解题方法
1 . 关于多项式
的展开式,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bbcdab9e5582aedea694283621ce41e.png)
A.常数项为-88 | B.![]() |
C.展开式的系数和为32 | D.展开式含有![]() |
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2 . 如图1,在矩形
中,点
在边
上,
,将
沿
进行翻折,翻折后
点到达
点位置,且满足平面
平面
,如图2.
在棱
上,
平面
,求证:
;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f3452ea0e58f742fb186649bad313.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b43490ca09467a4c8cd8cfe91c94e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90d96357a07048ba79b8c84097d359d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01ff27eea7545bb06f9472f91290c54e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/023d5c16792e49aba28bdd247066fd89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b531d8942d7abebb7170daa6c0a789f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bee2e5c0fb3e9fd70efa8a0884bf9130.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e582d73b96ba649378379c3074d506d.png)
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3 . 已知
为平面上一个动点,
到定直线
的距离与到定点
距离的比等于
,记动点
的轨迹为曲线
.
(1)求曲线
的方程;
(2)过点
的直线
与曲线
交于
,
两点,在
轴上是否存在点
,使得
为定值?若存在,求出该定值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63309dbc3612815f6dbdee23d9a10adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59880e470359d8e9faf6ae5ce155cf2a.png)
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4 . 已知函数
在区间
上的值域均为
,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc98aa464f5703280a26f2b5129c51bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92023dcb4908babd9109b157a78d0a32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c7166ee4d493e97d929ac9a9fe339a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
5 . 近年来,养宠物的人越来越多,在供需端及资本的共同推动下中国宠物经济产业迅速增长,数据显示,目前中国养宠户数在全国户数中占比为
.
(1)把频率作为概率,从中国家庭中随机取4户,求这4户中至少有3户养宠物的概率;
(2)随机抽取200名成年人,并调查这200名成年人养宠物的情况,统计后得到如下列联表:
依据小概率值
的独立性检验,判断能否认为养宠物与性别有关?
(3)记2018-2023年的年份代码x依次为1,2,3,4,5,6,中国宠物经济产业年规模为y(单位:亿元),由这6年中国宠物经济产业年规模数据求得y,关于x的回归方程为
,且
.求相关系数r,并判断该回归方程是否有价值.
参考公式及数据:
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
回归方程
,其中
,
,相关系
,若
,则认为y与x有较强的相关性.其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ffd5c35bba71ea54c28622b6cf505d.png)
(1)把频率作为概率,从中国家庭中随机取4户,求这4户中至少有3户养宠物的概率;
(2)随机抽取200名成年人,并调查这200名成年人养宠物的情况,统计后得到如下列联表:
成年男性 | 成年女性 | 合计 | |
养宠物 | 38 | 60 | 98 |
不养宠物 | 62 | 40 | 102 |
合计 | 100 | 100 | 200 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bdaf501302beeec9d077be02909e3bd.png)
(3)记2018-2023年的年份代码x依次为1,2,3,4,5,6,中国宠物经济产业年规模为y(单位:亿元),由这6年中国宠物经济产业年规模数据求得y,关于x的回归方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ef1a1123f3cbf1c4d9896ba82051f89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c71d8528cde08fe5c1686a8ec0067fd8.png)
参考公式及数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2187714e660234f0b72f2b47d3ea685a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
0.10 | 0.05 | 0.01 | |
2.706 | 3.841 | 6.635 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1db6103cb0f1d2bd6b19235d53ee7e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183200de4ff08be4eb636e8169c099a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58291bd91befe1061530246da983727.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d62e7e496bab282e2475829358054202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2991502b0be7df4183b9e42b6c53c6e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31815979a4ab71755f89089d4e988a3c.png)
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6 . 已知
.
(1)求函数
的单调区间;
(2)若
,
有三个不同的零点,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67cc2b6b277ed09681b0a0316edf2ae8.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db8f867196410e2828e2bbd3183b02d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd1017814e9883c21b17e43703a7272.png)
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名校
7 . 已知函数
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbdfe48038034eb671b3852e261c24f3.png)
A.![]() ![]() | B.![]() ![]() |
C.方程![]() | D.导函数![]() ![]() |
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7日内更新
|
931次组卷
|
2卷引用:河北省衡水市第二中学2023-2024学年高二下学期6月期末素养评估数学试题
名校
8 . 已知函数
.
(1)若曲线
在点
处的切线方程为
,求
和
的值;
(2)讨论
的单调性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f73397c4d12734a677d025078bbb72e.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9bd144e0e96e4236a14523e0729cacb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
7日内更新
|
654次组卷
|
3卷引用:河北省邢台市名校联盟2023-2024学年高二下学期第三次月考(6月)数学试题
河北省邢台市名校联盟2023-2024学年高二下学期第三次月考(6月)数学试题吉林省部分名校2023-2024学年高二下学期联合考试数学试题(已下线)核心考点2 导数几何意义和函数的单调性、极值 专题讲解 B提升卷 (高二期末考试必考的10大核心考点)
名校
9 . 如图,在正四棱台
中,
,
,球
与正四棱台的各面均相切,半径为
,平面
与平面
的交线为
.
平面
;
(2)求球
与正四棱台的体积之比;
(3)求平面
与平面
夹角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570f8b295ee0c7c60e6fe1dbf054ff52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79df88b50a16332104a17283c29e539d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/887628a7127205b52d75c6d5e99286c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a4afe69e9ee3c701f1f109c3a0a7d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ebb05874eb3353d754af24c9974273e.png)
(2)求球
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f919bd3dde10dbbc076f7ec5149699.png)
(3)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79df88b50a16332104a17283c29e539d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/887628a7127205b52d75c6d5e99286c6.png)
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10 . 如图,在正方体
中,
,
,
分别是棱
,
,
的中点.
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b70cef0b79ca64acbb67dc667fc53b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1885efcff0b903e314057dd153578600.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
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