1 . 已知抛物线
上任意一点
满足
的最小值为
(
为焦点).
(1)求
的方程;
(2)过点
的直线经过
点且与物线交于
两点,求证:
;
(3)过
作一条倾斜角为
的直线交抛物线于
两点,过
分别作抛物线的切线.两条切线交于
点,过
任意作一条直线交抛物线于
,交直线
于点
,则
满足什么关系?并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dac78092eec8d674c97589a30d687d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cd1ac4958d35abc7a64812eca930d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86e203b7c9a6600e0272c58a23733490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b8d5480c2dd9197e86d1989e70347f.png)
(3)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ebaa32f4f1f4f807ca9aeb7fb29951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4be563ee0cc1e5fe5abade7efbeda6a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a481f48bd003009e85fd18cc7e34ebe.png)
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2 . 设函数
为自然对数的底数.
(I)当
时,函数
在点
处的切线为
,证明:除切点
外,函数
的图像恒在切线
的上方;
(II)当
时,设
是函数
图像上三个不同的点,求证:
是钝角三角形.
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572663424352256/1572663430307840/STEM/ed7616e9869742c995ae61e6dbe53aab.png)
(I)当
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572663424352256/1572663430307840/STEM/a596ecfd6e6442b0929710d03832864e.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572663424352256/1572663430307840/STEM/ec6dbbc762c84aa0a356fb60a0c803d7.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572663424352256/1572663430307840/STEM/799a5f024f4b4c968f07b8fd04be59e9.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572663424352256/1572663430307840/STEM/c9a76dcd5fae4d5e9b61f124750b55c8.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572663424352256/1572663430307840/STEM/799a5f024f4b4c968f07b8fd04be59e9.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572663424352256/1572663430307840/STEM/ec6dbbc762c84aa0a356fb60a0c803d7.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572663424352256/1572663430307840/STEM/c9a76dcd5fae4d5e9b61f124750b55c8.png)
(II)当
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572663424352256/1572663430307840/STEM/640669c44a164f3186bad5aebf273116.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572663424352256/1572663430307840/STEM/3a306a184aa74b829628055c4b8af2b4.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572663424352256/1572663430307840/STEM/87c547d125ad4d6c8311da2965f5386d.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572663424352256/1572663430307840/STEM/cea054dbe1294d2f87e5ba91661bc1ad.png)
您最近一年使用:0次
3 . 过抛物线外一点
作抛物线的两条切线,切点分别为A,B,我们称
为抛物线的阿基米德三角形,弦AB与抛物线所围成的封闭图形称为相应的“囧边形”,且已知“囧边形”的面积恰为相应阿基米德三角形面积的三分之二.如图,点
是圆
上的动点,
是抛物线
的阿基米德三角形,
是抛物线
的焦点,且
.
的方程;
(2)利用题给的结论,求图中“囧边形”面积的取值范围;
(3)设
是“圆边形”的抛物线弧
上的任意一动点(异于A,B两点),过D作抛物线的切线
交阿基米德三角形的两切线边PA,PB于M,N,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b501de0a6ebd0c2f8143ac70d8b66649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2205cffebf8c4d5f81d15ed7b85c8936.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1cb81ad58dc0521d4692a0404ecad2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf1a7bb97f1c79c3f7bf664b78c20b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)利用题给的结论,求图中“囧边形”面积的取值范围;
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6833e56be18e5a0123210cbcaa0df2b.png)
您最近一年使用:0次
2024-03-29更新
|
1147次组卷
|
4卷引用:重庆市第一中学校2023-2024学年高二下学期第一次月考数学试题
重庆市第一中学校2023-2024学年高二下学期第一次月考数学试题江苏省南京航空航天大学苏州附属中学2023-2024学年高三下学期二模阳光测试数学试题(已下线)第6题 设点or设线解决阿基米德三角形问题(压轴大题)黑龙江省大庆市实验中学实验二部2023-2024学年高三下学期得分训练数学试题(四)
4 . 我们知道通过牛顿莱布尼兹公式,可以求曲线梯形(如图1所示阴影部分)的面积
,其中
,
.如果平面图形由两条曲线围成(如图2所示阴影部分),曲线
可以表示为
,曲线
可以表示为
,那么阴影区域的面积
,其中
.
在区间
与
的图形分别为直径为1的上、下半圆周,在区间
与
的图形分别为直径为2的下、上半圆周,设
.求
的值;
上某一个点处作切线,便之与曲线和x轴所围成的面积为
,求切线方程;
(3)正项数列
是以公差为d(d为常数,
)的等差数列,
,两条抛物线
,
记它们交点的横坐标的绝对值为
,两条抛物线围成的封闭图形的面积为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f102cb4c683b01f1cd728f543f703f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924840404483fbdef9af58e844c001ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babadc15694ea4139b1bb919a7d49b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bc1742d6a5f52c750720b3f099c3fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfbd9b2c33ae11831377f140b728ca50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38b668edb1a8974b1e882f78178b265c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8d35b10249abb8a2d50677f56db638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac9833eb592cadc3503eebc041aab21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/376cd70523564eb2a9b8509ca5fec6ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bc5c4dc60dacc4d88d0e929574c0f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2cc4cd1e8bcb4b75b6e799156736e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f76d4f2878eb5a4879b74719b8a69c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12c3b46e63249a782f911667bbd68e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61f3ad8e800d5fde4f5e48567509a074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d7abf02717d6e59d8a64a65a87c412.png)
(3)正项数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0c92880b4a88b78d0324564628be0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8c5c0257094e981bec043dfa99a6373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9929daf4497eb9657b95b17b212a0886.png)
您最近一年使用:0次
名校
5 . 定义:若函数
图象上恰好存在相异的两点
满足曲线
在
和
处的切线重合,则称
为曲线
的“双重切点”,直线
为曲线
的“双重切线”.
