名校
解题方法
1 . 已知定义在
上的偶函数
满足:
,且当
时,
单调递减,给出以下四个命题:
①
;
②
为函数
图象的一条对称轴;
③ 函数
在
单调递增;
④ 若方程
在
上的两根为
,
,则
.
上述命题中所有正确命题的序号为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feedd7224f069d6d4796a3b6e5b23e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/790daaa89fc9d093f45023becf765697.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec65a2bec3d4296c613a80b3ae41d5e.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
③ 函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71913ad3245e04f709e91a68553f8a75.png)
④ 若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9eb53c0560847e76d648116f8bc4de2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbdd93875258193ea4d7dfbd5270f06e.png)
上述命题中所有正确命题的序号为
您最近一年使用:0次
2 . 给出下列五种说法:
①函数
与函数
的值域相同;
②若函数
的定义域为
,则函数
的定义域为
;
③函数
与
均为奇函数;
④若
,且
,
;
⑤已知
,
,若
至少有一个在
上单调递增,则实数
的取值范围是
.
其中错误说法的序号是___________ .
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6534777c164d9da542e2c505bdba8e0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83e4199718a33c4a468071ae41fc6174.png)
②若函数
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572444034949120/1572444040822784/STEM/ef02389375d0472f8a21072144a811c2.png?resizew=36)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572444034949120/1572444040822784/STEM/b27c349ee66b4aeeb21e1df34d05dfeb.png?resizew=33)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572444034949120/1572444040822784/STEM/3b41e0cd4a874952a150f29ef50bed10.png?resizew=44)
![](https://img.xkw.com/dksih/QBM/2016/1/19/1572444034949120/1572444040822784/STEM/aadc0be3274641d3bf2e7b842f32b68d.png?resizew=33)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d03df5fa9ddc83cadfa47366117fdadf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5d555bafb40c3326fdd4b4746fc123.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d742d95248b0405a80193874215697f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6855784817151468771f29c0fc38fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3c0bfb693d79bac900c5ed642b309a.png)
⑤已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa279306676cbc09ddcb9ff6f991a07a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5eb6f0be10322fd87139356769adbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fe3414b32bbd1190b41ed8307f905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764831b697320aef0711e81678fbbf8a.png)
其中错误说法的序号是
您最近一年使用:0次
名校
3 . 有以下判断:①
与
表示同一函数;②函数
的图象与直线
的交点最多有1个;③
与
是同一函数;④
,则
.其中正确判断的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68af49a6c0839e9b8a1e35b44fbc437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d54b68b37699ef59a9ba9b39467bf45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cf51d9719b5dba6b64411e961002d3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19b0a6b73c49c91df25538f3d333adba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd1e9ce6b266b255f9997a4b949a6da4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f839732437207deb2b66be04bf650832.png)
您最近一年使用:0次
4 . 有以下判断:①
与
表示同一函数;②函数
的图象与直线
的交点最多有1个;③
与
是同一函数;④若
,则
.其中正确判断的序号是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b68af49a6c0839e9b8a1e35b44fbc437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d4f4e7b93e0162a9f61e96ed588874a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7c7debdf9905b44ff41d808a09d1ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183fa7f80a2e540194a98a4d984fec63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b865f26068dececc1f1040e1b5cc22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a950e2c38979275b031d3e7e003b1df.png)
您最近一年使用:0次