名校
1 . 设函数
.
(1)求
的解集;
(2)若不等式
对任意实数x恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c55b8a318022a2ee3736a45111175a4.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375ea8bd23fac745ec45c899b487c628.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bab1f24836e1dfba15d55e7a1fb1e79.png)
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2021-05-11更新
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761次组卷
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10卷引用:天一大联考2021届高三阶段性测试(六)理科数学试题
解题方法
2 . 已知
,
,
为正数,且满足
.证明:
(1)
;
(2)
.
![](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/1a57e060f61f7efa54982bda67db483a.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a0149197730579d40fa85ffb32a170.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80df44140e9f8e1d0be0eb5adb59a4c0.png)
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2021-05-10更新
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2卷引用:全国百强名校“领军考试” 2021届高三5月联考文科数学试题
3 . 已知函数
.
(1)当
时,求
的解集;
(2)若
,
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15195838d2e7f2a368bd9662f7eb86c0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e5c1a7acdad9794447abfe58bd9f806.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23c6a513b4ebe37b484a055d41c07118.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d3f9753b566ab4f6b4f6d772f14209d.png)
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2021-04-30更新
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209次组卷
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4卷引用:华大新高考联盟2021届高三4月份教学质量测评数学(理)试题
解题方法
4 . 已知函数
.
(1)求不等式
的解集;
(2)记
的最大值为
,若
,
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8737c59b71a4a9911b28e0ef614d4ed0.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b51035f9b1a84d36570e1eefa1386a6a.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b91939912f838a19edf5da04ca32a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029da2067b3564cee13879e402a89a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25afca8e8f606de6e5d60d420303bf22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5379e73723fd6a9bff3b9ecacbdb41.png)
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2021-04-24更新
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3卷引用:全国卷地区(老高考)2021届高三下学期4月冲刺联考文科数学试题
名校
解题方法
5 . 已知函数
.
(1)若
,求实数
的取值范围;
(2)若
,且
,求证:
,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9579ecce76691f7459198e8a69c0d13.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e9ab8c3935eed3e6d0c050c22fa4fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d7876ae69780fa3cead451440d6f93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a325bdd371618d705f023f8ee4de692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d76d995b3fdc5ec4781e752211d96ac1.png)
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2021-04-23更新
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7卷引用:湖南省长郡、雅礼、一中、附中联合编审名校卷(全国卷)2021届高三月考数学理科试题(九)
6 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)当
时,若关于
的不等式
对
恒成立,且
,
均为正实数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9314fcbf953f93bf33b00ce5da4ae3c2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74dbd58b21a94cf93f4623c07452b102.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32077298ffc28447dcf03b571858c457.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](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/f32043a653eba02c79ae6395b3bcb34f.png)
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2021-04-15更新
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2卷引用:全国百强名校“领军考试”2020-2021学年下学期4月高三数学(理科)试题
名校
解题方法
7 . 已知函数
.
(1)求不等式
的解集;
(2)若方程
有实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c96909abe59ca973e1b7a33a11b5bed.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff31e2f5ffd71f10b232befb01917ae6.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84876763c9b852de724877860099f19c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2021-04-14更新
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5卷引用:百校联盟2021届高三4月联考全国一卷理科数学试题
名校
解题方法
8 . 已知函数
,其中
.
(1)若对任意
,恒有
,求
的最小值;
(2)在(1)的条件下,设
的最小值为t,若正数m,n满足
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e46712bc79d73b02331a5c4043dc619c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3be362dec96173f246ff747264007817.png)
(1)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb584bbe5dbf0438934967b942521013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)在(1)的条件下,设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f49316407e6aabfe38aea3585b662c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55db12bc9a3b7bd2e6decaaea6ba387e.png)
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2021-04-09更新
|
490次组卷
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5卷引用:湘豫名校联考2021届高三(4月)文科数学试题
解题方法
9 . 已知函数
的图像关于原点对称.
(1)求不等式
的解集;
(2)若关于
的不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/687b00b6b268520d9582e22f6c7cf67f.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2868fc8e6dc8e0b15a381649a7bd5532.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/889f5e188413ef5f14cae9747fca4bef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2021-04-01更新
|
463次组卷
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3卷引用:华大新高考联盟2021届年高三下学期3月教学质量测评数学(理)试题
10 . 已知函数
.
(1)求不等式
的解集﹔
(2)若
对任意的
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1306bbe2f0d49a3510331d10d8609cf2.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bfa284c0f78b2b2227271a3d1948f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2021-03-28更新
|
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2卷引用:百校大联考2021届高三第六次大联考文科数学试题