1 . 已知函数
,其中
.
(1)若
,
,求
的对称中心;
(2)若
,函数
图象向右平移
个单位,得到函数
的图象,
是
的一个零点,若函数
在
(
,
且
)上恰好有8个零点,求
的最小值;
(3)已知函数
,在第(2)问条件下,若对任意为
,存在
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dc83360ee915013086a987281278639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb73539af255bde55d682b0d0ca735f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa9ceace94f41fcf47aa3ba6ca444a6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83f95e85ce6707ff4161cc675665c557.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9895bf4192f5c55c16f8270d53c49b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8440725e1df5ca0990b572dd84127914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7961cbe98aac6a5fdee94582c341b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64da75a02173c2a5eb40f4c68d0f4f36.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b0d3f5247aced48d54b594ec3522628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e538686939002a2ba06670615144c73d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83caece05b586ec9e2d6f1ec69449550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b56a0bc723618e7cdac994882c807bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2 . 若无穷数列
满足:存在正整数
,使得
对一切正整数
成立,则称
是周期为
的周期数列.
(1)若
(其中正整数m为常数,
),判断数列
是否为周期数列,并说明理由;
(2)若
,判断数列
是否为周期数列,并说明理由;
(3)设
是无穷数列,已知
.求证:“存在
,使得
是周期数列”的充要条件是“
是周期数列”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b2b94cbf8f1acc77ed2618d9ba5756a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f195d5a5663e0b1b0870c3f2c39d19dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cff7a7deafe061d63e324c12867f958.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b8edc8e215753c36badd65adaee992.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bc6bb7b937ded40f6f50859d8f77a5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fce83115a50f99e08e9a2db7267aeed.png)
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名校
3 . 已知函数
.
(1)求函数
的最小正周期;
(2)在
中,角
所对应的边分别为
,若
,且
,求
的值;
(3)设函数
,记
最大值为
最小值为
,若实数
满足
,如果函数
在定义域内不存在零点,试求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c04dc784ed65d3e72b0c9d5ae68e66.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d38b9fc77205c5123d6f9c82479c2ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82986ab38a4ae58593191ccae2a44f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(3)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b756b8cadf74cbaa4b6c372cc3334aeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e63c49069e6fddc906ed8e8e81d5af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b1be3c75b1e3e343c39c5d93bcdd684.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e38a9214d8fa2b38ade639a7b2239123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1fd89082c6ec9009255474bc41019c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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名校
4 . 已知
,若存在
使得集合
中恰有3个元素,则
的取值不可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50018097e45cc243c743ea3759a5796.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
5 . 已知函数
,记方程
在
上的根从小到大依次为
,
,
,求
=____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf7482a8db0d50d0f214c217f782b2e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e28c96d843f2a789b5ab775df70735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c973172a1091ecfd0da801f017798d4.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/ed09fcd02e233ecfa12a9459a54d6cfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1707e9d08402fcd2e8f2c6ec69991f.png)
您最近一年使用:0次
2021-01-09更新
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1357次组卷
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8卷引用:上海期末全真模拟试卷(3)-2020-2021学年高一数学下册期中期末考试高分直通车(沪教版2020必修第二册)
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