名校
解题方法
1 . 函数
,关于函数
的零点情况有下列说法:
①当
取某些值时,无零点; ②当
取某些值时,恰有1个零点;
③当
取某些值时,恰有2个不同的零点; ④当
取某些值时,恰有3个不同的零点.
则正确说法的全部序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f24bd5843cbfaff1885592a83275ad7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c2853174cf50c71d58b7d57d7048088.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
则正确说法的全部序号为
您最近一年使用:0次
2024-03-27更新
|
163次组卷
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2卷引用:上海民办南模中学2023-2024学年高一下学期期中考试数学试卷
2 . 已知函数
,
,
恰有
个零点
、
、
,且
,有下列结论:
①
;
②
;
③
;
④
.
其中正确结论的序号为______ .(填写所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8467c9cc9e33d79353824c92295006c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9aa676fad54f444d64c488445c05c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.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/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9440f2d7ae0b2039fd68e50aec92d55f.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/559566a2c371f26140a968ba4675f1ce.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b50babdf93967de25ebcf5f09d55381.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053bbe2262e60c7729b13fbd77729f44.png)
其中正确结论的序号为
您最近一年使用:0次
2022-03-07更新
|
657次组卷
|
3卷引用:福建省南平市浦城县第三中学2023届高三上学期数学期中测试模拟卷试题(3)
福建省南平市浦城县第三中学2023届高三上学期数学期中测试模拟卷试题(3)三省三校(黑龙江哈师大附中、东北师大附中、辽宁实验中学)2022届高三下学期第一次模拟数学(理)试题(已下线)三省三校2022届高三下学期第一次模拟数学(理)试题变式题16-20
名校
解题方法
3 . 给出下列四个命题:
①若
,则
为等腰三角形;
②函数
的最大值为
;
③在
中,若
,则
的形状是钝角三角形;
④用篱笆围一个面积为
的矩形菜园,要使所用篱笆周长最短,则所用篱笆最短的周长是
.
其中正确的序号为__________ (注:把你认为正确的序号都填上)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b883d9703a1deaf8dbc18097c6b8bb2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89deb3ed56b145b87f4711a49b8ab094.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
③在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/272058608afabdb02a59321e1bffe344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
④用篱笆围一个面积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6711f79513b534982a9ada2b625e9fdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c758c27bec97c234d1d818c40f3d3f.png)
其中正确的序号为
您最近一年使用:0次
名校
解题方法
4 . 以下四个命题中错误的序号为__________ .
①已知
三内角A,B,C的对边分别为a,b,c,且
,若角A的平分线交BC于D点,且
,则
的最小值为4
②在平行四边形
中,
,
,若点
,
满足
,
,则
的值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
③设O是
的外心,且满足
,则
.
④在矩形ABCD中,AB=
,BC=2,点E为BC的中点,点F在边CD上,若
=
,则
的值是
①已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58296d4772a7cd31792f6a54e31e18f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ffbcd82b98a9ae69aa4ee28bb49a907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
②在平行四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1203f93e3696820124f310b51903d6b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e0e0a61bc7aedebcb4a10b423d21e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173118fd038ef312ae3d8dd947f4cd3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00b0b73bae90597775a1a9219fdeb1e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc724b92355546b4da634b485d042f59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
③设O是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ff9d4fdd0d176042505b7aac016852.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda3f418a8b01b6d0ab3ed0135fb84a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/706e774dfd32305229cf4e06b36eecc0.png)
④在矩形ABCD中,AB=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad28b5f1101403620ddbdbe536a620ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f651a0f32c32d43a5e629e6e3fd479.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
您最近一年使用:0次
名校
解题方法
5 . 设等差数列
的前
项和为
,则有以下四个结论:
①若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ca47be5a21ea60ebd04dd8945852d8.png)
②若
,且
,则
且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eef1f2c439ad1043f4b0e8892066826.png)
③若
,且在前16项中,偶数项的和与奇数项的和之比为3:1,则公差为2
④若
,且
,则
和
均是
的最大值
其中正确命题的序号为___________ .
![](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)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd67cf18bd35149475d35f1c603ad59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ca47be5a21ea60ebd04dd8945852d8.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45c65fa15317b33766389407c427668.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642a443e3315a7fb6489b01fad7e3215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd3c579e5e0540f190994cbb5b0653a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eef1f2c439ad1043f4b0e8892066826.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8bdb404dcbe74cd8bbd30de782a8fa.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a8933c07e3651731291184c080766c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41c4154f019120be078200f2dff6f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
其中正确命题的序号为
您最近一年使用:0次
2023-11-26更新
|
505次组卷
|
5卷引用:宁夏银川市唐徕中学2023-2024学年高三上学期期中考试数学(理)试题
宁夏银川市唐徕中学2023-2024学年高三上学期期中考试数学(理)试题北京朝阳区六校联考2024届高三12月阶段性诊断数学试题北京第五中学2023-2024学年高三下学期开学检测数学试卷(已下线)2024年高考数学二轮复习测试卷(北京专用)(已下线)4.2.2 等差数列的前n项和公式——课后作业(提升版)
名校
解题方法
6 . 已知函数
,函数
的最小值记为
,给出下面四个结论:
①
的最小值为0;
②
的最大值为3;
③若
在
上单调递减,则
的取值范围为
;
④若存在
,对于任意的
,
,则
的可能值共有4 个;
