名校
1 . 已知函数
,函数
,若函数
恰有
个不同的零点,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69f6ffe8d596c5b484e040d7cc932d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ee74005f96885cc6b05c2caaaa8a62c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df49341b57eb107f416a014903ce25a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2019-11-16更新
|
847次组卷
|
10卷引用:2016届江苏省苏州大学高考考前指导卷2数学试卷
2016届江苏省苏州大学高考考前指导卷2数学试卷2017届江苏南通中学高三上期中数学(理)试卷【全国校级联考】江苏省无锡市江阴四校2017-2018学年高二下学期期中考试数学(文)试题(已下线)2017-2018学年度下学期高二数学期末备考总动员C卷文科01江苏省徐州市2019届高三第一学期期中模拟试卷数学专题3.1 函数与方程-学易试题君之同步课堂帮帮帮2019-2020学年高一数学人教版(必修1)江苏省扬州市邗江区2019-2020学年高一上学期期中数学试题辽宁省大连市第二十四中学2019-2020学年高一上学期期中数学试题江苏省扬州中学2019-2020学年高三下学期4月月考数学试题天津市五校2019-2020学年高二下学期期末数学试题
2 . 已知
,定义
.
(1)求函数
的极值;
(2)若
,且存在
使
,求实数
的取值范围;
(3)若
,试讨论函数
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/524ba6c1ced004ff8e28fd7a8bd27979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4670bc4c5a40b59c34ee09f9be58136.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d7d0dfbb5f925614f1d71371db6f996.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ac16d9e3f3e192ae3a9315935f38155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9f049a5f960728c60a909821b2404b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/459f767ba4e0c31b362146810bcdd8ca.png)
您最近一年使用:0次
解题方法
3 . 已知函数
,其中
.
是自然对数的底数.
(1)若曲线
在
处的切线方程为
.求实数
的值;
(2)① 若
时,函数
既有极大值,又有极小值,求实数
的取值范围;
② 若
,
.若
对一切正实数
恒成立,求实数
的最大值(用
表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd36b541e26d9c41ffd41564da2b7805.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11204e2fb6e560bf7a4ca26eaebfc526.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f77358bc6266da464c4900f13fa16d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)① 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
② 若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182456ca1ba2add25922c89e37e0fb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8806cf7a8fc63b64625ab53b3cf36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2016-12-04更新
|
973次组卷
|
4卷引用:2016届江苏省苏州大学高考考前指导卷1数学试卷
名校
4 . 已知两个无穷数列
分别满足
,
,
其中
,设数列
的前
项和分别为
,
(1)若数列
都为递增数列,求数列
的通项公式;
(2)若数列
满足:存在唯一的正整数
(
),使得
,称数列
为“
坠点数列”
①若数列
为“5坠点数列”,求
;
②若数列
为“
坠点数列”,数列
为“
坠点数列”,是否存在正整数
,使得
,若存在,求
的最大值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6dcba920904a03e3f950e962cc8c7ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c24b7044e015a244ab14ec40ebf6ad7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a709a6666d117c55ecf9604fa97b4ec7.png)
其中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d726666f99a5a41dd673a2330e377b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6dcba920904a03e3f950e962cc8c7ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478421b81927e435cbcf5acafa89efd7.png)
(1)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6dcba920904a03e3f950e962cc8c7ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6dcba920904a03e3f950e962cc8c7ad.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c88a7ef007c78a93e33bd77c4396626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1707546ddf59ebb4e539acc2d33c18c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6bd87566c26446e13f685f419376f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c88a7ef007c78a93e33bd77c4396626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
①若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
②若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43b7e7cd571c8cd141cbbfe5d0890bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d45a4a72bdca2a17b689b34387e816d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2016-12-04更新
|
425次组卷
|
7卷引用:2016届江苏省苏州大学高考考前指导卷2数学试卷
2016届江苏省苏州大学高考考前指导卷2数学试卷2016届江苏省扬州中学高三3月质量检测数学试卷2016届上海市浦东新区高三上学期期末质量抽测数学试题江苏省泰州中学2018届高三上学期开学考试数学试题(已下线)《2018届优等生百日闯关系列》【江苏版】专题二 第五关 以子数列或生成数列为背景的解答题(已下线)《2018届优等生百日闯关系列》【江苏版】专题二 第六关 以新定义数列为背景的解答题上海市西南位育中学2019-2020学年高三上学期期中数学试题