名校
解题方法
1 . 已知函数
.
(1)设
,求
的极值点的个数;
(2)设
在区间
中至少有一个极值点,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d2b144141f1f8b906ea8d5b289e981b.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2be3ad3dd6803d92df6ff8a80cd35095.png)
您最近一年使用:0次
2022-06-22更新
|
268次组卷
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2卷引用:四川省遂宁市射洪中学2021-2022学年高二下学期第三次月考文科数学试题
名校
2 . 已知
“直线
与圆
相交”;
“
有一正根和一负根”.
(1)若
为真,求
的范围;
(2)若
为真,
为真,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40897db190d657aa67e62a3bc0a49331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e383fcc122f267043fbafe0972bfb900.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac185ecf70e8175b1b74f13800325a3b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ffc1bb9d53a27d484396ad74d6a26e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2021-10-07更新
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221次组卷
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2卷引用:四川省成都市新津区新津中学2020-2021学年高二上学期12月月考数学(文科)试题
名校
3 . 若命题
方程
有两个不等正根;
方程
表示双曲线.
(1)若
为真,求实数
的取值范围;
(2)若
为真,
为假,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f03260351b16660e7fd1293fc91708f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4ea5c1de4b41af90aa3c1d51144fa57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b87b75e235b2083f0f1a3f8249ccb3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2021-10-06更新
|
328次组卷
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2卷引用:四川省成都市石室中学2020-2021学年高二上学期期中数学(文科)试题
名校
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661423499533bb804466f330efc5f2e6.png)
当
时,求函数
的定义域;
若存在
使关于
的方程
有四个不同的实根,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661423499533bb804466f330efc5f2e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a84c5c7a0075f3d31a6def4fbf641dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd244aecc246c428b4c3f8d35ea6558f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2019-08-06更新
|
1610次组卷
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2卷引用:四川省泸州市叙永第一中学校2022-2023学年高二上学期开学考试数学试题
名校
5 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c671b4e1c395bf614a2963a65d4a2a8.png)
(1)写出函数
的解析式;
(2)若直线
与曲线
有三个不同的交点,求
的取值范围;
(3)若直线
与曲线
在
内有交点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90a77bd8639cb741bf559f34c6f078c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c671b4e1c395bf614a2963a65d4a2a8.png)
(1)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4022404158a19da85fe55773ebd331a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f06f45220c23094a3d9ef53b54b89d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667845fa89c4ea6768453e15bbbb5e0b.png)
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2019-07-29更新
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7卷引用:四川省兴文第二中学校2023-2024学年高二上学期开学考试数学试题
名校
6 . 已知函数
为二次函数,满足
,且
.
(1)求函数
的解析式;
(2)若方程
在
上有两个不同的解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e17ee5f43412795671704ab0e8d0b2f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c292ad5ab432ba87d945d952ae84d2b8.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ba7ed8f595fc6bccb2eac26957024be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d4e5d2376303f26654807bf6f66516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2017-08-18更新
|
355次组卷
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3卷引用:四川省南充高级中学2016-2017学年高二下学期期末考试数学(文)试题
7 . 设二次函数
,方程
的两个根
满足
.
(1)当
时,证明:
;
(2)设函数
的图象关于直线
对称,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8ee0bd8a541d6c1057325f7f4287a64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54ce1d0d23531eba7c795b2f53a5b280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57cfda1c04b6eaeb5e78018539c2880e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/654999361ddc18f7330b36a535c99c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf85fac81ccb29ad30c0aeb09620f42e.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0178cdfe12c03ce5b50378c71471035.png)
您最近一年使用:0次
2017-03-01更新
|
1583次组卷
|
5卷引用:2015-2016学年四川省雅安中学高二10月月考数学试卷
12-13高二下·四川·阶段练习
8 . 已知函数
.
(1)求
的单调区间;
(2)当
时,判断
和
的大小,并说明理由;
(3)求证:当
时,关于
的方程:
在区间
上总有两个不同的解.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c599bf5af19e4603956e98c5650dbd4f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17988cb33273869bda17fa256f968230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4886e28e9ecd40f7edd25f25bde28453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2709ca478fb15ea08e8aa55328eae8e6.png)
(3)求证:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ccc2e60c40781eca527195c5a721169.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3a00be02f89bb28b54fadb4e0c27e13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ae3777d65a4e4a642c6772a1870c8b9.png)
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