名校
解题方法
1 . 如图,在多面体
中,平面
平面
,侧面
是正方形,
平面
,四边形
与四边形
是全等的直角梯形,
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40b880d53dc18d77623d5991793dc364.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/648f167f5fd31ba855436f5898a0e240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50cfd99a702ee24f9ef94e4b6f50101f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f30533da2e1d2a958dc906c37eba9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50cfd99a702ee24f9ef94e4b6f50101f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce463fb3ce4b3d49d470f66471fe4c15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/064a7cd6e8b6ffc3b2574de2b04af06b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/27/20f82714-86fd-4eb0-a0fb-18674ca7cbad.png?resizew=158)
A.![]() | B.异面直线![]() ![]() ![]() |
C.直线![]() ![]() ![]() | D.多面体![]() ![]() |
您最近一年使用:0次
2023-09-26更新
|
489次组卷
|
2卷引用:云南省楚雄市东兴中学2024届高三上学期12月月考数学试题
名校
解题方法
2 . 已知椭圆
:
的右焦点为
,过点
作倾斜角为
的直线交椭圆
于
、
两点,弦
的垂直平分线交
轴于点P,若
,则椭圆
的离心率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d0d980b756af41405b2747bb646d93f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
您最近一年使用:0次
2023-08-27更新
|
3158次组卷
|
13卷引用:云南省昆明市嵩明县2024届高三上学期期中考试数学试题
云南省昆明市嵩明县2024届高三上学期期中考试数学试题(已下线)第八章 解析几何 专题3 复杂背景的离心率的求解问题浙江省绍兴蕺山外国语学校2023-2024学年高三上学期9月检测数学试题(已下线)重难点突破04 轻松搞定圆锥曲线离心率十九大模型(十九大题型)-4湖北省荆州市松滋市第一中学2024届高三上学期迎一检模拟检测(三)数学试题浙江省名校新高考研究联盟(Z20名校联盟)2024届高三上学期第一次联考数学试题(已下线)3.1.2 椭圆的简单的几何性质(AB分层训练)-【冲刺满分】2023-2024学年高二数学重难点突破+分层训练同步精讲练(人教A版2019选择性必修第一册)四川省眉山市眉山冠城七中实验学校2023-2024学年高二上学期期中数学试题(已下线)第三章 圆锥曲线的方程(压轴题专练)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第一册)湖南省长沙市长郡中学2024届高三寒假作业检测(月考六)数学试题湖北省武汉市武钢三中2024届高三下学期开学考试数学试题吉林省通化市梅河口市第五中学2023-2024学年高二上学期第二次月考数学试题广东省广州市广东实验中学2024届高三教学情况测试(一)数学B卷
名校
解题方法
3 . 定义域为
的函数
满足:当
时,
,且对任意的实数x,均有
,记
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d31d07e0e178dd81de9ab409d9475e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afe3feedfbff1dae12d868db4395ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186c0bbc8767d465381e390fb5b1dfab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ef2a45773db8d347f0cfa4e4fca7fd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d48c3fce28a173a64febb17628959e1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-08-26更新
|
824次组卷
|
2卷引用:云南师范大学附属中学2024届高三高考适应性月考卷(二)数学试题
名校
解题方法
4 . 已知
,
.
(1)当
时,求
的最小值;
(2)若
在
上恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ec6522e48ba0445dd89d31d38d54846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64e95b6c9c64af20e2cf63f28f4a9343.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e653994b245fbdc2ac3458429c65e69e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
您最近一年使用:0次
2023-08-24更新
|
714次组卷
|
3卷引用:云南师范大学附属中学2024届高三高考适应性月考卷(二)数学试题
云南师范大学附属中学2024届高三高考适应性月考卷(二)数学试题贵州省天柱民族中学2024届高三上学期第一次月考数学试题(已下线)第五章 一元函数的导数及其应用(压轴题专练,精选34题)-2023-2024学年高二数学单元速记·巧练(人教A版2019选择性必修第二册)
名校
5 . 设
,
,
,函数
,
.
