名校
解题方法
1 . 已知函数
.
(1)记函数
的最大值为
,求
的值;
(2)已知
,
,
,求
的最大值及此时
,
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/008e3453592156eecba39e22d7714a93.png)
(1)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d4fcb22b9ef5b847927d6d3437e024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b12199d2cf307c3ec61c9da454e6e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca7fb432ccce6979874c50ad6e162ce1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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2020高三·全国·专题练习
解题方法
2 . 设x,y,z∈R,且
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61275572804e55a37cc7542df3b0cd72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1433c8103033c67232f2f9ae189608d.png)
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3 . 回答下面问题
(1)已知
,且
,
,求证:
.
(2)已知实数
满足
,
,试确定
的最大值.
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ab4b75fa22deba7fcbcdcb31dd45b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27ab3ff1d073acbed354d7e476d70bd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f15db966137c1e3e1f25b3ab53b4eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b5c41540729b29630652e3675414f42.png)
(2)已知实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8fa6d22b58fbd61c43ee524cb30394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ba2a0041df249e5393669abb20afab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50f79dbd7f54fd6c6be93d359de69ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/168b3e4b1d6f04226fa2687a72a268b4.png)
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名校
解题方法
4 . 已知
,
,
设函数
,
.
(1)若
,求不等式
的解集;
(2)若函数
的最小值为1,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c590477ba7ab23bf38b1ac869d9a5102.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd7126d6d76248996a222631cc9ea93c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7679f885826301bb5a826ba7bcea01.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/561778633769683f584422a6805e4736.png)
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2020-03-22更新
|
634次组卷
|
9卷引用:【全国百强校】四川省成都市成都外国语学校2018届高三下学期3月月考数学(文)试题
【全国百强校】四川省成都市成都外国语学校2018届高三下学期3月月考数学(文)试题【全国百强校】四川省成都外国语学校2018届高三下学期3月月考数学(理)试题四川省成都市第七中学2019届高三二诊数学(文)模拟考试试题四川省成都市第七中学2019届高三二诊数学(理)模拟考试试题安徽省蚌埠市第二中学2019-2020学年高三上学期期中数学(理)试题2019届黑龙江省哈尔滨市第六中学高三第四次模拟考试数学(理)试题江西省南昌市四校联盟2019-2020学年高三第二次联考数学(理)试题山西省山西大学附属中学2019-2020学年高二下学期5月月考数学(文)试题西藏自治区拉萨中学2021届高三上学期第四次月考数学(文)试题
5 . 已知函数f(x)=|x+
|+|x-
|的最小值为M,若正数x,y,z满足x+y+z=M,求
+z2的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619096595112f0340a43b756e114dd3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619096595112f0340a43b756e114dd3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c15d4932f76a1dba53e14a7fc9f3f31.png)
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6 . 若正数
,
,
满足
,求
的最小值.
![](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/805addac0d9e0475cd4d13ee250cec82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d00ba72bc9fe20b333cb2055d075e8d.png)
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7 . 选修4-5:不等式选讲
若关于
的不等式
的解集为
.
(1)求
的值;
(2)若
,求
的最大值.
若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15cd1e94e36ce8223c412b21d36cb9ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0549224c6fab4afad976c256a66988d8.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf9fd415961df14efba2aa77fb4bf7bc.png)
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