1 . 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
您最近一年使用:0次
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解题方法
2 . 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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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
2024·全国·模拟预测
解题方法
3 . 已知等比数列
的公比为
,它的前
项积为
,且满足
,
,给出以下命题:①
;②
;③
为
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/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50264d5cb22067b076fe3e2376d39f89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b4a288ed2eabfaf91963eb54bea320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda6dc559d07bc22c9a0ed1e3a6d01d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31add5d92e80dcec34cea2dcec7fd2c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e5087b65850c79e65452645719f176b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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4 . 已知函数
,给出下列四个结论:
①
存在无数个零点;
②
在
上有最大值;
③若
,则
;
④区间
是
的单调递减区间.
其中所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52f54ea4ec6ca40bddc22008396880d0.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05c31b265fc815ec756c7a03e411c2bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/160c97284bc32775f0f1dbc61d264e58.png)
④区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27f935fa5d0ae1b208aff21aa468ecf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
其中所有正确结论的序号为
您最近一年使用:0次
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|
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4卷引用:北京市首都师范大学附属中学2023-2024学年高一下学期4月期中考试数学试题
名校
解题方法
5 . 画法几何的创始人法国数学家加斯帕尔
蒙日发现:与椭圆相切的两条垂直切线的交点的轨迹是以椭圆中心为圆心的圆,我们通常把这个圆称为该椭圆的蒙日圆.已知椭圆
的离心率为
分别为椭圆的左、右焦点,
为椭圆上两个动点.直线
的方程为
.给出下列四个结论:
①
的蒙日圆的方程为
;
②在直线
上存在点
,椭圆
上存在
,使得
;
③记点
到直线
的距离为
,则
的最小值为
;
④若矩形
的四条边均与
相切,则矩形
面积的最大值为
.
其中所有正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c97ec04a1aa7ac6fce72d589864940a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02904676fe59cd21f036b222273b8db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/426725e54032dce0135c0cb184264602.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/050973e046bf8aef978e0739bca3db98.png)
②在直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83640592853a53872d7af69c0cffc1bb.png)
③记点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/35929c347f939fbfe8773b8b3ee2fa31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bff8399dc513b553529ef15f26f79b8.png)
④若矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a315e4b5963127bf8550cde03ca1966d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a315e4b5963127bf8550cde03ca1966d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e715c40ab558d10904766dc3f58010ef.png)
其中所有正确结论的序号为
您最近一年使用:0次
2024-01-18更新
|
292次组卷
|
3卷引用:北京市大兴区2023-2024学年高二上学期期末检测数学试题
北京市大兴区2023-2024学年高二上学期期末检测数学试题北京市八一学校2023-2024学年高三下学期开学摸底考试数学试题(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)
解题方法
6 . 博览会安排了分别标有序号为“1号”“2号”“3号”的三辆车,等可能随机顺序前往酒店接嘉宾.某嘉宾突发奇想,设计两种乘车方案.方案一:不乘坐第一辆车,若第二辆车的车序号大于第一辆车的车序号,就乘坐此车,否则乘坐第三辆车;方案二:直接乘坐第一辆车.记方案一与方案二坐到“3号”车的概率分别为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e28d20fcedbc1072eac5fe902d2969bb.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5425108c557f0f21474c045334f97d9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e28d20fcedbc1072eac5fe902d2969bb.png)
您最近一年使用:0次
名校
7 . 在数列
中,对任意的
都有
,且
,给出下列四个结论:
①数列
可能为常数列;
②对于任意的
,都有
;
③若
,则数列
为递增数列;
④若
,则当
时,
.
其中所有正确结论的序号为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56420139e57870e3d5fc9f4057c15f73.png)
①数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
②对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c967891f122c574963975c7bc2664fce.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a40af859d892e1c30f300678e4a05c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492b4cec252b0417cbec8e361718001d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0228078a7a3d05a7643f87e04992a304.png)
其中所有正确结论的序号为
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8 . 在数列
中,对任意正整数n都有
,且
,给出下列四个结论:
①对于任意的
,都有
;
②对于任意
,数列
不可能为常数列;
③若
,则数列
为严格增数列;
④若
,则当
时,
.
