名校
1 . 定义在
上的函数
满足
,当
时,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.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/1c73a98c1b3504e09bfbe0db849b0d24.png)
A.![]() ![]() |
B.复合函数![]() |
C.复合函数![]() |
D.当![]() ![]() ![]() |
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2 . 下列判断正确的是( )
A.若![]() ![]() |
B.已知扇形的面积是![]() ![]() ![]() |
C.![]() ![]() |
D.角![]() ![]() ![]() |
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解题方法
3 . 计算:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870d333bf4873dc543427ffd535f6abc.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870d333bf4873dc543427ffd535f6abc.png)
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4 . 用二分法求方程
的正实数根的近似解(精确度0.0001)时,如果我们选取初始区间是
,则要达到精确度至少需要计算的次数是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdbf50b34d559607dc5a75c90a72e558.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dd1cb3e4583862da087625c0d00a996.png)
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解题方法
5 . 已知条件
,条件
,则
是
的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/283ec98e1a4f81369e0cdbcecdcf5374.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c84270caa2af0be82d3f6dd6b19cd2e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
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6 . 已知
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bab884cff85efb9adcd6f0e1c31f837.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f550af87ec8a374b4c4719bbcc172f0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知
,且
,函数
,若关于
的方程
有两个不相等的实数根,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0781ef38edbafad901d9616cf118a5c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知函数
.
(1)已知
,且函数
的最小正周期为
,求函数
图象的对称中心及其单调减区间;
(2)若
,函数
在
上的最值及其对应的
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2b720dfdc6f38e5aea9cc0e3bc0df56.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0157d556c9c563a0025f6d8d1763eeb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c211e796668bc221a2c2acc29311c23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2024-01-08更新
|
1225次组卷
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4卷引用:江苏省无锡市天一中学2023-2024学年高一上学期12月阶段测试数学试卷
江苏省无锡市天一中学2023-2024学年高一上学期12月阶段测试数学试卷内蒙古赤峰市林西县第一中学2023-2024学年高一上学期期末测试数学试题(B)(已下线)专题05 三角函数1-2024年高一数学寒假作业单元合订本(已下线)高一数学开学摸底考02-江苏专用开学摸底考试卷
名校
解题方法
9 . 已知集合
,
.
(1)分别求
,
;
(2)已知
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c214f0c37fee0baab2f27b2695478c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8acc9130e3e5c791b30f02c6c9e1714.png)
(1)分别求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3424350d8da30e32d754750669e0750.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e544b1304a6bbc87283cf741f134cebe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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|
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解题方法
10 . 在等比数列
中,
,公比
,且
,又
与
的等比中项为2.
(1)求数列
的通项公式;
(2)若
,求
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09570fdbf854fe6a1048d530e26ea9f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae99e050d0f1cfc0447304f06424d17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c03551d130c77ffedf8addca16c43f1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f65fc200f10b97588a0c9896277c9c64.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e764296a62a7def78e39370f746b4663.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ee9273cc82d57d99a21fb9c4953d46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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