(1)讨论函数
的单调性;
(2)若
时,函数
有三个零点
,
,
,其中
,试比较
与
的大小关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5331eda67df4c98b3e0dc31a46d381ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a64103561364ac4c9460a72c9e154bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ded5b08362289af5696ca4cd1a6f36d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43f291d4a407115b7a83c2621489f5df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0a92b7176bb67c18ca5f043eba98b5.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ce4cea6c8b740796100f76320ae9806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10db649c154fc538026c0779325b91f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd39b02127b0b5085c2dcc7205f5a21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3f0f405ce844313744d1ccfd222c3dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cec733ccf28e47e673cb7d4a73be08a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b546dfbc651d94c624d57b25bcee6331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86e20d46ff63add7948a6a26c7baa9ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
您最近一年使用:0次
2024-01-12更新
|
430次组卷
|
10卷引用:云南师范大学附属中学2023届高三第十次高考适应性考试数学试题
名校
解题方法
6 . 已知
,
为椭圆
的左、右顶点,
,
为左、右焦点,离心率
,
为椭圆上的动点,当
时,
的面积为
.
(1)求
的方程;
(2)若
,
为椭圆
上异于
的点,直线
,
均与圆
相切,记直线
,
的斜率分别为
、
,是否存在位于第一象限的点
,使得
?若存在,求出点
的坐标;若不存在,请说明理由.
![](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/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234e7679481ec0d01c915b7fbb71891d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f9bdc6d9f09e14b037ea7d3ee1f623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d599cb4a589f90b0205f24c2e1fa021e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902f97913e1af1e6c793f7edfe6b2114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef028a7c4902607b1d84c3eac268934b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902f97913e1af1e6c793f7edfe6b2114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46b728c0e69820cdcd839e67ffdb1014.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
名校
7 . 如图,在菱形
中,
,
,将
沿
折起,使
到
,点
不在底面
内,若
为线段
的中点,则在
翻折过程中,以下说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5640c531110986a503de677715770e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb97aff0960e2640314888a38e7169c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/4/efc438b6-0fbc-4e90-a3c2-cf2dec403996.png?resizew=200)
A.![]() |
B.四面体![]() ![]() |
C.不存在点![]() ![]() |
D.当二面角![]() ![]() ![]() ![]() |
您最近一年使用:0次
8 . 已知抛物线
,其顶点在坐标原点,直线
与抛物线交于M,N两点,且
.
(1)求抛物线O的方程.
(2)已知
,
,
,
是抛物线O上的三个点,且任意两点连线斜率都存在.其中
,
均与
相切,请判断此时圆心
到直线
的距离是否为定值,如果是定值,请求出定值;若不是定值,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb2209de3b40c21ab077d1648c21ad5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0b06dc01c30d13f64be2ac6a1d811e.png)
(1)求抛物线O的方程.
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e2ea47e3cee34161ec2f82cacb279d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/473913c0887bb64d386f4c02f1853452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4841a7238ffb7413e715d0dfde3c15f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669e8dfb2b45e6f74d86408343a18fe2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11603c89c66f064b263af841dae023f4.png)
您最近一年使用:0次
9 . 已知椭圆
的左右焦点分别为
,直线
(
)与椭圆相交于
两点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82766cfd2b7c59c7fac5b827ae5863b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a4ea8632b4e4227131ba693deb10233.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/872c3be2b4093ce053d01ee7a521bb07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
A.当![]() ![]() ![]() | B.不存在![]() ![]() |
C.存在![]() ![]() | D.存在![]() ![]() |
您最近一年使用:0次
名校
10 . 已知点
是抛物线
:
的焦点,直线
:
与
相交于
,
两点,过点
,
分别作
的切线交于点
,点
是弦
的中点,点
是线段
的中点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/088fcdd595455906a1a7080d630611f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0189d4c890b2f150fc4ab7664a86294c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3511cdc6a9b56bc1d9415d3d94ef0f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
A.![]() | B.直线![]() ![]() |
C.点![]() ![]() | D.![]() |
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2023-12-30更新
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515次组卷
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3卷引用:云南省昆明市云南民族大学附属高级中学2024届高三上学期12月月考数学试题