名校
解题方法
1 . 设
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5e74c9447ec7dd601a9af5d142babf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c00411e6c29123100bcdb70db7e5e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55dced23b0262de38906c6646f8bbf86.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
2 . 若函数
在区间
上单调递减,则实数a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e8077ae566a138166eab3659ad221b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5265d99095b635f62c7915298ec0e963.png)
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3 . 已知
,全集
,集合
,函数
的定义域为B.
(1)当
时,求
;
(2)若
是
成立的必要条件,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d6deadcf654f2e734ce4a1093a8f65c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4781b84fa22f8ea65023efaa2f3e6f6b.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1effe079f09633c05c5b97a0b1705422.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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解题方法
4 . 函数
是函数
的反函数,函数
的零点为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cf7675fc49cbdf3611ac547d85c8f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0180480cb73557fa00bfcd48c7eaab7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f80db5a5f26b5870e47fb22d105b89c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
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5 . 已知函数
.
(1)当
时,判断
的单调性,并用定义加以证明;
(2)当
是偶函数时,函数
的图像在函数
图像下方,求b的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c25cd0bd1c4eaeb0de102d757802edce.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4448fba32be25be1cbab638caf88b56f.png)
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解题方法
6 . 已知实数
,
,
满足:
,
,
,则
,
,
的大小关系是( )
![](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/8ad70ae8a9d08e63fd173bbab166d39b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67748c90828a1d6d92037167b6491eeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3036092a6ac5317e5c7c6409357cba3.png)
![](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)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-01-10更新
|
260次组卷
|
2卷引用:辽宁省沈阳市2023-2024学年高一上学期期末教学质量监测(1月)数学试题
名校
解题方法
7 . 已知函数
的定义域为集合
,集合
.
(1)若
,求
;
(2)若“
”是“
”的必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/518dff1998542da49899871ace3ec161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/255669835a81d0816b30c780927bba29.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-01-10更新
|
550次组卷
|
3卷引用:辽宁省沈阳市2023-2024学年高一上学期期末教学质量监测(1月)数学试题
8 . 设函数
,
.
(1)判断函数
的奇偶性,并证明;
(2)写出函数
的单调区间(直接写出结果);
(3)若
,使
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5649d1b1f611385016e25b6409bdea5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac0eb0ec6bd320f34e03008444d924f.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ae69f34beea60ab5919034a7b44934e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85544d5708b61d729152499860334fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd70f369f90b1770cd4b290c5ad78b58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
9 . 若函数
在区间
上单调递增,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d19f98c1d71647bc2883f6d04da053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663d94efcc8a8a4b5a3563e94eb8fbb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-01-06更新
|
1415次组卷
|
4卷引用:辽宁省朝阳市建平县实验中学2023-2024学年高一上学期期末考试数学试题
名校
解题方法
10 . 从①
;②
这两个条件中任选一个填入题中的横线上,并解答问题.
已知函数
________.
(1)求
的值;
(2)判断
在
上的单调性,并用单调性的定义证明你的判断.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388b6b8cb9973fd4e2045dadc5b1fd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/801006cf934e5fce39398020e3ffa6ab.png)
已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4eb5915ce9fcca8a4281cd6966caab.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
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2024-01-03更新
|
304次组卷
|
2卷引用:辽宁省辽阳市2023-2024学年高一上学期1月期末考试数学试题