名校
1 . 已知数列
满足
,
,记数列
的前n项积为
,前n项和为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385275d29d8c8a7841eaeaa3dfab2cdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afc9ec4acbb9ebad82ec27ac3e7d14d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
2 . 已知抛物线
的焦点为
,其准线
与
轴的交点为
,过点
的直线与C交于
,
两点,点
为点
在
上的射影,线段
与
轴的交点为
,线段
的延长线交
于点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/159a2d4945049c5a8f525f18763eba91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/907d5147cea4c9ce855074864fe54506.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
A.![]() |
B.![]() |
C.直线![]() ![]() |
D.![]() ![]() ![]() |
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3 . 若函数
在
上单调,则
的取值可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c64550e7b3bcf3b8793bf737a9fb75.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3d6d18a05bace9fa8271eae07020673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 将函数
的图象向右平移
个单位长度后,得到函数
的图象,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab30dbecfb6ccd327bd1c646509e10ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcf8193aaa40bcd8a82e71b49a673256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f46a13297035069791fec890b2d7f7b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a8855aff1b33b5849d88513101d8d8.png)
的部分图像如图所示,
是等腰直角三角形,其中
两点为图像与
轴的交点,
为图像的最高点,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a8855aff1b33b5849d88513101d8d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3fa5f9a8d31a4425722a9e5ee2533e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0b5bc0105f55a7fa980ae7b1019d64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f6f96a7c67ccb294c6f9d209061c96e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 已知函数
的最小正周期为
,则
图象的一个对称中心的坐标为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438672e450b410391d1b5a53e82d8c9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7日内更新
|
392次组卷
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4卷引用:辽宁省抚顺市六校协作体2023-2024学年高一下学期5月联考数学试卷
辽宁省抚顺市六校协作体2023-2024学年高一下学期5月联考数学试卷湖南省岳阳县第一中学、汨罗市第一中学2023-2024学年高一下学期五月联考数学试题内蒙古自治区兴安盟2023-2024学年高二下学期学业水平质量检测数学试题(已下线)专题02 三角函数的图象与性质常考题型归类-期末考点大串讲(人教B版2019必修第三册)
名校
解题方法
7 . 已知
,
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba4d4a568591e6afb60338d093f0318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754826457671db8939098215943e656a.png)
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解题方法
8 . 在
中,角A,B,C所对的边分别为a,b,c,
,
.
(1)求角B的大小;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6129fbf40a950fc8c516f0abaab21957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab2d91c489085219ac31c1ef8d7430f.png)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/708fb15948f1fc5e6c6838c573bfa4ce.png)
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9 . 在
中,角A,B,C所对的边分别是a,b,c,且________,在①
;②
;③
,这三个条件中任选一个,补充在上面的横线上,并解答下列问题:
(1)求角A的大小;
(2)若AD是
的角平分线,且
,
,求线段AD的长;
(3)若
,判断
的形状.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b6c4e81dcf5e218116edd0962bd42ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e732ded6a7c9edfe2c223eb2e1959f51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4683a7d4d99602c8e24c901428235ad.png)
(1)求角A的大小;
(2)若AD是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcb5bac75f36bb1dc5c8190d4dbe681d.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8018ca74a3562c4a9910a17ab9e37a61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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10 . 某工厂生产某款电池,在满电状态下能够持续放电时间不低于10小时的为合格品,工程师选择某台生产电池的机器进行参数调试,在调试前后,分别在其产品中随机抽取样本数据进行统计,制作了如下的频率分布直方图和
列联表:
(1)求列联表中a,b的值;
(2)补充
列联表,能否有95%的把握认为参数调试与产品质量有关;
(3)常用
表示在事件A发生的条件下事件B发生的优势,在统计中称为似然比.现从调试前、后的产品中任取一件,A表示“选到的产品是不合格品”,B表示“选到的产品是调试后的产品”,请利用样本数据,估计
的值.
附:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c175af9f46a65c426f9adccb676440b6.png)
产品 | 合格 | 不合格 | 合计 |
调试前 | a | 16 | |
调试后 | b | 12 | |
合计 |
(1)求列联表中a,b的值;
(2)补充
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c175af9f46a65c426f9adccb676440b6.png)
(3)常用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8d83873cde08c5356f6830a65cccbe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3990c4e36b13860dcda266084cdc9f44.png)
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b38cfee12dbeeab57c707dca8643538a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/356b05e46b10ee51c3e43546d73ec96c.png)
![]() | 0.10 | 0.05 | 0.01 | 0.005 | 0.001 |
k | 2.706 | 3.841 | 6.635 | 7.879 | 10.828 |
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