1 . 对于函数
,如果其图象上的任意一点都在平面区域
内,则称函数
为“蝶型函数”,已知函数:
;
,下列结论正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b55b22fd2e3f3b4c6cb424b535067a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/519f9fc2b7986a96df60efa1226ac5a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c13a09123ae873e0b0501aaecc507e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/364392182d21524ae855c13b15e12d76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a700cb9a638114af7f882bef16d609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
A.![]() ![]() |
B.![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
2019-03-31更新
|
434次组卷
|
4卷引用:上海市徐汇区2019届高三上学期期末学习能力诊断数学试题
上海市徐汇区2019届高三上学期期末学习能力诊断数学试题2020届湖南省长沙市明达中学高三(高复部)第二次模拟考试理科数学试题(已下线)专题09 不等式-2020年高三数学(理)3-4月模拟试题汇编上海市市北中学2022届高三下学期期中数学试题
2 . 已知直线
与曲线
和
分别交于
两点,点
的坐标为
,则
面积的最小值为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f7b16d65f1b2b8bea8cf4a83fde925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2eff609c6043c2a89a6dd163fe2244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb747a871cdb02b8f4feafd02e751670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33e742b9c781084f98479e6ce25b1523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知函数
在R上连续可导,导函数为
,
,其满足
,函数
,下列结论错误 的是( )
![](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/e61c9a7ed0961f8977a21dab37aab396.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea6fa7095868d2d2cf1fc641bbd93ef3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28233efea1fb3114e7196bcbdff904d5.png)
A.函数![]() ![]() |
B.![]() ![]() |
C.函数![]() |
D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
4 . 已知
的通项公式是
,则数列的最大项是第项
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f322109e02e1468f4e730d45f7ca32f1.png)
A.12 | B.13 | C.12或13 | D.不确定 |
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解题方法
5 . 已知函数
,其中
为自然对数的底数.若总可以在
图像上找到一点
,在
图像上找到一点
,使得
关于原点对称,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7918fe982b5ef756e4ac4ab504fb73a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
6 . 已知函数
仅有一个极值点
,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b5b0d810561358e172f528b80156e7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2020-06-24更新
|
296次组卷
|
2卷引用:2020届山西省晋中市高三普通高等学校招生统一模拟考试(四模)数学(文)试题
名校
7 . 如图,圆形纸片的圆心为O,半径为5 cm,该纸片上的等边三角形ABC的中心为O.D,E,F为圆O上的点,
DBC,
ECA,
FAB分别是以BC,CA,AB为底边的等腰三角形.沿虚线剪开后,分别以BC,CA,AB为折痕折起
DBC,
ECA,
FAB,使得D,E,F重合,得到三棱锥.当
ABC的边长变化时,所得三棱锥体积(单位:cm3)的最大值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/01d1dc9a-568c-4c96-9dd7-07c434ac5bf6.png?resizew=132)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4cba95fc7d4853a243f8e3fb20ce70.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/14/01d1dc9a-568c-4c96-9dd7-07c434ac5bf6.png?resizew=132)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知直线
与
轴交于
点,与曲线
交于
成为线段
上一点,过
作直线
交
于点
,则
面积取到最大值时,
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92028a7ef998cdb99b3a978c0119bfed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d12088516b2a1ab215234d2bf5c81453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b927242223336dee4ae69314709172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6f7b16d65f1b2b8bea8cf4a83fde925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d23b488f961d9fde37feb7f5c497c0d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.1 | D.![]() |
您最近一年使用:0次
解题方法
9 . 已知函数
,若关于
的方程
恰有两个不等实根
,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016b4d71c0bfa9b9ac06d465e4f676bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/402e9bf444e2bf618b52b27fd9945354.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b673cef8aa3c1b7fead30d6a9312a2d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
18-19高三·河北·阶段练习
10 . 已知函数
,则满足
的
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fda5f66dede0cb4be1cc6cbdfa286f3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f1b1cf741ba26a57d33b343fef2653.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次