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1 . 设
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369dd3ff5cc1dea0949d0a538e3cdebb.png)
,记
.
(1)若
,
,当
时,求
的最大值;
(2)若
,
,且方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d533c2927bf8b0de9dd6fe3659f59e72.png)
有两个不相等的实根
、
,求
的取值范围;
(3)若
,
,
,且a、b、c是三角形的三边长,试求满足等式:
有解的最大的x的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f33b53f9075962e636fd8a92a71a71f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369dd3ff5cc1dea0949d0a538e3cdebb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49ad943df3f041566c76f1a3b1513852.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4bb053ba9f2751c97b3dc4c1898080b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4880034fc9384ba2c267747628ec8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/538193a4717d564c01145e82314c2d1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d533c2927bf8b0de9dd6fe3659f59e72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2ed12bdfda0c5bfff863f6da53cfec.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/1019d4ad2e3fb4a7abb66e0e9e55b556.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81eedd077b507f134c97a79293190a9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87d10a32f013100f9a42d8a88d7fb222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
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2020-01-15更新
|
206次组卷
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2卷引用:上海市七宝中学2017-2018学年高三上学期10月月考数学试题
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2 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddce445948605713fc12cc645efe5346.png)
(1)如果函数的定义域为R,求m的范围;
(2)在
上为增函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddce445948605713fc12cc645efe5346.png)
(1)如果函数的定义域为R,求m的范围;
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d8fcaef916db4b90e9ce3054974759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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3 . 已知
为奇函数,
为偶函数,且
.
(1)求
及
的解析式及定义域;
(2)若函数
在区间
上为单调函数,求实数k的范围;
(3)若关于x的方程
有解,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94ed64bf364c7bdf6c461fdbd5f6631.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebeaf9e2fba949c5b332b97eed96e29a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc30165c18de623d0a3efb961e606d1c.png)
(3)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b093b5dd88c5dccf6b48362ae8d733.png)
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2019-11-08更新
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358次组卷
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4卷引用:2016-2017学年山东省普通高中高一上学期期末考试数学试卷
17-18高二·全国·课后作业
4 . 已知一元二次方程
的一个根在
内,另一根在
内,试用图表示出以
为坐标轴的点
的存在范围,并求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8a8a6f718afd6fe4c29806ed7e2da2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d624920c40fceaba1885c5947f12b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4833ae6be21b353b5ebbaef21e00dba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5329b64d87e8083b16a15aed54b47b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6dd080f2f7e1a817e541acdbf69f7a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bced49439e6a42742f630ad823a52441.png)
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5 . 已知函数
.
(1)若f(﹣1)=﹣3,求a
(2)若f(x)的定义域为R,求a的取值范围;
(3)是否存在实数a,使f(x)在(﹣∞,2)上为增函数?若存在,求出a的范围?若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b8daee5bd23efb654233255add75242.png)
(1)若f(﹣1)=﹣3,求a
(2)若f(x)的定义域为R,求a的取值范围;
(3)是否存在实数a,使f(x)在(﹣∞,2)上为增函数?若存在,求出a的范围?若不存在,说明理由.
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6 . 大西洋鲑鱼每年都要逆流而上,游回产地产卵.研究鲑鱼的科学家发现鲑鱼的游速可以表示为函数
,单位是
,其中
表示鱼的耗氧量的单位数.
(1)当一条鱼的耗氧量是
个单位时,它的游速是多少?
(2)若鱼的游速范围是
,求鱼耗氧量的单位数的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/014139d39683c3fe41deffba884efd33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22964de2a093c97a8755dbe70487735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)当一条鱼的耗氧量是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/def7f5a19d0608e6bb2ddaaea5a0c965.png)
(2)若鱼的游速范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4365e2f10eb6c0215e0e612669d83b51.png)
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名校
7 . 已知函数
.
(1)当
时,方程
的解的个数;
(2)对任意
时,函数
的图象恒在函数
图象的下方,求
的取值范围;
(3)
在
上单调递增,求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd4c1cd356731fb8defe81a11b5b9ee.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
(2)对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7629b32068eceefee92962b82645b6b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636e471cf2e1904f72ca6ad4c8f0378a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2016-12-04更新
|
556次组卷
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3卷引用:2015-2016学年江苏省泰兴中学高二下学期期中数学(文)试卷
8 . 已知函数
.
(1)若
时,求方程
的根;
(2)若
在
上有两个不同的零点
、
,求
的取值范围,并求
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f2c4544c5ecba60faed58f4e4dad166.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fef976a0230bdfe3bc758e93987ba8.png)
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11-12高三·上海·期中
9 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0660a21711e04b9cd2c0427ccf6b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76120e5c37c4fc3af41b6c4151be1cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cef3316a898f1cb539e87a5de9b2eb.png)
⑴试就实数
的不同取值,写出该函数的单调递增区间;
⑵已知当
时,函数在
上单调递减,在
上单调递增,求
的值并写出函数的解析式;
⑶若函数
在区间
内有反函数,试求出实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0660a21711e04b9cd2c0427ccf6b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76120e5c37c4fc3af41b6c4151be1cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2cef3316a898f1cb539e87a5de9b2eb.png)
⑴试就实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
⑵已知当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eda48853e8bdb7e266370b4e0d5a258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/649949df5856e5ffbd98380d073ffc50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e123eade9cf1c926ea204ea74f71f16b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
⑶若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bdb398c53fd08b48310b6b01254413.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
10 . 在数学中,双曲函数是与三角函数类似的函数,最基本的双曲函数是双曲正弦函数与双曲余弦函数,其中双曲正弦:
,双曲余弦:
.
(
是自然对数的底数,
)
(1)解方程:
;
(2)求不等式:
的解集;
(3)若对任意的
,关于
的方程
有解,求实数
取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf294fc60a49eb58126323c82e1dd21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebdfb15738af159d78713243cf54761f.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dcd143a57a268a5a8ef486e2a4d5c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e0cc202753558c28d925d782b27198a.png)
(1)解方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01958f2959a7fa4a86d8b25058ccb1ba.png)
(2)求不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3595ee8f11354af3e41cd2ea9b17675.png)
(3)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eec84ddce00aed792519cf7919bfeced.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b3d6370f14c917f5b3e58a489e279c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-03-19更新
|
147次组卷
|
4卷引用:上海市(进才、复旦附中分校等校)四校联考2023-2024学年高一上学期12月月考数学试卷
上海市(进才、复旦附中分校等校)四校联考2023-2024学年高一上学期12月月考数学试卷(已下线)专题04 指数函数与对数函数3-2024年高一数学寒假作业单元合订本黑龙江省大庆铁人中学2023-2024学年高一下学期开学考试数学试题2024年贵州省观山湖第一中学高一年级第二学期5月月考数学试题