名校
解题方法
1 . 已知函数
的最小值为0.![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3e3bcd67cf1a355986c6e3132470c7.png)
(1)求
的值;
(2)设
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c82fc4f6405df60909df84a0b54dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3e3bcd67cf1a355986c6e3132470c7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08486d6188f7f22ad4d86f7456e59d2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f9d50edcc5b5b7d5da5eb0077389a89.png)
您最近一年使用:0次
2020-04-17更新
|
450次组卷
|
3卷引用:云南省红河自治州2019-2020学年高三第二次高中毕业生复习统一检测数学(理科)试题
2 . 设函数
对任意的实数
,都有
,且
时,
,
.
(1)求证:
是奇函数;
(2)试问当
时,
是否有最大值或最小值?如果有,求出最值;如果没有,请说出理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a0169e37472db54391a8d175f8b2de.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)试问当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b6fd5a1dbb65cbe9bfe602c914a24f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
3 . 已知真命题:“函数
的图象关于点
成中心对称图形”的等价条件为“函数
是奇函数”.
(1)将函数
的图象向左平移1个单位,再向上平移2个单位,求此时图象对应的函数解析式,并利用题设中的真命题求函数
图象对称中心的坐标;
(2)已知命题:“函数
的图象关于某直线成轴对称图象”的等价条件为“存在实数a和b,使得函数
是偶函数”.断该命题的真假.如果是真命题,请给予证明;如果是假命题,请说明理由,并类比题设的真命题对它进行修改,使之成为真命题(不必证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d0969cb7acbeaa05a101a385348a00.png)
(1)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4ff40486914908c5899c365631a2c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)已知命题:“函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05d0969cb7acbeaa05a101a385348a00.png)
您最近一年使用:0次
名校
解题方法
4 . 已知函数
的定义域是R,对任意的实数m,n,都有
,且
,当
时,
.
(1)求
,
,
;
(2)判断函数
的单调性,并证明;
(3)若
对任意的
恒成立,求t的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a60bc03c54f5fe0cbea41e3f1e1b917f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d8dfda35f1dc37e92b20d67219aa91e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a039b83b7784132b820a32c9894a2b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74156327e5659301f391814605688899.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e1a1611f320c0f358df77aaae3f942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cf59c5075f9e6fdf3782b6c0e528237.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c50e1c5263ee5567069d003d970535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e36c9c91220b0f2cbd4a48e8fa90e3d.png)
您最近一年使用:0次
名校
5 . 已知过原点
的一条直线与函数
的图象交于
、
两点,分别过点
、
作
轴的平行线与函数
的图象交于
、
两点.
(1)证明:点
、
和原点
在同一直线上;
(2)当
平行于
轴时,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f11757bca0168e9f569d42e2803d57b1.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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2702a5539ca829b8b7a08407f0996e8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
(1)证明:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
的图象经过点
.
(1)求
的值;
(2)求函数
的定义域和值域;
(3)判断函数
的奇偶性并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94db1e8309529c0edd719e3c14a5f98e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6203fafe7de8ef54c7642954218d8d2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
2020-02-23更新
|
456次组卷
|
3卷引用:河南省天一大联考2019-2020学年高一上学期第一次阶段性测试数学试题
解题方法
7 . 已知
为原点,向量
,
,
,
.
(1)求证:
;
(2)求
的最大值及相应的x值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e185f5bec5e29b4cc4c868e1733429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f22acc5ddd5cf238f1b62c90c2e9a5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182b231c9a200406d46b30fcda38d59d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d36b7edbd8378708945cce0e9be48668.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/476e4c90669abd15a30a424ba163d2a3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2da73b2bf7a5abc6f8935968b75a7797.png)
您最近一年使用:0次
名校
解题方法
8 . 已知函数
.
(1)若存在奇函数
和偶函数
,使得
,求
的解析式.
(2)证明:当
时,
.
(3)若函数
的最大值为
,最小值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a532401909b04c9fd5f91c4eeafd45d.png)
(1)若存在奇函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a4df880ff8c0322708ca3048aa665c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/733b1f3ace6bd767fe4a26dc8098b8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a165df7fea4f5d7721e37a7a14cd74f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a4df880ff8c0322708ca3048aa665c.png)
(2)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4955c5adc717b7f6f0b975e0724ff5.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed83485b04357536c07c06cdd74f149.png)
您最近一年使用:0次
名校
9 . 已知二次函数
和一次函数
,其中a,b,c满足
且
(
);
(1)求证:两函数的图像交于不同的两点A,B;
(2)求
的范围;
(3)求线段
在x轴上的射影
的长的取值范围;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/331d5e308cd5469e0f28a8d75f79903f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/515a6ddd934c0cf6b19fed772b3835d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce613eaa5df46a50174085ef5d1087fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e56f4504e0f80fd031c8b5f41832e03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0e9d1ad9561d693958756ee8398218.png)
(1)求证:两函数的图像交于不同的两点A,B;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b246aa3b56becc905d3fb64c6d5ec4a.png)
(3)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
您最近一年使用:0次
2020-01-31更新
|
592次组卷
|
2卷引用:上海市上海外国语大学附属外国语学校2017-2018学年高一上学期10月月考数学试题
10 . 如图,四棱锥
中,
底面
,
,
,点
在线段
上,且
.
![](https://img.xkw.com/dksih/QBM/2020/3/1/2410295828226048/2411782686670848/STEM/80f55cb9-3869-4c3c-842d-5256a6b9781b.png)
(1)求证:
平面
;
(2)若
,
,
,求四棱锥
的体积;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae1e04eeb4de72e5750dae77bcb6f88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a763381e4a9e6ac9d9c1df51122570f8.png)
![](https://img.xkw.com/dksih/QBM/2020/3/1/2410295828226048/2411782686670848/STEM/80f55cb9-3869-4c3c-842d-5256a6b9781b.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b190c8d3d7d7d0e6e959e8a52eae90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7b6d04f024ca05cdfacc8ce9137c15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d79e7020414add95907e061df505ef0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
您最近一年使用:0次
2020-03-03更新
|
360次组卷
|
14卷引用:陕西省汉中市2018-2019学年高一下学期期末校际联考数学试题
陕西省汉中市2018-2019学年高一下学期期末校际联考数学试题(已下线)【南昌新东方】江西省南昌三中2020-2021学年高二上学期10月第一次月考数学(文)试题云南省弥勒市第一中学2020-2021学年高一下学期第三次月考数学试题云南省昭通市绥江县第一中学2020-2021学年高二上学期第一次月考数学试题江西省宜春市奉新县第一中学2020-2021学年高二下学期第一次月考数学 (理) 试题新疆乌鲁木齐市第八中学2021-2022学年高二上学期第一次月考数学试题新疆新和县实验中学2021-2022学年高一下学期期末考试数学试题宁夏平罗中学2020-2021学年高二上学期期末考试数学(文)试题江西省南昌市第十中学2020-2021学年高二上学期期末考试数学(理)试题江西省南昌市第十中学2020-2021学年高二上学期期末考试数学(文)试题宁夏石嘴山市平罗中学2020-2021学年高二上学期期末数学(文)试题江西省赣州市信丰中学2020-2021学年高二下学期入学考试数学(文)试题四川省峨眉第二中学校2022-2023学年高二上学期期中考试文科数学试题宁夏固原市第五中学2022-2023学年高二下学期期中考试数学(文)试题