2013·湖南怀化·一模
1 . 下列命题:
①当
时,
;
②
是
成立的充分不必要条件;
③对于任意
的内角
、
、
满足:
;
④定义:如果对任意一个三角形,只要它的三边长
、
、
都在函数
的定义域内,就有
、
、
也是某个三角形的三边长,则称
为“三角形型函数”.函数
是“三角形型函数”.
其中正确命题的序号为______ .(填上所有正确命题的序号)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fad1dd76d5b72f10f5bb62693a2996f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2522f1f61064198ab593a1fe5fef02eb.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa97e3205885691ab8eb03cb4db68219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7091d529281abff275ef19b9197445a7.png)
③对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4261f875c14f79fdd507932f8b74b51a.png)
④定义:如果对任意一个三角形,只要它的三边长
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff3bf2007903adc64d089a054c2284a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4889b4b46d3cd6dd677d200bdf4914fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8de447d5e47448d0f15a7535bf3ce0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f3f7dcf93f91d9a7d013cad75f1dd4.png)
其中正确命题的序号为
您最近一年使用:0次
2 . 已知函数
,给出下列结论:
①
的最小正周期为
;
②
的图象关于原点对称;
③
在
上单调递增;
④
的值域为
.
其中所有正确结论的序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c256304be09e514bb764be10d65467.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb31d4e0c338a1027f89e8b9179c26e2.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
其中所有正确结论的序号为( )
A.①② | B.③④ | C.②③④ | D.①②③ |
您最近一年使用:0次
解题方法
3 . 有以下结论:
①将函数
的图象向右平移1个单位得到
的图象;
②函数
与
的图象关于直线y=x对称
③对于函数
(
>0,且
),一定有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7a1783349936cc7254a4a8694c6812.png)
④函数
的图象恒在
轴上方.
其中正确结论的序号为_________ .
①将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d1c01919d7f1aa26d5594a334c0a60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/232671c1ab6f356e2334851d739d22fa.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f7c4adef3485e8ac6e50d1926365327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2db3392f2498e867f188b06496ec087.png)
③对于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d76ee3b131ecd6aa1aacf7fb7b3eb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7a1783349936cc7254a4a8694c6812.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90f9679d8eeaf0bfe15d6a5e1addf99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
其中正确结论的序号为
您最近一年使用:0次
名校
4 . 已知函数
,下列说法中错误的序号是__________ .
①
一定有最小值.
②当
时,
的定义域为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dabc514b135b9648c91f3559364daa02.png)
③当
时,
的值域为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
④若
在区间
上单调递增,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91886a687dc2f7ea07bb61f506c443f4.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dabc514b135b9648c91f3559364daa02.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27e0400d730672ae2110ff48786dd1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176f6d0fcc0886354e2bd82d8cb95871.png)
您最近一年使用:0次
2021-01-17更新
|
240次组卷
|
2卷引用:吉林省延边州2020-2021学年高一上学期期末考试数学试题
解题方法
5 . 下列命题中正确命题的序号为___________
①函数
与直线x=l的交点个数为0或l;
②![](https://img.xkw.com/dksih/QBM/2015/12/3/1572340280983552/1572340286595072/STEM/21361760704748ffb1e4dac785797436.png?resizew=13)
,+∞)时,函数
的值域为R;
③R上奇函数
满足
,
<
时,
,则
;
④与函数
关于点(1,-1)对称的函数为
.
