1 . 计算
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca88a71892959053c05b2e81d13339fc.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f9a8131d11d72de3d2ef17960871cba.png)
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2 . 计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200b8820dc813f802a6ff513788d23da.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200b8820dc813f802a6ff513788d23da.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae193ce0b2a9b370eb90363fe1f5044.png)
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3 . 求下列函数的导数.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c56ec2258720b77cd82dc6510acc563b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36f099bcfb5ad7f22881c1e32312ac63.png)
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2024高三·全国·专题练习
4 . 下面是某同学在学段总结中对圆锥曲线切线问题的总结和探索,现邀请你一起合作学习,请你思考后,将答案补充完整.
(1)圆
上点
处的切线方程为 ?请说明理由.
(2)椭圆
上一点
处的切线方程为 ?
(3)
是椭圆
外一点,过点
作椭圆的两条切线,切点分别为A,B,如图,则直线
的方程是 ?这是因为在
,
两点处,椭圆
的切线方程为
和
.两切线都过
点,所以得到了
和
,由这两个“同构方程”得到了直线
的方程;
,
斜率都存在时,设它们方程的统一表达式为
,由
,得
,化简得
,得
.若
,则由这个方程可知
点一定在一个圆上,这个圆的方程为 ?
(1)圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cd432589cb00c29cac1806288e99ed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22962a2ad892cb6b14ab039a06e8cdc6.png)
(2)椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23b4f86e48e2b0d63c1865c60ed1e4d1.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21872d8f6a518e0a2993ccf7a795ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc19b2381300bcb0920fb86b2976098a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac5cb33767f3bea3a7d99f995e48755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac254ffeb189342bf397010c97f9167.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b401183b99948a51c9e005c85951a823.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43091ed6e1c36fbfd8e8799ce12a5973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb05438f51bde5d82b255acf92987b74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c79938f3fa4f4b641f3b404cf86647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f0d24f0e0d63565b7a0199829a311b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c2b0eb6b8e515c616b5cdd4c37fefc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d88ef4fb1efa18408df2f47ed3f7ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83640592853a53872d7af69c0cffc1bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2023-11-13更新
|
970次组卷
|
5卷引用:专题11椭圆(3个知识点7个拓展2个突破7种题型2个易错点)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(人教A版2019选修第一册)
(已下线)专题11椭圆(3个知识点7个拓展2个突破7种题型2个易错点)-【倍速学习法】2023-2024学年高二数学核心知识点与常见题型通关讲解练(人教A版2019选修第一册)广西百色市平果市铝城中学2023-2024学年高二下学期4月月考测试数学试卷(已下线)重难点突破14 阿基米德三角形 (七大题型)(已下线)考点20 常用的二级结论的应用 2024届高考数学考点总动员(已下线)新题型01 新高考新结构二十一大考点汇总-3
名校
5 . (1)已知
,求
的值
(2)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c62c8713c6e674feb4e2b811a1e93700.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a696dd9dca3bd99c19f059230e8d290.png)
(2)求值:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a547092beb93ff6ae989abc4e9154e57.png)
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2024-03-06更新
|
232次组卷
|
2卷引用:山东省聊城颐中外国语学校2023-2024学年高二下学期第三次自我检测数学试题
6 . 计算:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4fc36223df826441b197b3f47982232.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4fc36223df826441b197b3f47982232.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/185a1407715689bb0e3e0d8c98a350ae.png)
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23-24高二上·江苏·课前预习
解题方法
7 . 已知
为等比数列.
(1)若
,求
;
(2)若
,
,求
;
(3)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30150307a0e0a89f7772a3f44de8d65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba80bbcfba311b30e935d533cd4acdf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9645bd4d2002993b90ec6d48f9c04f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ebfbabb71da046c917528410b2e403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb1bd430a80a323df20b5c2fe46ce0b.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/988612f5c1ec8a4ddadac21f9e4d3805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e638a91ce94abce758416241f67fbb5.png)
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2023高二上·江苏·专题练习
解题方法
8 . 根据下列条件分别写出直线的方程,并化为一般式:
(1)斜率是
,且经过点
;
(2)斜率为
,在
轴上的截距为
;
(3)经过
,
两点;
(4)在
轴、
轴上的截距分别为
.
(1)斜率是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4665b20346a6ef3fce4d7923d78c17a7.png)
(2)斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74eb8a7738402df52d4a97262b85ca0.png)
(3)经过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2397167d25171875d0a0678163482f01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5ed58d6bbf8cd29bdff986691116eb.png)
(4)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8129d06516a3affd99ef5bc5e140f970.png)
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23-24高二上·江苏·课前预习
9 . 求下列函数的导数:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67736addb76d8ae8a0d05990921d63db.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44c8cfdd9cf18c97266eadeea05c696.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9bc1bc394eb8cada17f6ced001223d.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d82b29ac6916f543bffc706bd8c6f335.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad5a81c24d91be87297455d515f00b66.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1fdb83c5f9991113aa6825c4d3ce33.png)
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2024-01-15更新
|
2382次组卷
|
4卷引用:第五章 导数及其应用(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(苏教版2019选择性必修第一册)
(已下线)第五章 导数及其应用(知识归纳+题型突破)-2023-2024学年高二数学单元速记·巧练(苏教版2019选择性必修第一册)(已下线)2.5 简单复合函数的求导法则4种常见考法归类-【帮课堂】2023-2024学年高二数学同步学与练(北师大版2019选择性必修第二册)(已下线)模块一 专题4 【讲】《导数的概念、运算及其几何意义》(人教B2019版)(已下线)模块一 专题5《导数的概念、运算及其几何意义》【讲】(高二北师大版)
23-24高二上·江苏·课前预习
10 . 求下列函数的导数:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f6a58d2dadca3b4024fad58a007c289.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28693cd6bdee6125858466e4667a6773.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c37e6b1034678744c2a4add0e6fee577.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2702a5539ca829b8b7a08407f0996e8a.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b6724e300c2ec5478bac0797f828f94.png)
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