1 . 已知函数
满足:
.若函数
在区间
上单调,且
,则当
取得最小值时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2368152802235d8226a27d3910784811.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/655c89e928883251360546be8f2a739e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a847a2afdc2f6821fa267fe7d9e5c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351629c193354cdcf202133052e45028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d1540b6b10f07a867618a1eec02e2a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c823b1db20dcf7e5272b9b2f548c64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2368152802235d8226a27d3910784811.png)
您最近一年使用:0次
2 . 已知函数
则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8284f19fbb6bf2d49b86e9a2de4761.png)
A.当![]() ![]() ![]() |
B.对于![]() ![]() ![]() |
C.若方程![]() ![]() ![]() ![]() ![]() ![]() ![]() |
D.函数![]() |
您最近一年使用:0次
3 . 已知双曲线
的渐近线方程为
,点
在
上.
(1)求
的方程.
(2)设
是双曲线
的左顶点,过点
的直线
与
的右支交于
两点,直线
分别与直线
交于
两点.试探究:是否存在定点
,使得以
为直径的圆过点
?若存在求点
的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef66f4832adc43902055a7e6d258037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b6bb019e2d7c6d17d15ec4d9043f5e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1b15a4605fce993cb13aefbf40360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa154ac33703b5c836047b2143697c6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b650820d7bed48ed67a2869ad8c65ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
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4 . 对于函数
,
,若存在
,使得
,则称函数
为“不动点”函数,其中
是
的一个不动点;若存在
,使得
,则称函数
为“次不动点”函数,其中
是
的一个次不动点.
(1)判断函数
是否为不动点函数,并说明理由;
(2)若函数
在区间
上有且仅有两个不同的不动点和一个次不动点,求实数b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e02cab1add26335b3cb43d5b54c7c853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3102c0a2f53b80f9dddbf9352537e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f66a2b3d90f0d935d6c8ebaf675349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3102c0a2f53b80f9dddbf9352537e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f4a89a3721dd8a4327af943f864262.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/307741a3c808e81434905147c8d215c8.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0e021af921db84fb0c1379f4fb5bdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e11f4ca0e7ace69f92130d0525bcdb3.png)
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名校
5 . 已知函数
在区间
上恰有3个零点,则ω的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d08c44e202934be9d8c98b8566c5e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-27更新
|
917次组卷
|
4卷引用:四川省宜宾市2023-2024学年高一上学期期末学业质量监测数学试卷
四川省宜宾市2023-2024学年高一上学期期末学业质量监测数学试卷(已下线)高一数学期末模拟试卷02-《期末真题分类汇编》(北师大版(2019))湖南省长沙市麓山国际实验学校2023-2024学年高一下学期第一次学情检测数学试题广西壮族自治区钦州市浦北县浦北中学2023-2024学年高一下学期3月月考数学试题
6 . 已知
是圆
上的动点,且
.
是圆
的动点,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bf7d969ee6f3131219a0ae5d40e971e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080ca48cd27d4bf9d9ef084b558fc17a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0ac718bef601f96e5c542506009daa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3236613835e42ebb143c1ff3a1c75e1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 已如抛物线
的点为
,直线
与
交于
两点、则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4fb72e39d79b7a0cd892fa5fa34bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f6f1212ea1822365035920fa19e63c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
A.![]() ![]() ![]() |
B.若![]() ![]() |
C.设![]() ![]() ![]() |
D.过![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-01-24更新
|
146次组卷
|
2卷引用:四川省宜宾市普通高中2023-2024学年高二上学期学业质量监测数学试卷
8 . 如图,在三棱柱
中,四边形
是菱形,
分别是
的中点,
平面
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/16/293a9aca-ef01-4c1e-8714-8a7d693e945b.png?resizew=179)
(1)证明:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b212ff4649b37b655010ef687a5f4fe.png)
(2)若
,点
到平面
的距离为
.求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cf9b288c48c73463a2f214f02b6952a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31843423a08f214f073e0ffd85fdafb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4525c00ed908bed8ba8d353e747a858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45acdbac251ca6b76a166c1242e71df9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/16/293a9aca-ef01-4c1e-8714-8a7d693e945b.png?resizew=179)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b212ff4649b37b655010ef687a5f4fe.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731d05ce9acc78f92d88703672f70d61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
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9 . 一只蜜蜂从蜂房
出发向右爬,每次只能爬向右侧相邻的两个蜂房 (如图),例如:从蜂房
只能爬到
号或
号蜂房,从
号蜂房只能爬到
号或
号蜂房……以此类推,用
表示蜜蜂爬到
号蜂房的方法数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e8b81416d0ab26616288b2c5e8333a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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10 . 如图,已知正三棱台
的上、下底面边长分别为2和6,侧棱长为4,点P在侧面
内运动(包含边界),且AP与平面
所成角的正切值为
,点
为
上一点,且
,则下列结论中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455cfc19d4112a3b508304f889ff74cd.png)
A.正三棱台![]() ![]() |
B.点P的轨迹长度为![]() |
C.高为![]() ![]() |
D.过点![]() ![]() |
您最近一年使用:0次