(1)直线
是否为曲线
的“双重切线”,请说明理由;
(2)已知函数
求曲线
的“双重切线”的方程;
(3)已知函数
,直线
为曲线
的“双重切线”,记直线
的斜率所有可能的取值为
,若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ece491f9ba053a2ead5ad54138d779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d430e6eb5f8b43723db095937fbc74f7.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5776b27d76690a67770d954a47bfb0f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6f04900fb8400a415b1067320a2f43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e540ef465ca68c186cc972d54d3a268e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6b9ccddda8585a04f8ab4d4b4583a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a097fa8e3bfa45de1ea35f1ad907fe3.png)
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2024-04-17更新
|
1213次组卷
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5卷引用:广西2024届高三4月模拟考试数学试卷
广西2024届高三4月模拟考试数学试卷河北省邢台市2024届高三下学期教学质量检测(一)数学试题(已下线)模块五 专题5 全真拔高模拟5(苏教版高二期中研习)辽宁省辽阳市2023-2024学年高三下学期二模数学试卷(已下线)专题16 对数平均不等式及其应用【练】
2024·全国·模拟预测
解题方法
6 . 在平面直角坐标系
中,过点
的直线与曲线
交于
两点,若曲线
在
处的切线相交于点
.
(1)求证:点
的轨迹是一条直线;
(2)求
面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3c9708ef0dc6d6f5dcf6596d3e4f6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f4123c19136d3a4dc040dce8e34e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f4123c19136d3a4dc040dce8e34e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(1)求证:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e8c7968d57d2a20065a7cb15c9b4eb.png)
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7 . 形如
的函数是中学数学常见的函数模型之一,因其图象上半部分像极了老师批阅作业所用的“√”,所以也称为“对勾函数”.研究证明,对勾函数可以看作是焦点在坐标轴上的双曲线绕原点旋转得到,即对勾函数的图象是双曲线,直线
是它的一条渐近线.点
是双曲线
上任意一点,在点
处作双曲线的切线,交渐近线于
两点,已知
为坐标原点,则
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dac232e345d6a0d28050cbd3530b836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1447dbe580ac5c825776995118e75acf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe070bbd212e64ee71cd3d6c6b3612c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e52586ca2a3b783bc8092415e2d4bf6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
A.![]() | B.![]() | C.![]() | D.2 |
您最近一年使用:0次
2023-09-23更新
|
288次组卷
|
3卷引用:四川省南充市2024届高三高考适应性考试(零诊)文科数学试题
四川省南充市2024届高三高考适应性考试(零诊)文科数学试题四川省南充市2024届高三高考适应性考试(零诊)理科数学试题(已下线)湖南省长沙市长郡中学2024届高三上学期月考(二)数学试题变式题6-10
8 . 设函数
的定义域是R,它的导数是
.若存在常数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
,使得
对一切
恒成立,那么称函数
具有性质
.
(1)求证:函数
不具有性质
;
(2)判别函数
是否具有性质
.若具有求出
的取值集合;若不具有请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7fda90490b6b98cb1f0878b0cace041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fba5ea849aab72de21cc7f50868234c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/834925e383a1e904951eea76b55bcb4f.png)
(1)求证:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eae1b87c23b45ce5e5e74d5b1d73234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/834925e383a1e904951eea76b55bcb4f.png)
(2)判别函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/834925e383a1e904951eea76b55bcb4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-04-13更新
|
696次组卷
|
5卷引用:上海市奉贤区2023届高三二模数学试题
上海市奉贤区2023届高三二模数学试题(已下线)专题03 导数及其应用(已下线)专题04 三角函数与解三角形(已下线)重难点04导数的应用六种解法(2)吉林省延边朝鲜族自治州和龙市第一高级中学校2023-2024学年高二下学期第一次月考数学试卷
9 . 已知函数
.
(1)若
,求函数
的图像在
处的切线方程;
(2)若
,
是函数
的两个极值点,求
的取值范围,并证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/873b9262b539ce8d5dedd2abb1d391d5.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9088310f1b06d5f580e99b2660f1902.png)
您最近一年使用:0次
2023-05-19更新
|
451次组卷
|
4卷引用:甘肃省金昌市2023届高三二模数学(文)试题
10 . 对于三次函数
,定义:设
是函数
的导函数
的导数,若
有实数解
,则称点
为函数
的“拐点”.现已知
.请解答下列问题:
(1)求函数
的“拐点”A的坐标;
(2)求证:
的图像关于“拐点”A对称,并求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75044e0301ef9def5c1a1c8e6f2cba77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47db775f5675cd10012f964a336832f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4a5292f6af433342a866336d05fe5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de68bc1a57041a038aea6711c8848999.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4724249ffd113d05e9a1806c90647e.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44497598c08c9e219a7737af9faa1d87.png)
您最近一年使用:0次
2022-09-30更新
|
520次组卷
|
6卷引用:河南省南阳市第一中学校2022-2023学年高三上学期第二次阶段考试文科数学试题
河南省南阳市第一中学校2022-2023学年高三上学期第二次阶段考试文科数学试题山西省晋中市平遥县第二中学校2023届高三上学期10月月考数学试题(已下线)1.2.2 函数的和差积商求导法则(同步练习)2022-2023学年高二选择性必修第二册素养提升检测(提高篇)(已下线)5.2 导数的运算(2)(已下线)第01讲 导数的概念与运算-【寒假预科讲义】2024年高二数学寒假精品课(人教A版2019)(已下线)2023-2024学年高二下学期第一次月考解答题压轴题十六大题型专练(1)