①函数
![](https://img.xkw.com/dksih/QBM/2015/12/3/1572340280983552/1572340286595072/STEM/6b8b4699af0b45e7b95416b55772d6af.png?resizew=61)
②
![](https://img.xkw.com/dksih/QBM/2015/12/3/1572340280983552/1572340286595072/STEM/21361760704748ffb1e4dac785797436.png?resizew=13)
![](https://img.xkw.com/dksih/QBM/2015/12/3/1572340280983552/1572340286595072/STEM/620c6863d3c94c0f9b7825d03cd5b914.png?resizew=33)
![](https://img.xkw.com/dksih/QBM/2015/12/3/1572340280983552/1572340286595072/STEM/d22c1ca84fb74989a7acdc4559efaebf.png?resizew=119)
③R上奇函数
![](https://img.xkw.com/dksih/QBM/2015/12/3/1572340280983552/1572340286595072/STEM/844ca40ed4544f3a8b84335d881ef251.png?resizew=34)
![](https://img.xkw.com/dksih/QBM/2015/12/3/1572340280983552/1572340286595072/STEM/1d5fead9790646a9b3308afee32074f8.png?resizew=102)
![](https://img.xkw.com/dksih/QBM/2015/12/3/1572340280983552/1572340286595072/STEM/334394e210ac4276b4febad1ae780544.png?resizew=11)
![](https://img.xkw.com/dksih/QBM/2015/12/3/1572340280983552/1572340286595072/STEM/9e7c820a26134127b5ca13a0434de221.png?resizew=32)
![](https://img.xkw.com/dksih/QBM/2015/12/3/1572340280983552/1572340286595072/STEM/10ebf05cf8f7421184e914f9ead1ca60.png?resizew=66)
![](https://img.xkw.com/dksih/QBM/2015/12/3/1572340280983552/1572340286595072/STEM/a2c7e20aaa7e4a138d5dcab55d231aed.png?resizew=91)
④与函数
![](https://img.xkw.com/dksih/QBM/2015/12/3/1572340280983552/1572340286595072/STEM/e5f37bcc95584199a096b7bcd3b14ec8.png?resizew=82)
![](https://img.xkw.com/dksih/QBM/2015/12/3/1572340280983552/1572340286595072/STEM/3bb023c9d3c5497ea00dd602cc9c8df8.png?resizew=90)
您最近一年使用:0次
6 . 对于函数
,若存在区间
,
,使得
,
,则称函数
为“同域函数”,区间
为函数
的一个“同城区间”.给出下列四个函数:
;②
;③
;④
.
存在“同域区间”的“同域函数”的序号是__________ .(请写出所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de992c982935cef2002b2c8104c00ad3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0b703034e508086831b5008a22939b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e5cb3641952a71fc4fcd82c5fb7e58b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb73da207dea41fff108ae750e43ab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c6a3695649d3c9ead7a7233557e3b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/267e6d77aabbebe52e7aca993368d874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f294ed9d641d73656256d524359d3d42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c7082ad32db40f04008553b1d366b9.png)
存在“同域区间”的“同域函数”的序号是
您最近一年使用:0次
7 . 有下列4个说法①集合
,
,若
,则
;②方程
的解的个数为3个;③函数
与函数
的图象关于直线
对称;④
时,函数
的值域为
;其中正确的题号为___________ .(写出所有正确说法的题号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6743951bd814ec23c62deedd5803f9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950de74bdd830ab1a59ae9df4abbead7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fbfbddb0c002b577cb3c1fcd0fe62df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9196601de42d17ec364f09a53219ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/237d28b87278471c3295845cc45321f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb0326c8521834089fc9e0a6db113931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a6e16cdace6adf52ece0656eb370b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be7aaace9da4265ad703e4f369240c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
您最近一年使用:0次
8 . 下列5个判断:
①若
在
上是增函数,则
;
②函数
的最小值为
;
③函数
的值域是
;
④在同一坐标系中函数
与
的图象关于原点对称;
⑤函数
是奇函数且在定义域内是增函数.
其中正确命题的序号是__________ .
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4b369f86d13d19556d0ae4f7aece51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dcdd87d593df4a5c5e98d47fe1cfa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a7320b19e0f4742666a0928cd1a556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c9d62d7737cda87b01fa06ae24ff98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
④在同一坐标系中函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16479b75ee6900b6dcb4817a08a84144.png)
⑤函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38a30945b7262279f66532dd2392d0a4.png)
其中正确命题的序号是
您最近一年使用:0次
12-13高一上·甘肃天水·期中
解题方法
9 . 下列5个判断:
①若
在
上增函数,则
;
②函数
只有两个零点;
③函数
的值域是
;
④函数
的最小值是1;
⑤在同一坐标系中函数
与
的图像关于
轴对称.
其中正确命题的序号_______
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4b369f86d13d19556d0ae4f7aece51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03db4ea1dcb63b22cf4e917df5db581e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c298e3b72856ab70082079d5105e8873.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c9d62d7737cda87b01fa06ae24ff98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/933093b52cca887f597cbe22a5467b11.png)
④函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2016168a68d0ab74a14b16a6b84c25f5.png)
⑤在同一坐标系中函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b161347f6a2fcfd9bf0acf1e8a03fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ef9d69de06c1300c314c3c6623abb1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
其中正确命题的序号
您最近一年使用:0次