1 . 已知函数
.
(1)用定义证明
在区间
上是增函数;
(2)求该函数在区间
上的最大值与最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c117702f7682a02c401e28e696d851cf.png)
(1)用定义证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03db4ea1dcb63b22cf4e917df5db581e.png)
(2)求该函数在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3814eb9efb5ccd9969ac39bcfbd0ce05.png)
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名校
解题方法
2 . 如图在四棱锥
中,底面
是正方形,侧棱
底面
,
,
是
中点,作
交
于点
.
(1)求证:
平面
;
(2)求证:PB
平面
;
(3)求
点到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40d4d36ae30487030b827ce9413b9f13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4a6a1e70241d600bc6c104313eac61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/11/0db22f59-24d4-4d50-95d1-ec5bb95a7512.png?resizew=187)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8c2b786c64e6a9ed2ec5670cde74f86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466fabcaac59132fea648ff35342ec9d.png)
(2)求证:PB
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebce46aeb97373353179e5669365fa4a.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebce46aeb97373353179e5669365fa4a.png)
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2023-12-15更新
|
438次组卷
|
2卷引用:湖北省仙桃市田家炳实验高级中学2023-2024学年高二上学期期中数学试题
名校
解题方法
3 . 已知数列
的通项公式为
,且
为递减数列,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284391ccb52b25ecd5cf18d0079decac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2023-12-08更新
|
1012次组卷
|
7卷引用:湖北省仙桃市田家炳实验高级中学2023-2024学年高二上学期期中数学试题
湖北省仙桃市田家炳实验高级中学2023-2024学年高二上学期期中数学试题四川省南充市阆中中学校2024届高三一模数学(文)试题重庆市第八中学校2023-2024学年高二上学期第二次月考数学试题广东省梅州市梅雁中学2023-2024学年高二上学期12月月考数学试题(已下线)4.1 数列的概念(8大题型)精练-2023-2024学年高二数学题型分类归纳讲与练(人教A版选择性必修第二册)(已下线)第四章:数列章末综合检测卷-2023-2024学年高二数学题型分类归纳讲与练(人教A版2019选择性必修第二册)(已下线)专题04 数列的概念与等差数列(3)
解题方法
4 . 已知
,则点
到直线
的距离( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e4051bf3d8fcb403f9ecf7840dbe52c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 等差数列
的前n项和记为
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2414a02d5b6661dd6dedceef76e85ee2.png)
A.![]() | B.![]() |
C.![]() | D.当且仅当![]() ![]() |
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6 . 已知一元二次方程
有两个不同的实数根
,则“
且
”是“
且
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9ff52ec8dab4aaac7b28a0efe580d86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dce3f67f8c91c249bae3ac1887cb6b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1cc4329e9ce6769a28037a0884f2c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531955deefb7e5ec60306f17880b7c3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1663c9dbac392413128c4c78c18a5fcc.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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7 . (1)若关于
的不等式
的解集为
,求m的值;
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c80ccd15a24fa6842355e716ed0c8dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07ac911eecfe54fcc18548bbb053dd57.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/592f337fffd08b372c9250fde3268db4.png)
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解题方法
8 . (1)已知
,求函数
的最大值,并求出此时x的值;
(2)已知
,且
,求
的最小值,并求出此时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afeccf0358c02b53554a0f6d3dc33cbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ebaefefc8792c2615e29505c201e3b6.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69ee6696dee035519e1ba7fb78269830.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44ecae5f8753141cf8d274afb20a1907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43895441ab985675e2facdedf18575dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
您最近一年使用:0次
解题方法
9 . 已知集合
.若
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b933048f57ad266ca94eab5e637401e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
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10 . 已知
,
.
(1)求
的取值范围;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/334138e91cc3086a9aeb9dd752b6b4f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce586c00c05ec7a2498c8e55d5dfc979.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6f3c30a6691c86db14441bd51d777d.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5fbef7f8c4a637803773647e17388b5.png)
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