已知
,函数
.
(1)若关于
的不等式
对任意
恒成立,求实数
的取值范围;
(2)若关于
的方程
有两个不同实数根,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3300ce2f586e639efad80f91a220289.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c93e4c57f50ac8f891eadb79cdc6b67b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389c5eb9278242f235dfcb45e687f7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/719ece303df02aa45db80b45b2b42afe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
更新时间:2022-01-27 09:14:26
|
相似题推荐
解答题-问答题
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较难
(0.4)
名校
解题方法
【推荐1】已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c3d2beccf395f074744a274c6835749.png)
(1)当
时,求
有意义时x的取值范围;
(2)若
在
时都有意义,求实数a的取值范围;
(3)若关于x的方程
有且仅有一个解,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c3d2beccf395f074744a274c6835749.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
(3)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd42eca4f3084965dff5f7bfdf814df4.png)
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【推荐2】已知函数
,
,其中
,
.
(1)判断函数
的奇偶性,并说明理由;
(2)若
,都有
成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4fe0c9bca006f860f8352f19907ab0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c636a15d81964fa221285868ef3dc61b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa662f0273f0921c1fa4727f632395.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8b1709a623f6257c89bed5522081a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3adce5f9e36e077410b7f243b3c7f5aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐1】若定义域为
的函数
满足
,则称
为“a型”弱对称函数.
(1)若函数
为“1型”弱对称函数,求m的值;
(2)已知函数
为“2型”弱对称函数,且函数
恰有101个零点
,若
>λ对任意满足条件函数
的恒成立,求λ的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/975509c6b9a509d1248103c3eabd772c.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd063c467e217bcecc134a88f049294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223f1ef2e43c65abdc79b6148e7c964f.png)
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【推荐2】已知函数
.
(1)判断
的单调性并写出证明过程;
(2)当
时,关于x的方程
在区间
上有唯一实数解,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458c6ac03943fafecc972712f01864c7.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ede78fd7ac619ea597856254bb5d75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d113a273d12bc3b37d78c5a6f42b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aae9c8988f4a48db69cad3308942c9.png)
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解答题-问答题
|
较难
(0.4)
名校
解题方法
【推荐1】两县城
和
相距
km,现计划在县城外以
为直径的半圆弧
(不含
两点)上选择一点
建造垃圾处理站,其对城市的影响度与所选地点到城市的距离有关,垃圾处理厂对城
的影响度与所选地点到城
的距离的平方成反比,比例系数为
;对城
的影响度与所选地点到城
的距离的平方成反比,比例系数为
,对城市
和城市
的总影响度为城市
和城市
的影响度之和,记
点到城市
的距离为
,建在
处的垃圾处理厂对城
和城
的总影响度为
,统计调查表明:当垃圾处理厂建在
的中点时,对城
和城
的总影响度为
.
![](https://img.xkw.com/dksih/QBM/2020/12/27/2622779350212608/2623095909228544/STEM/6c357031-1a14-473d-b548-8834197afc02.png)
(1)将
表示成
的函数;
(2)判断弧
上是否存在一点,使得建在此处的垃圾处理厂对城市
和城
的总信影响度最小?若存在,求出该点到城
的距离;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6a536e5e2c3865d13b591081949636.png)
![](https://img.xkw.com/dksih/QBM/2020/12/27/2622779350212608/2623095909228544/STEM/6c357031-1a14-473d-b548-8834197afc02.png)
(1)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)判断弧
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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解题方法
【推荐2】已知函数
;
.
(1)解关于
的不等式
;
(2)
对
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068fe824048360fba77109636452fda8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3b302cf413a9ca1b05ab584a023cfbd.png)
(1)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02508a8389cd36c714631f4c026194d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a8c774fe78ddfaf4811b127dedc5abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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解题方法
【推荐3】已知函数
是奇函数.(e是自然对数的底)
(1)求实数k的值;
(2)若
时,关于x的不等式
恒成立,求实数m的取值范围;
(3)设
,对任意实数
,若以a,b,c为长度的线段可以构成三角形时,均有以
,
,
为长度的线段也能构成三角形,求实数n的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ee160c5d65f28ee38820b3aad998981.png)
(1)求实数k的值;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/375f8f03f9e6e475ac0e565e6c89ec73.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a245b1e361d8f9c592952e32625415c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b4e45fbe4c5c2d552aecb9367fd67b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a7b7c834d06f3e28a339db94690172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/812b1efe6b4a2c6cdabfaf0d903bfecc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c22ca432bb45b793a18b6bc8b00effe.png)
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解题方法
【推荐1】已知函数
.
(1)判断
的奇偶性;
(2)已知
,都有
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a9f94b662bdf7ffe6c4c89c533a383d.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6088ae5c2becb542bbbc5512dfb971b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f91e8c9bb0338519379230cc91198721.png)
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【推荐2】已知函数
(
)在区间
上有最大值4和最小值1.设
.
(1)求
,
的值;
(2)若不等式
在
上有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d88aa20be6e8b5ad59fdb60a2adeb72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44284ff1ea50429a0610e13363be6080.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea3029a39fe6d67da0c12f68fd19e155.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1fd53fb8780a2bd9e451a92c7c92d9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次