1 . 在一副去掉大小王的52张扑克牌中随机抽取1张,记M表示事件“取到红桃”,N表示事件“取到J”,有以下说法:①M与N互斥;②M与N相互独立;③
与N相互独立.则上述说法中正确说法的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ee035c6c34eef4268a150dab13117e9.png)
A.① | B.② | C.①② | D.②③ |
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2 . 下列叙述中,
①等差数列
,
为其前n项和,若
,
,则当
时,
最小;
②等差数列
的公差为d,前n项和为
,若
,则
为递增数列;
③等比数列
的前n项和为
,若
,则
有最小项;
④在等差数列
中,记
,若存在
,使得
,则
为递增数列.
正确说法有______ (写出所有正确说法的序号)
①等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b134439819d3069da709979cb9b1a991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5846713aaecbab35ad985cbe9ad7d44a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd6cd3173d146902c5518503888c3b59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
②等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
③等比数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5c8a6c196890aa7871ea0c82061ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fa57d92d6ad44d6a0cafad1e71ed4.png)
④在等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134aefab10d3e81e223e9123da5f417e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f29c06a3e9a73e905eb87d71efa201c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb50854126e66c09294192ed1db29ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
正确说法有
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3 . 下列说法错误 的是( )
A.独立性检验的结果一定正确 |
B.用卡方检验法判断“是否有把握认为吸烟与患肺癌有关”时,其零假设为![]() |
C.在线性回归分析中,相关系数![]() |
D.根据一元线性回归模型中对随机误差的假定,残差的均值为0 |
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解题方法
4 . 已知抛物线C:
,
,过点Р的直线
交抛物线C于A,B两点,线段AB中点为
,直线
经过点D且垂直于y轴,直线
经过点
且垂直于直线
,记
,
相交于点N,下列说法正确的序号为____ .
①
;②
的斜率为
;③
;④点N在定直线
上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d56ab70e602f2e2e291df643ab209162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/842747ef9bfbd8893e3d7a2272a70e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3825ccc273ef9a672a606432d165b866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfa4e9d7d044658001c41e2ca2dfb82b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41e4234c48e25329a4f52d1f2f26e41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
您最近一年使用:0次
2023-02-22更新
|
165次组卷
|
2卷引用:四川省绵阳市2022-2023学年高二上学期期末数学理科试题
名校
解题方法
5 . 已知四边形
是椭圆
的内接四边形,其对角线
和
交于原点
,且斜率之积为
.给出下列四个结论:
①四边形
是平行四边形;
②存在四边形
是菱形;
③存在四边形
使得
;
④存在四边形
使得
.
其中所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caeb11677994ba487096958b1ad82ea1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30d314a642667fef559032264647366.png)
①四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
②存在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
③存在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e84f14a77c27b015b6b1cf0896228b1.png)
④存在四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76d8d582c0bf83314b19df67e1bd2740.png)
其中所有正确结论的序号为
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2024-01-17更新
|
290次组卷
|
3卷引用:北京市海淀区2023-2024学年高二上学期期末练习数学试卷
北京市海淀区2023-2024学年高二上学期期末练习数学试卷北京市人大附中2023-2024学年高二上学期期末数学试题(已下线)2.2.2 椭圆的性质(十八大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
6 . 有下列命题:
①抛物线
的准线方程为
;
②已知直线过两点
,
,则此直线的斜率是
;
③若方程
表示双曲线,则实数
的取值范围是
.
其中正确命题的序号为________ (把正确的答案都填上).
①抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5db63cef6d8bbb08137d71c6f7b6e741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
②已知直线过两点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aedad6bb70631b944c69f8f0b02b35d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47153fdd73c0661fa460130082e30929.png)
③若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc5494f7d24f95a721555b85c84e8a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/127aacea765b09f5110b3176493f0dd2.png)
其中正确命题的序号为
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名校
解题方法
7 . 已知曲线
.关于曲线W有四个结论:
①曲线W既是轴对称图形又是中心对称图形;
②曲线W的渐近线方程为
;
③当
时曲线W为双曲线,此时实轴长为2;
④当
时曲线W为双曲线,此时离心率为
.
