名校
1 . 已知
,则下列说法正确的有______ .
①若
有且仅有一个零点,则
;
②若
有且仅有一个零点,则
;
③若
有且仅有两个零点,则
;
④若
有且仅有一个极值点
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f33dfa2e69a4d9cf93797b1f95c0a8e.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2db0eb7b60e88da1d807797cb17f85d0.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65f98fb31af1299a4d4b31d67a240b0.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe33a19334467abffbd1f79ab245ce4e.png)
您最近一年使用:0次
名校
2 . 已知函数
有两个不同的极值点
,则实数
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b7db80d9e2850a1c72622d86586398b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
3 . 已知函数
,下列命题中:
①
在其定义域内有且仅有
个零点;
②
在其定义域内有且仅有
个极值点;
③
,且
,使得
;
④当
时,函数
的图像总在函数
的图像的下方.
其中真命题有________ .(写出所有真命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba28a28fd567c9331305ec91d04cf1ae.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c10f7cdfb1c47057e702ae15a60cd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859458471c86ae39e0cc42d2d960d03e.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d7adde0246fc0c3bfc8365d2bd04f21.png)
其中真命题有
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解题方法
4 . 已知关于
的方程
,有且仅有一个解,令
则下列结论中正确的序号是___________ .(写出全部正确结论的序号)
①.
;
②.
在区间
上单调递减;
③.
是
的零点;
④.
是
的极小值,
是
的极大值点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3d390ade09d3e829a1f100fb04cadb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ac80886f4159805275f9a004428098.png)
①.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ffecb03c47be920254c4ccffa5b222.png)
②.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f27e49b10fcceb2e4b0726772b434ec7.png)
③.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187c21027ff08411931d32c530b64fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
④.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09792acfc9c6de6379436111f91a218d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187c21027ff08411931d32c530b64fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
您最近一年使用:0次
名校
5 . 已知函数
,若函数
恰好有两个零点,则实数
等于________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43bbec2750ede57f7819f5129a7284f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/948cbdf31bff9103474644feb9c78221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2021-09-12更新
|
300次组卷
|
3卷引用:四川省成都市郫都区2021-2022高三上学期阶段性检测(一)文科数学试题
四川省成都市郫都区2021-2022高三上学期阶段性检测(一)文科数学试题云南省玉溪第一中学2020-2021学年高二4月月考数学(理)试题(已下线)考点07 导数及其应用-2022年高考数学一轮复习小题多维练(新高考版)
名校
6 . 已知
,下列结论正确的是______ .
①当
时,
恒成立;
②若
在
上单调,则
;
③当
时,
的零点为
且
;
④若
有三个零点,则实数
的取值范围为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df8fc4f3408cc4b2942e1f3b9fdd00f2.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22156e6d4cee9f513c8b022296c7718e.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e69866076dcff686a05e9e91e61e68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5813437adbc6b496967b1ce2a0aee48a.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e81082ac0291dacc668535d9a61804.png)
您最近一年使用:0次
名校
7 . 若函数
有两个零点,则实数
的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0ea8a55ea09483acce9502da3fda34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
8 . 已知函数
的定义域为
,部分对应值如表:
的导函数
的图象如图所示,下列关于函数
的命题
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/112854e4-642e-48d0-9b23-438bd5d26127.png?resizew=166)
①函数
的值域为
;
②函数
在
上是减函数;
③如果当
时,
的最大值是2,那么
的最大值为4;
④若函数
有4个零点,则
.
其中真命题是___________ (只须填上序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0581fcaa2dcf917479091fded7f5b21b.png)
x | ![]() | 0 | 4 | 5 |
![]() | 1 | 2 | 2 | 1 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/112854e4-642e-48d0-9b23-438bd5d26127.png?resizew=166)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6c1756b564bf1d998d8179637011c88.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
③如果当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7924069f67dcce50ae8f3bdef13f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
④若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcefa1eadaa807e3fe6c61a2f8d2dea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d4a2d4a99bf35ab3fefbdf9a442df2d.png)
其中真命题是
您最近一年使用:0次
2021-08-11更新
|
171次组卷
|
2卷引用:四川省遂宁市射洪市射洪中学校2020-2021学年高二下学期期中数学理科试题
名校
9 . 若函数
存在零点,则a的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/972a3109c9527b28c149e87ae4b57d8f.png)
您最近一年使用:0次
2021-08-07更新
|
301次组卷
|
4卷引用:四川省仁寿第一中学校南校区2020-2021学年高二第三次质量检测(6月月考)数学(理)试题
10 . 若函数
有两个不同零点
,
(
),且存在唯一的整数
,则实数
的取值范围为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0da3a17e8e2554dfb7deb547dccdbe33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed085cc685f0bf1b3df2ed16e04ccea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2021-08-02更新
|
652次组卷
|
3卷引用:四川省眉山市2020-2021学年高二下学期期末教学质量检测(文)数学试题
四川省眉山市2020-2021学年高二下学期期末教学质量检测(文)数学试题(已下线)热点15 函数的零点问题处理策略与解题技巧-2022年高考数学核心热点突破(全国通用版)【学科网名师堂】广东省广州市铁一等三校2021-2022学年高二下学期期中联考数学试题