )
(6)事件
发生的条件下,事件
发生的概率,等于
,
同时发生的概率.( )
(7)
. ( )
(8)若事件
,
互斥,则
. ( )
(9)
.( )
(1)在“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3f4cdb38d77b6c9a78c1fe6fadcec8c.png)
(2)对事件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a389ef3d474066ddec05f7c4081140.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c00c7901633320b672b30ec8ce2aa298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a5b9ea5797fd1855fbd02e80cbc2311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(5)若事件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/664c318a99511093c962ff843fd011a7.png)
(6)事件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ad27523c7b2e9dab2c8ebfca2765a5.png)
(8)若事件
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/664c318a99511093c962ff843fd011a7.png)
(9)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a22a55a21544c9cfe7db5449a8cb114.png)
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4 . 判断正误(正确的填写“正确”,错误的填写“错误”)
(1)函数
的最大值为1.( )
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408c3726fe0b0698826dc623f269e179.png)
,满足
.( )
(3)正弦函数、余弦函数在定义域内都是单调函数.( )
(4)正弦函数在第一象限是单调递增函数.( )
(1)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80e8d2d66b432fd2b8a2830ba21e5dd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408c3726fe0b0698826dc623f269e179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffa66c18aeebd9a0eed87011a2da0b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f104689aa8aa162e7001f5195ea2404e.png)
(3)正弦函数、余弦函数在定义域内都是单调函数.
(4)正弦函数在第一象限是单调递增函数.
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解题方法
5 . 判断正误(正确的填写“正确”,错误的填写“错误”)
(1)所有的函数在其定义域上都具有单调性.( )
(2)若函数
在区间
上是减函数,则函数
的单调递减区间是
.( )
(3)若函数
为R上的减函数,则
.( )
(4)若函数
在定义域上有
,则函数
是增函数.( )
(1)所有的函数在其定义域上都具有单调性.
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec965488c7e1cea085463c7731285.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2ec965488c7e1cea085463c7731285.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ecc4ef6f054d1b8f90f42c8e3baa0e0.png)
(4)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e27278384f8b5586d50a39e3e85f57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
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