1 . 设
,
,
,则a,b,c的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb9fe671dc0ae44a46d3bdb398aaaffc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a62b3590ff2f648d629fd0799d1f4743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34f51b6e0abc15f53a0511198a217eab.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
2 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f9eeef6fd7209130188dba2e572acde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ab7b2a2193a82b484182a14b926803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97518ca6f45e95fd6ba2966bac24c240.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3 . 设
,
,
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3e2274288267aa73ddb003b040962c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e08b5af66e6e93886a7472cf8b7a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9490c299f7753b55d7885ba9bcace0eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 下列函数中,在区间
上单调递减的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-06-12更新
|
657次组卷
|
2卷引用:云南省下关第一中学2023-2024学年高一下学期5月期中考试数学试题
5 . 当
且
时,
对一切
,
恒成立.学生小刚在研究对数运算时,发现有这么一个等式
,带着好奇,他进一步对
进行深入研究.
(1)若正数
,
满足
,当
时,求
的值;
(2)除整数对
,请再举出一个整数对
满足
;
(3)证明:当
时,只有一对正整数对
使得等式
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62d7d74585d13636e5c167a775cb227.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f81a1bedc557556e614309feead266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3703709b06e37fb0ed1e7b47f346eef1.png)
(1)若正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3703709b06e37fb0ed1e7b47f346eef1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94174f37421d296a192b2df66c05f875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)除整数对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3703709b06e37fb0ed1e7b47f346eef1.png)
(3)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3703709b06e37fb0ed1e7b47f346eef1.png)
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2024-06-08更新
|
211次组卷
|
2卷引用:浙江省培优联盟2023-2024学年高一下学期5月联考数学试题
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解题方法
6 . 设集合
或
,
,则集合
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d765cffc57d332fee0b3e570d88a6c0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/890d6dafa253b76e17c37f607ad29a53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8492fb42cbf9fd20ecda4d65eb4adf2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1336d38741aab2255a35c26612bbd7cc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知
,且
,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/685cdef78f98eb0eec9932e4570de636.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15908f84ef5a39000d5f2528d82a2da6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b27ae00f951e42b9ddbdf6799c090a2.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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8 . 已知
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9920a42ffaeb14e634eda7d02646bc3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700650a0a46a8571e5161c6d66658c1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . 若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e029c96af5b24d6694fe657a3fb3854e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-25更新
|
272次组卷
|
2卷引用:湖南省岳阳县第一中学、汨罗市第一中学2023-2024学年高一下学期五月联考数学试题
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10 . 已知
,则
的大小关系为__________ .(用“<”号表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9d4ad62861c19f26d3909d948a7d7f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
您最近一年使用:0次