名校
1 . 已知
,
,
,且
,
与
相交于点P.
(1)求点C和点P的坐标;
(2)求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1294434b22cb5133043a2270ae1c43f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c850811ba59a05e945a665196539a048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c95963e8e4dcc511f0d86b1853ddcdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0acc212c5c94602deb68c86c33369f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(1)求点C和点P的坐标;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a10f2c4a2a9c9cb4047f9f27cff1d7a.png)
您最近一年使用:0次
名校
解题方法
2 . 设
,
是不共线的两个向量.
(1)若
,
,
,求证:A,B,D三点共线;
(2)若
与
共线,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c08ebbac3d6784d6d3565192f36f91a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e5f8509784fc0cc4134e41f8dcc0a60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1af26762e8309eb14f2bcab0954f7165.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52395f0262abbf2a4b1a823b4b65caae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a126bb16b6ab8644a8e8d33f6909224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2024高一下·上海·专题练习
3 . 已知函数
.
(1)求
的单调递增区间;
(2)若
,求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd7ff32644b78ce91ebcad5e5ef8b2c1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee7a3e19a25b7564106a3d2cf3a59b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
您最近一年使用:0次
名校
解题方法
4 . 已知向量
与
的夹角为
,且
.
(1)求
的值;
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380be26ed3df021b0f5b57ce1fc4e344.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acdc2475b065cfc88e27419a65b2d842.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f82b38124309fa742184532f1df5695.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
23-24高一下·上海·期末
解题方法
5 . 在平面直角坐标系
中,以
轴为始边作两个钝角
,
,它们的终边分别与单位圆相交于
,
两点,已知
,
的横坐标分别为
,
.
的值;
(2)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3e5af20b2f8c1fba4470f9650989e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.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/14ac165b68ea371bc926f7477ce740d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ca4419cbe7c3dc2e40d0a17c9cad24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c1f914da4657eca7865982b130b299.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbfea1e888676a13ad69c72fba0405ea.png)
您最近一年使用:0次
6 . 将函数
的图象向左平移
个单位长度,然后把曲线上各点横坐标变为原来的
(纵坐标不变)得到函数
的图象.
(1)求函数
的解析式;
(2)若
,求函数
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf521f6437c76c847872f1047664aa4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af17cc007e36db26c47a96d9c7a41757.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
您最近一年使用:0次
解题方法
7 . 在平面直角坐标系xOy中,点
,
,
.
(1)求
;
(2)若实数
满足
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f877f49ebcca3dc632948ef6a7ea7ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466e8c438084aef563c6aaeff3bca583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d23871dc247c1509ccfc69deb5ee0f79.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a47b376264d525c790ebad49a849c08.png)
(2)若实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4fe08541d65a0fa2a09cbff81b3815d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
解题方法
8 . 已知一个平面内的三个向量
,
,
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9feedc68e0c2d1b0de51d28e61496e59.png)
(1)若向量
为单位向量,且与
共线,求向量
的坐标;
(2)若
,且
与
垂直,求向量
与
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bd18136e4e71e1e267bc9f8634b932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec82bd4e0fb7887e5999b8220f60b073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ecf646bc2e4cdd46fc5cc40d741dab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9feedc68e0c2d1b0de51d28e61496e59.png)
(1)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ecf646bc2e4cdd46fc5cc40d741dab5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bd18136e4e71e1e267bc9f8634b932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ecf646bc2e4cdd46fc5cc40d741dab5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5404940e86fc3db18adcb5be78e2e276.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59feec0a253476e1baa7ac2d196da24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb1d6b61205267d523c5cab8ac68cf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23bd18136e4e71e1e267bc9f8634b932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec82bd4e0fb7887e5999b8220f60b073.png)
您最近一年使用:0次
名校
解题方法
9 . 诚信是立身之本,道德之基.某校学生会创设了“诚信水站”,既便于学生用水,又推进诚信教育,并用“
”表示每周“水站诚信度”.为了便于数据分析,以四周为一个周期,下表为该水站连续八周(共两个周期)的诚信度数据统计,如表1:
(1)计算表中八周水站诚信度的平均数
;
(2)从表中诚信度超过
的数据中,随机抽取2个,求至少有1个数据出现在第二个周期的概率;
(3)学生会认为水站诚信度在第二个周期中的后两周出现了滑落,为此学生会举行了“以诚信为本”主题教育活动,并得到活动之后一个周期的水站诚信度数据,如表2:
请根据提供的数据,判断该主题教育活动是否有效,并根据已有数据说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc891e44ebe17a1ffc956667a4112bf4.png)
第一周 | 第二周 | 第三周 | 第四周 | |
第一个周期 | ||||
第二个周期 |
(1)计算表中八周水站诚信度的平均数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfbe7f95b5d89f9409ec24536da9e826.png)
(2)从表中诚信度超过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4426df5be4e96b6385de735db9f69772.png)
(3)学生会认为水站诚信度在第二个周期中的后两周出现了滑落,为此学生会举行了“以诚信为本”主题教育活动,并得到活动之后一个周期的水站诚信度数据,如表2:
第一周 | 第二周 | 第三周 | 第四周 | |
第三个周期 |
您最近一年使用:0次
10 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)如果点
是角
终边上一点,求
的值;
(2)设
,求
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9688a68bd2d1b2c8dcd6568e1a5ac3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
(1)如果点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58e7c6b1e8d06e439c1ede19f99286c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f3b2cc4fc44eef6a51e1a4ae89ecb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次