名校
1 . 设函数
在R上存在导函数
,对于任意的实数
,都
,当
时,
,若
,则实数
的最小值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e808873b814cf720131eeed83e88bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7a77d30c7e410321b05c87af92afe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26778c700be108bb64c421ccd8faee57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03dac01cbbd648cfba93127eaf3c55bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
2 . 若存在
,使得不等式
成立,则实数
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23a36fe2e12bd6d30a6bf5816159d2f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb84b8d7d245532e1b19b3e81f3f9e40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2019-04-16更新
|
676次组卷
|
4卷引用:安徽省固镇县第一中学2018-2019学年高二5月月考数学(理)试题1
3 . 定义在
上的函数
满足
,且
,不等式
有解,则正实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d99b6a2566b9f8a958f8450458b1afc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6855784817151468771f29c0fc38fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7feda14f29b21a3bb302650eb838a184.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 定义:如果函数
的导函数为
,在区间
上存在
,
使得
,
,则称
为区间
上的“双中值函数“
已知函数
是
上的“双中值函数“,则实数m的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2437d40a85a950a06b1824312ddfd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eb7f0759565b9d36008d49b627583a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/040135d64192de075ba0cc9f11ddbc9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe47997f78ae446cfb2896078363d905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573439e006be202bfb4e5c17d1b1db64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3dc1fd02d378a333465caa0375a30cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eb7f0759565b9d36008d49b627583a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7595947ea0fca8895824f547aff1799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/422f50cbfa9dafb8fafeadd8a5f81aeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-03-16更新
|
846次组卷
|
6卷引用:【校级联考】安徽省定远重点中学2019届高三下学期第一次模拟考试数学(理)试题
5 . 定义在
上的函数
满足
,
,则不等式
的解集为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cead849c0dc4a82285808a7e081ad75c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba4fbaa5ab582c522746d765a2fee61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf71d54dc6ecdfb82f6794ef81c4f312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65181f98f6a2620aed9546b66c4f2834.png)
A.(![]() | B.(0,10) | C.(10,+∞) | D.(1,10) |
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6 . 设函数
,若存在唯一的正整数
,使得
,则
的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d492f8ae5584887d58f915da39df950.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92755ed40510a358dcb77392749fd792.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2018-08-27更新
|
459次组卷
|
4卷引用:安徽省江南片2019届高三上学期开学摸底联考理科数学试题
名校
7 . 已知函数
,
,
.
(
)若
在
处与直线
相切,求
,
的值.
(
)在(
)的条件下,求
在
上的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2609f2237d34fee7135075c30866a509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb70fdf064b9193e506ca43f4672af56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f909328384f9c52134243753d9c954ef.png)
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2018-10-22更新
|
584次组卷
|
4卷引用:安徽省定远重点中学2019届高三上学期第二次月考数学(文)试题
8 . 已知函数
,若有且仅有两个整数
,使得
,则
的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d4670c2175edd9c933543a33ee5cc7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281106d1eb0462759ab01d17ba958a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb474fabfc1164ad8ae4ebfd995e3ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2018-10-05更新
|
488次组卷
|
5卷引用:【校级联考】安徽省合肥市七中、合肥十中2019届高三上学期期中模拟联考数学(理科)试题
名校
9 . 已知函数f(x)=-x3+ax2-4.
(1)若f(x)在x=2处取得极值,且关于x的方程f(x)=m在[-1,1]上恰有两个不同的实数根,求实数m的取值范围;
(2)若存在x0∈(0,+∞),使得不等式f(x0)>0成立,求实数a的取值范围.
(1)若f(x)在x=2处取得极值,且关于x的方程f(x)=m在[-1,1]上恰有两个不同的实数根,求实数m的取值范围;
(2)若存在x0∈(0,+∞),使得不等式f(x0)>0成立,求实数a的取值范围.
您最近一年使用:0次
2018-10-02更新
|
762次组卷
|
7卷引用:安徽省阜阳市颍上第一中学2022-2023学年高二下学期第一次月考数学试题
名校
10 . 已知函数
,在
处取得极值2.
(1)求
的解析式;.
(2)设函数
,若对于任意的
,总存在唯一的
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7132f13e1559556535151b43bd711df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3c68ab4181ffc22679c971eed6d8286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd18cc07b85501e7347626c0d3e9758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d252fb0ee12075218f27599605c126b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e2618ce4371cad6e470a3942f98b1cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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