名校
1 . 若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0937f5a8ad2afa56381cc9d584f6d3.png)
(1)当
时,设
所对应的自变量取值区间的长度为
(闭区间
的长度为
),试求
的最大值;
(2)是否存在这样的
使得当
时,
?若存在,求出
的取值范围;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0937f5a8ad2afa56381cc9d584f6d3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77bd2b5113133614c6ee86d670953565.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e669d502287cab6a74d72fb4aa1ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65185cb5d67a482a7c86afc70fdbd230.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)是否存在这样的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ede5cb0407ac7f334a726eeac5d89c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a916b565f017ddad96d04077568bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0e669d502287cab6a74d72fb4aa1ed6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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2 . 已知函数
,
.
(Ⅰ)若
,求函数
在
的单调区间;
(Ⅱ)方程
有3个不同的实根,求实数
的取值范围;
(Ⅲ)当
时,若对于任意的
,都存在
,使得
,求满足条件的正整数
的取值的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6963c7a91f638764eeca157ca6adce24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(Ⅰ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebe1abd3d67945dbdafaa8e57765c77d.png)
(Ⅱ)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13055766424f8f5c91a8c5099dc03205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅲ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c10b6a6435e6f66a67f9f57fa60c69c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5fc3009c0a28f8730b0a5f4b98419e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9540f894ac17cac2d5688a2287b8ba76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2017-05-16更新
|
751次组卷
|
2卷引用:天津市十二重点中学2017届高三毕业班联考(二)数学(文)试题
名校
解题方法
3 . 已知函数
.
求不等式
的解集
;
记不等式
的解集为
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd32bebeaa6371e9f8680b15006740e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf6c84731e5e1bd335ecfc2d36c3d81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abdaffa9c15517afe6d7ba6488f88f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f53190d6ead827a6338b9de847aeaf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03c69c47ac56c9db8d053f30487bf351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2333f966f6ec29f0661f93d99b055cd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2020-04-22更新
|
318次组卷
|
3卷引用:河北省邢台一中2019-2020学年高三下学期线上模拟数学(理)试题
名校
4 . 定义区间
的长度均为
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa403daf6f8420dcefeea93fec41798c.png)
(1)若函数
的定义域为
值域为
写出区间长度
的最大值;
(2)若关于
的不等式组
的解集构成的各区间长度和为6,求实数
的取值范围;
(3)已知
求证:关于
的不等式
的解集构成的各区间的长度和为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddc5d7657fd10839719b593b12d12e60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08d9560a5a060961e957ffeff10a29aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa403daf6f8420dcefeea93fec41798c.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927adc3ef749d09e76374ffbd7c50da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75af93e9c237ee52e258aa48a4a55649.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8936e3646db9171519b41c08c16391.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac502f3aadb3b15abf4aa7368b7f5b8.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b07b34bade7a10c5ecc1febbf0829912.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7efe337fed3335419338c68b92c50e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab381e4696b228db83ba14f9dca29011.png)
您最近一年使用:0次
2010·河北衡水·三模
5 . 给出下列命题:
①已知函数
在点x=1处连续,则a=4;
②若不等式|x+
|>|a﹣2|+1对于一切非零实数x均成立,则实数a的取值范围是1<a<3;
③不等式(x﹣2)|x2﹣2x﹣8|≥0的解集是{x|x≥2}
④如果△A1B1C1的三个内角的余弦值分别等于△A2B2C2的三个内角的正弦值,则△A1B1C1为锐角三角形,△A2B2C2为钝角三角形.
其中真命题的序号是__ (将所有真命题的序号都填上)
①已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7e90b726aeb9f49b96ddd6555643f0.png)
②若不等式|x+
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf35027e76f8ea593f82023973d4aba3.png)
③不等式(x﹣2)|x2﹣2x﹣8|≥0的解集是{x|x≥2}
④如果△A1B1C1的三个内角的余弦值分别等于△A2B2C2的三个内角的正弦值,则△A1B1C1为锐角三角形,△A2B2C2为钝角三角形.
其中真命题的序号是
您最近一年使用:0次