1 . 对定义在区间
上的函数
,若存在开区间
和常数
,使得对任意的
都有
,且对任意的
都有
恒成立,则称函数
为区间
上的“
型”函数,给出下列函数:①
;②
;③
;④
.其中在定义域上是“
型”函数的为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7079ff7f81f9485ea43802119da29421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b7e150af2052a1664cde963273d905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f1207b12d35191a843519cd7d1771f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1c0354c1d5230a3ac4e2bd58bb1c8c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c8043754ae1e4771c256face2748e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c44d53d8e548d01ac44185d6a057f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6201963fcdd54887f2af50518bd908a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/886872b35c846093733791cddd655e71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d19ee2c72a30bf791981c5ea788eb72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8b9ad2fcfff3dd546c5fdbedfe6238.png)
A.① | B.①② | C.②③ | D.③④ |
您最近一年使用:0次
13-14高三·湖北·阶段练习
2 . 设定义在D上的函数
在点
处的切线方程为
,当
时,若
在D内恒成立,则称P为函数
的“类对称点”,则
的“类对称点”的横坐标是
![](https://img.xkw.com/dksih/QBM/2014/12/16/1571924835311616/1571924840980480/STEM/26f66c72ae04411cbcb2523ee6842140.png)
![](https://img.xkw.com/dksih/QBM/2014/12/16/1571924835311616/1571924840980480/STEM/5a68f842ab9e4bd48a291a3e0d668429.png)
![](https://img.xkw.com/dksih/QBM/2014/12/16/1571924835311616/1571924840980480/STEM/2da553651bd14ebc9d72ae675957bbb0.png)
![](https://img.xkw.com/dksih/QBM/2014/12/16/1571924835311616/1571924840980480/STEM/c4dfb724058f470a86b27bf3148ba9e3.png)
![](https://img.xkw.com/dksih/QBM/2014/12/16/1571924835311616/1571924840980480/STEM/f3f0f01865df42a785ad2e33e81290a8.png)
![](https://img.xkw.com/dksih/QBM/2014/12/16/1571924835311616/1571924840980480/STEM/26f66c72ae04411cbcb2523ee6842140.png)
![](https://img.xkw.com/dksih/QBM/2014/12/16/1571924835311616/1571924840980480/STEM/7e3259dd835448caafd6e6b83637b40f.png)
A.1 | B.![]() | C.e | D.![]() |
您最近一年使用:0次
3 . 函数
在
上有定义,若对任意
,有
,则称
在
上具有性质
.设
在
上具有性质
,现给出如下命题:
①设
在
上的图象时连续不断的; ②
在
上具有性质
;
③若
在
处取得最大值1,则
,
;
④对任意
,有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46906c4c98fdb88717c138c46822bf70.png)
其中真命题的序号是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d6fe21d6ed78bfc1d2b9cc41a766c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df530675e982983298f1eb7826ae3d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da34ce730f711c09909d53806fe2330a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
①设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da34ce730f711c09909d53806fe2330a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb6da917059d222ce74adae88054fbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56dccc5720967ee3edce0174255e8ed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907e4ba6d5f2eea68442def1911957fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538193a4717d564c01145e82314c2d1a.png)
④对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a164341dd3e78185c87ebad44d678d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46906c4c98fdb88717c138c46822bf70.png)
其中真命题的序号是
A.①② | B.①③ |
C.②④ | D.③④ |
您最近一年使用:0次
4 . 若平面点集
满足:任意点
,存在
,都有
,则称该点集
是“
阶稳定”点集.现有四个命题:
①对任意平面点集
,都存在正数
,使得
是“
阶稳定”点集;
②若
,则
是“
阶稳定”点集;
③若
,则
是“
阶稳定”点集;
④若
是“
阶稳定”点集,则
的取值范围是
.
其中正确命题的序号为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46555735dde9e57ac52e1eeb687f3ad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f38e916d4c713366616379768222c5da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd29dc9d11ca26bc64a31b344da89a65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
①对任意平面点集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a6d5b3bdd2b277ed94306cca2a39e9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24688a4ab2e909d1002685bb68d7cb99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14d59834cd0f5a9e7911c313c431c1bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b319d1866ba76cba6a91f09f610f50.png)
其中正确命题的序号为
A.①② | B.②③ | C.①④ | D.③④ |
您最近一年使用:0次
名校
5 . 对于函数
、
和区间
,如果存在
,使得
,则称
是函数
与
在区间
上的“互相接近点”.现给出两个函数:
①
,
; ②
,
;
③
,
; ④
,
.
则在区间
上存在“互相接近点”的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3102c0a2f53b80f9dddbf9352537e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6c310dc168cf97b655bfd1468f2339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f0b669ef4514f24ee09adeff7f41238.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1c079afd1b058adc67a50f48f3d466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fc2ec240ed620aca045b51217998cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec84404bbf6cf4a9d992e1760dcfdd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7cc2aa5c5d4040c66e6794e71f48647.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438a03c27278677f8cddcc5348e7ee02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c10803c113efe2d4e59371536bae045.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc873fc03e6e4d3c4ba02f8b1147b20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4306fb6d5419322b4b7b9140e06e43a0.png)
则在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
A.①② | B.③④ | C.②③ | D.①④ |
您最近一年使用:0次
6 . 我们把形如
的函数称为“莫言函数”,其图象与
轴的交点关于原点的对称点称为“莫言点”,以“莫言点”为圆心且与“莫言函数”的图象有公共点的圆称为“莫言圆”,当
时,“莫言圆”的面积的最小值是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9d04956d1096baf50f1f3b41c852b46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48adb8a59b5c02fad5eada1b35171cf3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 若函数
在区间
上恒有
成立,则称区间
为函数
的“
度约束区间”,若区间![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c960ab7730cac585d77ccd54f314378d.png)
为函数,
的“2度约束区间”,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8667b6ac60ca2cdde42c98bba1de929b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/345663acc0b8dfd215e68c9cbc43ec39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8667b6ac60ca2cdde42c98bba1de929b.png)
![](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/c960ab7730cac585d77ccd54f314378d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d0f5d72f3d4d8b7fa0ea8b8c8c6e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ca4c969ef2ffe1d0c9b4fc89ca6a447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次