1 . 甲罐中有4个红球,3个白球和3个黑球;乙罐中有5个红球,3个白球和2个黑球.先从甲罐中随机取出一球放入乙罐,分别以A1、A2和A3表示由甲罐取出的球是红球,白球和黑球的事件;再从乙罐中随机取出一球,以B表示由乙罐取出的球是红球的事件,下列的结论:
①P(B)=
;
②P(B|A1)=
;
③事件B与事件A1不相互独立;
④A1,A2,A3是两两互斥的事件;
⑤P(B)的值不能确定,因为它与A1,A2,A3中哪一个发生有关,
其中正确结论的序号为_____ .(把正确结论的序号都填上)
①P(B)=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
②P(B|A1)=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a36239d5cfcef4aca3bf5209ec7d76ce.png)
③事件B与事件A1不相互独立;
④A1,A2,A3是两两互斥的事件;
⑤P(B)的值不能确定,因为它与A1,A2,A3中哪一个发生有关,
其中正确结论的序号为
您最近一年使用:0次
2 . 以下五个关于圆锥曲线的命题中:
①双曲线
与椭圆
有相同的焦点;
②以抛物线的焦点弦(过焦点的直线截抛物线所得的线段)为直径的圆与抛物线的准线是相切的.
③设
、
为两个定点,
为常数,若
,则动点
的轨迹为双曲线;
④过抛物线
的焦点作直线与抛物线相交于
、
两点,则使它们的横坐标之和等于5的直线有且只有两条.
⑤过定圆
上一定点
作圆的动弦
,
为原点,若
,则动点
的轨迹为椭圆
其中真命题的序号为_____ (写出所有真命题的序号)
①双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a0bd4bd9985f1e367c100b453ed03f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/608d1a8669aa2426e12751dec3e96da6.png)
②以抛物线的焦点弦(过焦点的直线截抛物线所得的线段)为直径的圆与抛物线的准线是相切的.
③设
![](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/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3ac70652e4fe2dece2074ef35d53b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
④过抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
⑤过定圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aef8acb02dc34ce485739dc49e218c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
其中真命题的序号为
您最近一年使用:0次
3 . 直线
(
为实常数)与曲线
的两个交点A、B的横坐标分别为
、
,且
,曲线E在点A、B处的切线PA、PB与y轴分别交于点M、N.下列结论:
①
;② 三角形PAB可能为等腰三角形;③ 若点P到直线
的距离为
,则
的取值范围为
;④ 当
是函数
的零点时,
(
为坐标原点)取得最小值.其中正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac23ae99c4abfd5cf39c9debf9f9356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bd6727b8ab28f05266ac05f75862027.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6915db62bfca9bb78145d1cc3a6125ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee6663cad490d8581234f254b8ac634b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbb578e8a1166831cbe4e2671e74194.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
您最近一年使用:0次
2019-01-30更新
|
147次组卷
|
2卷引用:2016届湖北省龙泉中学等校高三9月联考理科数学试卷
2014·全国·一模
解题方法
4 . 已知定义在
上的偶函数满足:
,且当
时,
单调递减,给出以下四个命题:
①
;
②
为函数
图象的一条对称轴;
③
在
单调递增;
④若方程
在
上的两根为
、
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab7ae9e51e7d2720eba7b0aba4e6221.png)
以上命题中所有正确命题的序号为___________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b54a16fd78a5464d7944e374552ed80b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db7707d6b2754808adefc9b2fb976a6.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a089c207e39a24d0d82aa853ac2bbb8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388709d8ab3092a934f3e225a6336169.png)
④若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2e46f49adba6036e2624639a1b966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fbd93f99e65e319a1795952105eee5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ab7ae9e51e7d2720eba7b0aba4e6221.png)
以上命题中所有正确命题的序号为___________.
