名校
1 . 若函数
对任意的
,均有
,则称函数具有性质
.
(1)判断下面两个函数是否具有性质
,并证明:①
(
);②
;
(2)若函数
具有性质
,且
(
,
),
①求证:对任意
,有
;
②是否对任意
,均有
?若有,给出证明,若没有,给出反例.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a276d86dfd71056a526b276e0dd091d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)判断下面两个函数是否具有性质
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da53929a8f67b9aa3827fdbd73ebd265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
(2)若函数
![](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/5d9981433f6e748c8d1851dad9ef0db2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9153fb853cd99beec9e600a4eaf73fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f093c61867ee4ce75f951d46b9b123.png)
①求证:对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9dbe51c8c6fe7991af132f09819e2ed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31c68cc539a11a3da15e71379e2879b4.png)
②是否对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de297f4cb93478adeaf9c1678613ea2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc9ede2e55724383dd1093fc7fcdb59.png)
您最近一年使用:0次
名校
2 . 给出下列四个说法:
①命题“
,都有
”的否定是“
,使得
”;
②已知
、
,命题“若
,则
”的逆否命题是真命题;
③
是
的必要不充分条件;
④若
为函数
的零点,则
.
其中正确的个数为
①命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63af71b9e6f71cd26e6e97541154cd8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87e3647b50eb753571192a5e0f5be63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0231f4a0c8d240efede9b332c9468fde.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753bc7b46730ab08df9ee4488ce34986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6749db809dd84c2cfe5c47bea121e356.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b4db003c148227f49d9842d6b481400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f6aa7c17310e63aa76dcdb9316ecb5.png)
其中正确的个数为
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-10-14更新
|
3198次组卷
|
9卷引用:重庆市南开中学2018-2019学年高2020级高二下学期期末数学(理)试题
重庆市南开中学2018-2019学年高2020级高二下学期期末数学(理)试题重庆市南开中学2018-2019学年高二下学期期末考试理科数学试题江苏省南通市海安市海安高级中学2019-2020学年高二上学期期中数学试题(已下线)第02练 常用逻辑用语-2021年高考数学(文)一轮复习小题必刷广东省珠海市第二中学2021届考前模拟数学试题(已下线)专题02 常用逻辑用语-备战2022年高考数学(文)母题题源解密(全国乙卷)重庆市重庆外国语学校(四川外国语大学附属外国语学校)2021-2022学年高二下学期期末模拟(3)数学试题(已下线)专题1-2 简易逻辑题型归类-2(已下线)专题01 集合与常用逻辑用语4-寒假作业单元合订本
名校
3 . 以下给出五个命题,其中真命题的序号为______
①函数
在区间
上存在一个零点,则
的取值范围是
或
;
②“任意菱形的对角线一定相等”的否定是“菱形的对角线一定不相等”;
③
,
;
④若
,则
;
⑤“
”是“
成等比数列”的充分不必要条件.
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48c95f079838b4c0d5fa76320bc4f39e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3002ad1638f25e355d70d5ab63e637f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2e66b0aa8972c797c9f3ddccdd4fdd5.png)
②“任意菱形的对角线一定相等”的否定是“菱形的对角线一定不相等”;
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb6324528c9fe1e0ae58bf993e9c9d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8ad117157c07abdef9baf890ccc90f8.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1b5f665d41a2d0e4980b35c1b6e578.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c855dfd821bdda47ea3acdd3bac48e0.png)
⑤“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/988b7e964e313579ab8869d67d5be007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
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