则全部正确命题的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efee94d8d161b6471d4c6e89a153af7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a239d924a26dbc7f33052c63a20a327a.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c82644f77c5455ceb7f94950e94273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573490ed07601c52a92d4a374db57d95.png)
④若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51159984b2cb00f30b3986315019623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05ccecaf28ac8d62d16577082832dab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
则全部正确命题的序号为
您最近一年使用:0次
2023-03-07更新
|
1325次组卷
|
5卷引用:山东师范大学附属中学幸福柳分校2023-2024学年高一上学期期中考试数学试题
山东师范大学附属中学幸福柳分校2023-2024学年高一上学期期中考试数学试题北京中央民族大学附属中学2023届高三零模数学试题(已下线)北京市中央民族大学附属中学2023届高三零模数学试题(已下线)第三章 函数的概念与性质-【优化数学】单元测试能力卷(人教A版2019)(已下线)专题6 绝对值函数中参数问题(每日一题)
7 . 如图,经过坐标原点O且互相垂直的两条直线AC和BD与圆
相交于A,C,B,D四点,M为弦AB的中点,有下列结论:
①弦AC长度的最小值为
;
②线段BO长度的最大值为
;
③点M的轨迹是一个圆;
④四边形ABCD面积的取值范围为
.______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7754ea5f6847cf3176c46b32e12d9b44.png)
①弦AC长度的最小值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/588c3822b7812e711b4ad86647b15dc1.png)
②线段BO长度的最大值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545e71366657b9c66b44fa8fa0ec1079.png)
③点M的轨迹是一个圆;
④四边形ABCD面积的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55524ac256c35d34370bda469fafba5e.png)
您最近一年使用:0次
2022-05-11更新
|
3554次组卷
|
11卷引用:高二上学期期中考试填空题压轴题50题专练-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)
(已下线)高二上学期期中考试填空题压轴题50题专练-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)四川省成都市2022届高三第三次诊断考试文科数学试题四川省成都市2022届高三第三次诊断考试理科数学试题湖北省九校教研协作体2023届高三上学期起点考试数学试题(已下线)考向33 一类与圆有关的最值与范围问题(七大经典题型)(已下线)专题2.12 直线和圆的方程全章综合测试卷(提高篇)-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)第五篇 向量与几何 专题2 圆幂定理与根轴 微点3 圆幂定理与根轴综合训练(已下线)高二上学期第一次月考填空题压轴题50题专练-2023-2024学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)高二数学上学期期中模拟卷01(原卷版)(已下线)难关必刷03圆的综合问题-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(人教A版2019选择性必修第一册)(已下线)第4题 直线与圆相切的最值问题(压轴小题)
名校
8 . 在正方体
中,点
,
满足
,
,给出下列4个命题:
![](https://img.xkw.com/dksih/QBM/2021/11/8/2847094571835392/2847356345024512/STEM/fa726ef76df843c1b1b8a205f774df16.png?resizew=153)
①存在
,使
;
②存在
,使直线
与直线
共面;
③任意
,
的面积为定值;
④任意
,均有
.
其中,正确命题的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11819586164b4c8c61fc01199c65327a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e6db8a3fe1c37e9eee6207541f9347d.png)
![](https://img.xkw.com/dksih/QBM/2021/11/8/2847094571835392/2847356345024512/STEM/fa726ef76df843c1b1b8a205f774df16.png?resizew=153)
①存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99146aec0102a510f2357b7013e2d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ee20f80fb0a9524662ce03f48e8157.png)
②存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99146aec0102a510f2357b7013e2d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24006d28116bc097933cc90bcc0ea69f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84d454c82d9e52747563d47b68099249.png)
③任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99146aec0102a510f2357b7013e2d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8dcc9f79fe5f07f25447aa442ee14ad.png)
④任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99146aec0102a510f2357b7013e2d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/142c742a4226a2a6873bd55ca8b1f021.png)
其中,正确命题的序号为
您最近一年使用:0次
9 . 下列说法中错误的序号是_________ (写出所有错误的序号)
①有11名翻译人员,其中5名是英语翻译人员,4名是日语翻译人员,另2人英、日语均精通.现从中选出8人组成两个翻译小组,其中4人翻译英语,另4人翻译日语,则不同选派方法有185种
②用数字0,1,2,3,4,5组成没有重复数字的四位数,将这些四位数按从小到大的顺序排成一个数列,则第145个数字为3210
③四面体的顶点和各棱中点共有10个点,在其中取4个不共面的点,则不同取法共有147种
④若
,则
的值为
①有11名翻译人员,其中5名是英语翻译人员,4名是日语翻译人员,另2人英、日语均精通.现从中选出8人组成两个翻译小组,其中4人翻译英语,另4人翻译日语,则不同选派方法有185种
②用数字0,1,2,3,4,5组成没有重复数字的四位数,将这些四位数按从小到大的顺序排成一个数列,则第145个数字为3210
③四面体的顶点和各棱中点共有10个点,在其中取4个不共面的点,则不同取法共有147种
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde1be9e8053acad7420a18205193477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d151bdb8c5989cc39523fee888e6680b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf3d3564c61e5e9c39a9e2cf2de048b.png)
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10 . 对
与
进行独立性检验时,关于随机变量
的下列说法中,正确的有___________ .(填序号).
①
的值越大,
与
的相关性越大;
②
的值越小“
与
有关系”的可信程度越小;
③若求出
,则有
的把握认为“
与
有关系”,即“
与
有关系”的推断出现错误的概率不会超过
;
④在
列联表中,若每个数据变为原来的
倍,则
的值变为原来的
倍.
附:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/257df6aa51f9ff5e508668f1862f14f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2581192317ef233ccdccfc48ac29b52b.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2581192317ef233ccdccfc48ac29b52b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2581192317ef233ccdccfc48ac29b52b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
③若求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826888326df1eb263284871615ee3b8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b399e6815afcaa24f2889e58c79c10a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a829fdd8ec0f3b7ede883cf2c3e53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03099476ad68d3ad530d75d662100f14.png)
④在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2581192317ef233ccdccfc48ac29b52b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/257df6aa51f9ff5e508668f1862f14f4.png)
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