1 . 已知集合
,
,
.
(1)求
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20889682a2ce4c6efab561457cdec3f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6baac8f985bdc46c0d398f45f112f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a64dc61989ca50b9ee19d835c4ed268.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a191309dcecdc978029cc2542e6ad82.png)
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2 . 求下列方程组的解集.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e79ef8737cc991109dcd04d10c315c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31de3e91518290460fad5eec087f632b.png)
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3 . 求下列不等式的解集.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a757129b48637c74ab528b798573e4c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f20568455fe9b1b1222ce392c6acbee.png)
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4 . 设
是方程
的两根,不解方程,求下列各式的值.
(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683ea99d161883327c6d0b54146f08e6.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20fef976a0230bdfe3bc758e93987ba8.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffd54dfb0b38612dcf933812fe3434b3.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944f2e73fdb20727fc9e69334f945692.png)
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5 . 平面内给定三个向量
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e915de672a271e60d48b6889422c4e0.png)
(1)求
;
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa84a3b52fcaed4a313e14fae2897db0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9023b2cf1482bcd26e7adf1731fef635.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e915de672a271e60d48b6889422c4e0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ddcd55f9fbeb0de636fd1d7ac37283.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212a31f080e3f81beeaf864eefa7a733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2019-12-17更新
|
750次组卷
|
2卷引用:辽宁省营口市大石桥市第三高级中学2020-2021学年高二上学期12月月考数学试题
名校
6 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a4030fed64c6bf23e35c305c370764.png)
(1)若
时,
的最大值为
,求
的值;
(2)求函数
的单调递增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99a4030fed64c6bf23e35c305c370764.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
您最近一年使用:0次
2019-12-16更新
|
1556次组卷
|
5卷引用:湖南省长沙市雅礼中学2019-2020学年高一上学期12月月考数学试题
7 . 已知复数
,则当实数
为何值时,复数
是:
(1)实数;
(2)
;
(3)对应的点在第三象限.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53de4e10c76d5aeaf72650cf5c5e6738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
(1)实数;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b061df5772f4bbdcc3e6cf105e5e5366.png)
(3)对应的点在第三象限.
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8 . 对某校高二年级800名学生上学期期末语文和外语成绩,按优秀和不优秀分类得结果:语文和外语都优秀的有60人,语文成绩优秀但外语不优秀的有140人,外语成绩优秀但语文不优秀的有100人.
问:(1)由题意列出学生语文成绩与外语成绩关系的
列联表:
(2)能否在犯错概率不超过0.001的前提下认为该校学生的语文成绩与外语成绩有关系?(保留三位小数)
(附:
)
问:(1)由题意列出学生语文成绩与外语成绩关系的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
语文优秀 | 语文不优秀 | 总计 | |
外语优秀 | |||
外语不优秀 | |||
总计 |
(附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3821f70c08c5180e9b3086d3c9610f.png)
![]() | 0.010 | 0.005 | 0.001 |
![]() | 6.635 | 7.879 | 10.828 |
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名校
9 . 已知直线
的参数方程是
(
为参数),在平面直角坐标系中,以坐标原点为极点,
轴的正半轴为极轴建立极坐标系,曲线
的极坐标方程是
.
(1)将曲线
的极坐标方程化为直角坐标方程,直线
的参数方程化为直角坐标方程;
(2)求直线
被曲线
截得的弦长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1893a54604df175280d4f705f8439673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7d96c2047d774cc6ca7bef7b915a9c.png)
(1)将曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2019-12-13更新
|
1571次组卷
|
4卷引用:辽宁省沈阳市城郊市重点联合体2019-2020学年高二上学期期中考试数学(文)试题
10 . 已知复数
满足
(
为虚数单位),求
的共轭复数
和
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c8899b63dafb7010e11af60f370fde2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cebcc45614dae664853e3e7a141c0a49.png)
您最近一年使用:0次
2019-12-13更新
|
259次组卷
|
3卷引用:辽宁省沈阳市城郊市重点联合体2019-2020学年高二上学期期中考试数学(文)试题
辽宁省沈阳市城郊市重点联合体2019-2020学年高二上学期期中考试数学(文)试题(已下线)第三章 数系的扩充与复数的引入(基础过关)-2020-2021学年高二数学单元测试定心卷(人教版选修2-2)苏教版(2019) 必修第二册 一课一练 第12章 复数 12.2 复数的运算 第1课时 复数的运算(1)