则所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb65152906dd85d99319f2aa0b8e9fe.png)
①曲线W既是轴对称图形又是中心对称图形;
②曲线W的渐近线方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba80160fe41b335cd9e54fd449f8387.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c328c9c4ec69c4275e27576fb61655.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c328c9c4ec69c4275e27576fb61655.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7881094ce2f907c3aaf664318ecd3e2d.png)
则所有正确结论的序号为
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2024-01-26更新
|
152次组卷
|
2卷引用:北京市通州区2023-2024学年高二上学期期末质量检测数学试卷
名校
解题方法
8 . 已知无穷项数列
满足:
为有理数,给出下列四个结论:
①若
,则数列
单调递增;
②数列
可能为等比数列;
③若存在
,则对于任意
,总有
.
④若存在
,对于任意
,总有
,则
.
其中全部正确结论的序号为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757fa2565058d406171e2c04c81339df.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5faf050789ad292c3c48a72f02fef7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
②数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
③若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2144bed075a6332e1c20c7ca81d6ae97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae264151cc27e873d26a7ca105029a40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fdac33fe562fcb3e15e76be7571d35e.png)
④若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2480f87a11c4cd450bc9454ea7276722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05ec09a5b5fd94c1dd994a759907ef1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e08febc4860b458ef9de6c0d7854dd21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bd42f8e3f220a7b1c6f6945e73bc10.png)
其中全部正确结论的序号为
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2023-09-04更新
|
443次组卷
|
6卷引用:2023-2024学年高二上学期数学期末预测基础卷(人教A版2019)
(已下线)2023-2024学年高二上学期数学期末预测基础卷(人教A版2019)(已下线)4.3 数列-数列的概念(十二大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)北京市清华大学附属中学2024届高三上学期开学考试数学试题北京市清华附中2024届高三开学摸底考数学试题北京市广渠门中学2024届高三上学期10月考数学试题北京市第八十中学2023-2024学年高三上学期10月月考数学试卷
名校
9 . 给出下列四个命题:
①已知直线
,则该直线的倾斜角为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
②抛物线
的准线方程为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da322ac8867e8a47c6588601078abf18.png)
③在等差数列
中,
,若
的前
项和
有最小值,则使
时最大的自然数n的值为2022
④已知数列
,
若对于任意(
)有
,则实数
取值范围是
,
其中正确命题的序号为______ .
①已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698d7ad4f0b131f8287883ed42f79fbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
②抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72c084abaf8d0b7a5d23f72b51f7cbcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da322ac8867e8a47c6588601078abf18.png)
③在等差数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39b0b91048f4a0aed25fe79b82cf299b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937228faf3b035ce9fb607ec96f707f0.png)
④已知数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b68116b0f251eced84cde4aff4bd577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f32e2f964bb664deba92b0f9ea5f0d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2e3dd29d24da73d27492ac36198889.png)
其中正确命题的序号为
您最近一年使用:0次
10 . 已知函数
和
,有下列四个结论:
①当
时,若函数
有3个零点,则
;
②当
时,函数
有6个零点;
③当
时,函数
的所有零点之和为
;
④当
时,函数
有3个零点;
其中正确结论的序号为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9840391d419be2c41486d68765a8d026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc6c6239394a7a9f13584e954f0dbded.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc046a7b475b5130da69bf537226ec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9977b59a789b7cfdd49185deb2b1b0d7.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3adb9acead48e36b705874dc96979f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a876d70607e661282d61705b36ae40df.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200f24e682c93e02a87f3f9d57dc5d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbfc6f997f5465c88d68dde7fd874fe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/276b142a9d9f0a87425a668dd6501f15.png)
其中正确结论的序号为
您最近一年使用:0次