名校
1 . 已知方程
的解为1,3.
(1)求实数a,b的值;
(2)若
,
,且
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d08efc2ab6d8db0af549778e76fe57f2.png)
(1)求实数a,b的值;
(2)若
![](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/54e064f16b70fb7e526bb6aba496202d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27e62ba44cbfec6823ebc1f0c7457fb.png)
您最近一年使用:0次
2023-10-22更新
|
336次组卷
|
6卷引用:河北省保定市第三中学2023-2024学年高一上学期10月月考数学试题
河北省保定市第三中学2023-2024学年高一上学期10月月考数学试题山西省临汾市洪洞县向明中学2023-2024学年高一上学期10月月考数学试题(B卷)山东省菏泽市菏泽一中南京路校区2024届高三艺术生上学期1月月考数学试题河北省承德市双滦区实验中学2023-2024学年高一上学期期中数学试题(已下线)2.2基本不等式【第二练】(已下线)考点8 一元二次方程、不等式 --2024届高考数学考点总动员【练】
2 . 解关于
的不等式.
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d66de2b67d3a40b9d2ba56f776e0c253.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/005825e1468b88f20b2bd766c01c317f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ea76e01c38f7eeeaea3638eb231b26b.png)
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名校
3 . 解不等式
(1)
;
(2)
;
(3)
;
(4)
;
(5)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b255276ab26638194fa865c67c72e38.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83455d9448b63a6eae1565280d6a6111.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e03f5e2ce625506cc6901e3bbfd57616.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f1d13d3ea411f5d9014d50f0978371.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a1e5b6961c95a87c2d8e0381dd0667.png)
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2023-10-21更新
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2卷引用:山东省淄博实验中学2023-2024学年高一上学期数学10月月考数学试题
4 . (1)已知
,若
的最小值是6.求a的值.
(2)已知a,b均为正数,且满足
.求
的最小值及取到最小值时a与b的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1261018cab190108a3b1ae647ce2900a.png)
(2)已知a,b均为正数,且满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ffcee2fc6a095248d642aa11fd91074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdb88c3fad73eb32197b8daa565cf428.png)
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5 . (1)已知实数
满足
,求
和
的取值范围.
(2)已知
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99518b056913772b9501b8db4b27904a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4e7bf9200b351a259ddfc6c0266129d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61e3da18d31497e7c2ce5217d139f80e.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cb8498080f021a6ce9f820598368b48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754826457671db8939098215943e656a.png)
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6 . 已知
.
(1)若
均为正数,证明:
.
(2)若
均为实数,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb9c07f0aab98148ab7c89c5d5310f99.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a516fd9b81aa4ca3c81d041dbcff6dc.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f51c52793b9aa03155f6595303fcb2.png)
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2023-10-19更新
|
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2卷引用:四川省部分名校2023-2024学年高三上学期10月联考文科数学试题
名校
解题方法
7 . 已知
,设函数
.
(1)当
时,求不等式
的解集;
(2)若
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d5fc7fd80c70bfa9cce9feb8a3f6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a075dce77c9a6b964a8a3fc1ee6e8c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/665dc334a37e61c356b636604eb0f8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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8 . 已知:
,
求下列各式的取值范围.
(1)
;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a42e0a21e37af8258102a4bd62b3ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05e84dbb03e8c627ff11d5c7aeb0c8b5.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9f2416d1f75a45a314331146550832e.png)
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解题方法
9 . (1)已知
,求
的取值范围;
(2)已知
,且
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa4ae5deebd70f636979c67ddeb6dcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24fb6244f7eb128adbe4515e88aa9e53.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846fed98a219097783e0ca2f41483cac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4032f478968290363b0f6488610e123.png)
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名校
解题方法
10 . 已知代数式
和
.
(1)若
,
,求不等式
的解集;
(2)右
,
,证明:
、
中至少有一个数不小于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe56a82278b144101fda1fa2cf59703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0a82f3b0b621e05cf6e77cddb0628e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcdb7a488910743dc5c63afb394b87e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404e49c94a0f74954a07d502f8249a84.png)
(2)右
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fe56a82278b144101fda1fa2cf59703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c0a82f3b0b621e05cf6e77cddb0628e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
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2023-10-18更新
|
111次组卷
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2卷引用:上海市吴淞中学2023-2024学年高一上学期第一次调研(10月)数学试题