解题方法
1 . 已知函数
是奇函数.
(1)求
,并解不等式
;
(2)记
得最大值为
,若
、
,且
,证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d11cbb0233bae1a97f29f6ebd87d969.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99f6241f03f76761403af0c53d3a0f1.png)
(2)记
![](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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f96105f1639c6566db428c91b7f1a7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39dc86044cf2704cdcebf9d6d42703b4.png)
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2020-06-19更新
|
423次组卷
|
3卷引用:福建省厦门市2020届高三毕业班(6月)第二次质量检查(文科)数学试题
名校
解题方法
2 . 函数
,其中
,
,
.
(1)当
时,求不等式
的解集;
(2)若
的最小值为3,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aab687eba45f4795f21b2f99ddc2746.png)
![](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)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd7126d6d76248996a222631cc9ea93c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b562ca77fa64f3ebe40e0ad49833d5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2219d312e275702451d6323cd3e7ac67.png)
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2020-06-08更新
|
267次组卷
|
3卷引用:江西省名师联盟2020届高三5月联考理科数学试题
名校
解题方法
3 . 已知函数
.
(1)若函数
的最小值为3,求实数
的值;
(2)在(1)的条件下,若正数
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/105fbf91ce505b1ce714c57a38c80233.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)在(1)的条件下,若正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48de42fc90f6c80a503d8bea9d4412ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5adf5bfbc5d41a5795e7d2d65d86b603.png)
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2020-03-23更新
|
184次组卷
|
2卷引用:2020届甘肃省武威第六中学高三下学期第三次诊断考试数学(理)试题
名校
4 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10360981005a9c1c24131b8c85e0d6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45ed62542a89e4eaff3644ca4d9e2425.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e89e869459f079972ec2ce537fe950.png)
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名校
解题方法
5 . 已知函数
.
(1)解不等式
;
(2)记函数
的最小值为m,正实数a,b满足
,求证
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e32fe6eea89758fe843a869976d08fd.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4509817be39bef4bcde115996ee39e8.png)
(2)记函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/857ce2790f14cac8a0cfecc154015237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9048a4655708ea1ff6702b4b5061975a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb8d3035de644271d9c753e95fc9781.png)
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2020·全国·模拟预测
6 . (本小题满分10分)选修4-4:坐标系与参数方程
在平面直角坐标系
中,曲线C的参数方程为
(
为参数).在以坐标原点为极点,x轴的正半轴为极轴的极坐标系中,直线l的极坐标方程为
.
(1)求曲线C的普通方程及直线l的直角坐标方程;
(2)求曲线C上的点到直线l的距离的最大值与最小值.
(本小题满分10分)选修4-5:不等式选讲
已知
.
(1)求不等式
的解集;
(2)若
的最小值为M,且
,求证:
.
在平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/334e3a17bdb2273b59b4fa2e8c752ee9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc99e3533e86d24d47630cb4ee209695.png)
(1)求曲线C的普通方程及直线l的直角坐标方程;
(2)求曲线C上的点到直线l的距离的最大值与最小值.
(本小题满分10分)选修4-5:不等式选讲
已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4fd6d69f12975d53bf7eebda2e17388.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/013ffa2f0de8ab4176247c53bcd8ce7b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9975c406221e50c29970483385aeb3d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5af5a0bf00894d969fdc57e4119260f.png)
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7 . 已知函数
.
(Ⅰ)当
时,解不等式
;
(Ⅱ)若
的值域为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47bfdff4d543b742e29465ef177315e0.png)
(Ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48adb8a59b5c02fad5eada1b35171cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00983cd16d3d6bfb62f922a20e4ae6e1.png)
(Ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27e0400d730672ae2110ff48786dd1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd4d041ba479ad311a16782eee020d99.png)
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2020-05-26更新
|
424次组卷
|
5卷引用:2020届四川省攀枝花市高三第三次统一考试数学(理)试题
名校
解题方法
8 . 对
,
的最小值为
.
(1)若三个正数
、
、
满足
,证明:
;
(2)若三个实数
、
、
满足
,且
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02cdab65718a2348c2339da2ed817edd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f9637edbb8e2271d3bf2953b8175895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)若三个正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d3a190a378e8a73322fabb1afa9f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f358f151a05c7ca3eafa9d930f040c.png)
(2)若三个实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d3a190a378e8a73322fabb1afa9f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7fe88326ec46ab4fa284a5965e009b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-05-25更新
|
379次组卷
|
4卷引用:2020届陕西省榆林市高三第三次模拟数学(文)试题
2020届陕西省榆林市高三第三次模拟数学(文)试题2020届陕西省榆林市高三第三次模拟数学(理)试题上海市实验学校2020-2021学年高一上学期期中数学试题(已下线)专题10-2 不等式选讲题型归类(讲+练)-1
解题方法
9 . 已知函数
的最大值为2.
(1)求实数m的值;
(2)若a,b,c均为正数,且
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf96902764b635b1979bd420074e92a0.png)
(1)求实数m的值;
(2)若a,b,c均为正数,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3539640e5344567a1071b64751cecc8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8720d2743b33079a807740dc0d761ad.png)
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名校
10 . 设
,
,
.
(1)解不等式
;
(2)
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf53f232cd433b791e3696c0ba97750b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4367e45a47a02037a38bd591dd09f930.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/640cb603fc8315d9e37c97561f6a7b83.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2405c4822bceae1cf191edb502d3b0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad5fe274cfc8da2dacfb65801f344ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee59fbe13325820ec6fc47eb5f35d87.png)
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