1 . 总书记说:“绿水青山就是金山银山.”某地响应号召,投入资金进行生态环境建设,并以此发展旅游产业.根据规划,以后每年投入将比上一年减少
,本年度当地旅游业收入估计为
万元,预计今后的旅游业收入每年会比上一年增加
.
(1)设
年内(
年为第一年)总投入为
万元,旅游业总收入为
万元,写出
、
的表达式;
(2)至少到哪一年,旅游业的总收入才能超过总投入.
参考数据:
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3ffd5c35bba71ea54c28622b6cf505d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/821b8672d030c240ff230a0174aa7a3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f95463e4696bcb6ed28581bad689d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
(2)至少到哪一年,旅游业的总收入才能超过总投入.
参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669d9f8710ff42552ce0c99dff29703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e5aecc7c32f46bc083030629cdd81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c9f996b1e9766a38034fc7c4e0a06d4.png)
您最近一年使用:0次
2 . 如图,在四棱锥
中,底面
是矩形,
是
的中点,
平面
,且
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/ee2b26db-04bb-4488-bf81-f8e26d6b8d2a.png?resizew=138)
(1)求证:
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e4720bd0e6a1d47a84e19b60d4ea36c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/12/ee2b26db-04bb-4488-bf81-f8e26d6b8d2a.png?resizew=138)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44f4120c94cb7176dc31fcac387b32e.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9e81c256be76e1d0a71a09a75fe91d8.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
,
,
,
的图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/10/f7b3bef2-b3ff-4645-afde-9dd467d65122.png?resizew=112)
(1)求
的解析式;
(2)求
在区间
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fcd3cea5f5e2fe943490dcb65d74c73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6a7a8fd2c0c34fde729073b3bf8dbe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/10/f7b3bef2-b3ff-4645-afde-9dd467d65122.png?resizew=112)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c73d38af4b29d3ca2c920792aedec46e.png)
您最近一年使用:0次
解题方法
4 . 已知数列
的前
项和为
,且
.
(1)求
的通项公式;
(2)设
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8058bca6dab36ed8329eef012da95994.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d289d8e284958dbe5e78494e37f3149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
2024-02-09更新
|
380次组卷
|
2卷引用:新疆兵团地州学校2023-2024学年高二上学期期末联考数学试题
5 . 已知椭圆C:
(
)的长轴长是短轴长的3倍,且椭圆C经过点
.
(1)求椭圆C的方程.
(2)设A是椭圆C的右顶点,P,Q是椭圆C上不同的两点,直线
的斜率分别为
,
,且
.过A作
,垂足为B,试问是否存在定点M,使得线段
的长度为定值?若存在,求出该定点;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08e69243051ead9e21605e11daae67a.png)
(1)求椭圆C的方程.
(2)设A是椭圆C的右顶点,P,Q是椭圆C上不同的两点,直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5671fb25040a712a49e8c8148d67d300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03b8bfb1960c394ccfb7bb12de1c1b2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb780dea4bb7d09bf3cb08b7258ebbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
您最近一年使用:0次
2024-02-06更新
|
335次组卷
|
3卷引用:新疆兵团地州学校2023-2024学年高二上学期期末联考数学试题
名校
解题方法
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bed683a10c8e1808f1bb6cc773f76d9.png)
(1)求
的最小正周期;
(2)求
在区间
上最小值以及取得最小值时
的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bed683a10c8e1808f1bb6cc773f76d9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da0b1b34a0cb69bd9e0a4622b6352968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
.
(1)判断函数
的奇偶性,并证明.
(2)若
对所有
,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e07408e4e0c8e04c285f31efa64ebc9b.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efbd930f96f6cc5213faa7357a95c113.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75bde2e500fd5386e355db9040a1946d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/262d7da8f17131eef23addd1854b170d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
8 . 化简求值:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf7d41ff2a41fd73a479320603891e7d.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e206816a469758b5760ef6cff38010.png)
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf7d41ff2a41fd73a479320603891e7d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e206816a469758b5760ef6cff38010.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d609e84efc858a10e58c826679e604.png)
您最近一年使用:0次
9 . 求证:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa0daa8f5f06cbdc46d1f921415e2d.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34fa0daa8f5f06cbdc46d1f921415e2d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0264324604837d88fd18e727346dfc23.png)
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10 . 求值
(1)
的值
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85ced086f15dffc9a8ce1bd5b29c70ed.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/441c6415366f50af72c061d5cea69ebe.png)
您最近一年使用:0次