其中所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56420139e57870e3d5fc9f4057c15f73.png)
①对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c967891f122c574963975c7bc2664fce.png)
②对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390636a89883bd64bf8da9bf8654aff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a40af859d892e1c30f300678e4a05c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492b4cec252b0417cbec8e361718001d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0228078a7a3d05a7643f87e04992a304.png)
其中所有正确结论的序号为( )
A.②④ | B.③④ | C.①②③ | D.②③④ |
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解题方法
9 . 牛顿迭代法(Newton's method)又称牛顿–拉夫逊方法(Newton–Raphsonmethod),是牛顿在17世纪提出的一种近似求方程根的方法.如图,设
是
的根,选取
作为
初始近似值,过点
作曲线
的切线
,
与
轴的交点的横坐标
(
),称
是
的一次近似值,过点
作曲线
的切线,则该切线与
轴的交点的横坐标为
,称
是
的二次近似值.重复以上过程,直到
的近似值足够小,即把
作为
的近似解.设
,
,
,
,
构成数列
.对于下列结论:
(
);
②
(
);
③
;
④
(
).
其中正确结论的序号为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8ec28f6f007c118c4fb3dc2e0531ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/015740ce0b7022cf0a5503747c020999.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4eff3125c5e63a994ba1ad5be58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/453cee2ac9dfd92e2edfa0b4c4004ba2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b41800503c5e7a04a54819c596aa8fd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b12a4eecd249473a831d0ee472470240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27c0ab3e2d7698f082854bafe4174dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89f4eff3125c5e63a994ba1ad5be58e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9565876bc50bceb63e5793c8c67a9032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9565876bc50bceb63e5793c8c67a9032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8ec28f6f007c118c4fb3dc2e0531ca1.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/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3282e5fde4ae53fcb1bb072a685304c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e976c0663fa749ca749f99842d21ca03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69004a81950ee4b3a23dd3c0748be821.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e2dc498840932eb1f8e359e4e3b931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac12f7f9467c2d446c2d83df051d6f85.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa385ab812298518070dff2a4b8057d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
其中正确结论的序号为
您最近一年使用:0次
2023-05-23更新
|
816次组卷
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10卷引用:第01讲 导数的概念与运算(三大题型)(讲义)
(已下线)第01讲 导数的概念与运算(三大题型)(讲义)(已下线)【一题多变】零点估计 牛顿切线2020届宁夏银川景博中学高三下学期第一次模拟数学(文)试题(已下线)学科网3月第一次在线大联考(新课标Ⅰ)数学(文科)试题河南省郑州市2019-2020学年高二下学期阶段性学业检测题(5月) 数学(文)试题河南省郑州市2019-2020学年高二(下)期中数学(文科)试题(已下线)文科数学-学科网3月第一次在线大联考(新课标Ⅰ卷)(已下线)专题01 利用构造或猜想,解决数列递推问题 (第三篇)-2020高考数学压轴题命题区间探究与突破江西省萍乡市芦溪中学2022届高三上学期开学考试数学(理)试题(已下线)第三篇 数列、排列与组合 专题1 建立递推关系求通项公式 微点2 建立递推关系求通项公式综合训练
解题方法
10 . 在棱长为1正方体
中,点P满足
,其中
,
, 给出下列四个结论:
①所有满足条件的点P组成的区域面积为1;
②当
时,三棱锥
的体积为定值:
③当
时,点
到
距离的最小值为1;
④当
,有且仅有一个点P,使得
平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4704cbf3d2de2f06a6ee29b3c252109.png)
则所有正确结论的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c3defdd4d0c665d55184b84a7eb316f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac6b545127bd51036a5a7b0d3cd5b320.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3c2b83189d5b99fd82596824311035.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54e229cadeac6ea81a965c18cb55b5d.png)
①所有满足条件的点P组成的区域面积为1;
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2753dc1c83d54044b89e628a7eb247f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aab98011d732d4094e4e881b0bd2bd6.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/500d68f2678989a5ce7431cfd51b019d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e75704a4d3b18e9259f7639965b06f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e16f65c3a318220c2f5baac171bbb61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4704cbf3d2de2f06a6ee29b3c252109.png)
则所有正确结论的序号为
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