名校
1 . 已知函数
为偶函数,且
.
(1)求
的值,并确定
的解析式;
(2)若
且
),是否存在实数
,使得
在区间
上为减函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4581ea756d75c487da5a2a2c94470989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52ece0daffc68cab4e09173fbbed162f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a2e404954851742b29b9537467c9df1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
您最近一年使用:0次
2019-11-08更新
|
1094次组卷
|
5卷引用:四川省成都市外国语学校2019-2020学年高一上学期期中数学试题
四川省成都市外国语学校2019-2020学年高一上学期期中数学试题(已下线)第三章 函数专练13—幂函数-2022届高三数学一轮复习(已下线)专题08 幂函数与二次函数(已下线)专题08 幂函数与二次函数-2广西百色市平果市铝城中学2023-2024学年高一上学期期末数学解答题专项训练(二)
名校
2 . 已知函数
,记
的解集为
.
(1)求集合
(用区间表示);
(2)当
时,求函数
的最小值;
(3)若函数
在区间
上为增函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/435c302bfbc4819177fa2a064404341f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b61adc4745f283e4072ddd762f92ffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc10580ae53f90dfccd9816789fd8861.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8705637c89c41594ff5889e02adc17.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7c9dc3741b08287f0e80f659c515dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2019-11-07更新
|
594次组卷
|
2卷引用:湖南省常德市临澧一中2019-2020学年高一上学期段考数学试题
名校
3 . 已知函数
.
(Ⅰ)证明:当
变化,函数
的图象恒经过定点;
(Ⅱ)当
时,设
,且
,求
(用
表示);
(Ⅲ)在(Ⅱ)的条件下,是否存在正整数
,使得不等式
在区间
上有解,若存在,求出
的最大值,若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00981f1c2aa457e61fcc47ea4d189764.png)
(Ⅰ)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/825793ebd4bb376a09621f163ac990a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9998f27aca8e31ba479b96858b509c85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67e05883ca3ade551877c6e9494b809f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892c0749e795ee8069da2f543d26475e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
(Ⅲ)在(Ⅱ)的条件下,是否存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/890f3e6166ce49230950c5acabfc96ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0530e48690edc3429da2d23c25151296.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2019-10-14更新
|
1183次组卷
|
6卷引用:湖南省怀化市2017-2018学年高一上学期期末考试数学试题
名校
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd5a089a921d4d14e5bbcb33fb95c2c.png)
(1) 若函数
的定义域为
,值域为(-∞,-1],求实数a的值;
(2)若函数
在(-∞,1]上为增函数,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd5a089a921d4d14e5bbcb33fb95c2c.png)
(1) 若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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5 . 已知
,设命题p:对数函数
在R+上单调递减,命题q:曲线
与x轴交于不同的两点,如果“
”为真,且“
”为假,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0e081be2610c4c58e015c87584c8f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82869dad28f771d088772a2c2b08b187.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d52ae2be6c9662698d1c83554c6625d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0045a603e555d2d2a8ef634f9edf9951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a31351c3868449fd115650c13152be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2018高一上·全国·专题练习
6 . 已知函数f(x)=loga(1–ax)(a>0且a≠1),
(1)若a>1,解不等式f(x)<0;
(2)若函数f(x)在区间(0,2]上是单调增函数,求实数a的取值范围.
(1)若a>1,解不等式f(x)<0;
(2)若函数f(x)在区间(0,2]上是单调增函数,求实数a的取值范围.
您最近一年使用:0次
名校
解题方法
7 . 已知
,命题
函数
在
上单调递减,命题
不等式
的解集为
,若
为假命题,
为真命题,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/441d994ad2255b051222d2125ee5c1a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e595c6143b52a4d570cd2da207b0fdbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2018-10-17更新
|
808次组卷
|
3卷引用:安徽省皖中名校联盟2019届高三10月联考数学(理)试题
名校
解题方法
8 . 已知函数
(
且
)是定义在实数集
上的奇函数,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f54ecfa11026d97c8d315e55e0d34a.png)
(1)试求不等式
的解集;
(2)当
且
时,设命题
实数
满足
,命题
函数
在
上单调递减;若“
且
”为假命题,“
或
”为真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063bea89def0fb8653574cf68e4cc268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f54ecfa11026d97c8d315e55e0d34a.png)
(1)试求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d6478d171e3281eb598594c2234557.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406185f4ad8bcd99e23adc8d289088ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21f3cb92413561a3fd8f4bc95ede6095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c61e8ff7565acd66347014c412ca90bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
9 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6238f20a373214ec18d1d2be64b635.png)
(1)设
,当
时,求函数
的定义域,判断并证明函数
的奇偶性;
(2)是否存在实数
,使得函数
在
递减,并且最小值为1,若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc6238f20a373214ec18d1d2be64b635.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/219f2a6b7f29a63a9747195d0ffcc603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bacbd8f85c7ed750646ecf8f5b11071.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
10 . 已知函数
(
且
),
⑴若
,解不等式
;
⑵若函数
在区间
上是单调增函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59113fa39ab07dbff215de9561cca45a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
⑴若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d0cd47609b9d1865dfff4979161cf5.png)
⑵若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a24509ad858e5150799e38132400053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次