您最近一年使用:0次
2016-12-03更新
|
2389次组卷
|
10卷引用:2017届湖北襄阳四中高三七月周考二数学(文)试卷
2017届湖北襄阳四中高三七月周考二数学(文)试卷2016届广东省广州六中等六校高三第一次联考文科数学试卷(已下线)2014年高考数学考前复习冲刺穿插滚动练习(一)(已下线)2013-2014学年山东省淄博六中高二下学期期中考试文科数学试卷(已下线)2015高考数学(理)一轮配套特训:2-3函数的奇偶性与周期性2017届福建南平浦城县高三文上学期期中数学试卷2018届高三数学训练题(9 ):函数性质的应用 江西省九江市修水县2018-2019学年高一年级数学期末统考试题(已下线)对点练12 函数的基本性质之周期性(含有三角)-2020-2021年新高考高中数学一轮复习对点练(已下线)专题13+3.2.2函数的奇偶性(基础练)-2020-2021学年高一数学十分钟同步课堂专练(人教A版2019必修第一册)
5 . 下列说法中错误的是_______ (填序号)①命题“
有
”的否定是“
有
”;②若一个命题的逆命题为真命题,则它的否命题也一定为真命题;③已知
,
,若命题
为真命题,则
的取值范围是
;④“
”是“
”成立的充分条件.
![](https://img.xkw.com/dksih/QBM/2016/12/22/1619430433390592/1619430433677312/STEM/0b721869debf4396850baf1fa67b2349.png?resizew=132)
![](https://img.xkw.com/dksih/QBM/2016/12/22/1619430433390592/1619430433677312/STEM/ca5522a7435541aaaf07806ca2ff9780.png?resizew=184)
![](https://img.xkw.com/dksih/QBM/2016/12/22/1619430433390592/1619430433677312/STEM/a488fc1edcaf45cf96f7073540f57a57.png?resizew=135)
![](https://img.xkw.com/dksih/QBM/2016/12/22/1619430433390592/1619430433677312/STEM/647e1d88317b4ef8bac3cef1948cec88.png?resizew=184)
![](https://img.xkw.com/dksih/QBM/2016/12/22/1619430433390592/1619430433677312/STEM/4cd035f972c143bbb102dd1e0838aaaa.png?resizew=119)
![](https://img.xkw.com/dksih/QBM/2016/12/22/1619430433390592/1619430433677312/STEM/e4b4ed9de6744321b0037f15aa6d0094.png?resizew=79)
![](https://img.xkw.com/dksih/QBM/2016/12/22/1619430433390592/1619430433677312/STEM/dc08c91437924bd4b657ad924d21fb5a.png?resizew=59)
![](https://img.xkw.com/dksih/QBM/2016/12/22/1619430433390592/1619430433677312/STEM/d1ba32acad324eb1b7c9c7e38950456f.png?resizew=13)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e93d6bae5b58d23fb85b8f54998da17.png)
![](https://img.xkw.com/dksih/QBM/2016/12/22/1619430433390592/1619430433677312/STEM/19c1b470360f46c59faf491246537ba5.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2016/12/22/1619430433390592/1619430433677312/STEM/64c72176348340d39621730d19ab6d71.png?resizew=41)
您最近一年使用:0次
名校
6 . 对某同学的6次数学测试成绩进行统计,作出的茎叶图如图所示,给出关于该同学数学成绩的以下说法①中位数为84; ②众数为85;③平均数为85; ④极差为12.
其中,正确说法的序号是
![](https://img.xkw.com/dksih/QBM/2018/12/10/2093649318019072/null/STEM/b9cbc03a579c4c56b8d37487067d7ec7.png?resizew=85)
其中,正确说法的序号是
![](https://img.xkw.com/dksih/QBM/2018/12/10/2093649318019072/null/STEM/b9cbc03a579c4c56b8d37487067d7ec7.png?resizew=85)
A.①② | B.①③ | C.②④ | D.③④ |
您最近一年使用:0次
2018-12-12更新
|
446次组卷
|
6卷引用:2015-2016学年湖北省汉川市高二上学期期末理科数学试卷
7 . 对某同学的6次数学测试成绩进行统计,作出的茎叶如图所示,给出关于该同学数学成绩的以下说法:
①中位数为83;②众数为83;③平均数为85;④极差为12.
其中正确说法序号是
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572533166497792/1572533172273152/STEM/10cc93c79f4147498c9378a52df84e99.png)
①中位数为83;②众数为83;③平均数为85;④极差为12.
其中正确说法序号是
![](https://img.xkw.com/dksih/QBM/2016/3/11/1572533166497792/1572533172273152/STEM/10cc93c79f4147498c9378a52df84e99.png)
A.①② | B.③④ | C.②③ | D.①③ |
您最近一年使用:0次
2016-12-04更新
|
312次组卷
|
2卷引用:2015-2016学年湖北省随州市高二上学期期末理科数学试卷