名校
解题方法
1 . 已知复数
.
(1)若复数
为纯虚数,求
;
(2)若复数
在复平面内对应的点在第四象限,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4366fa9c602566f93056c558e06e7bcb.png)
(1)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41042207515dd2e8349c805e6aee400.png)
(2)若复数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
您最近一年使用:0次
2 . 已知点
在双曲线
:
(
)上.
(1)求双曲线
的方程;
(2)是否存在过点
的直线
与双曲线
相交于
,
两点,且满足
是线段
的中点?若存在,求出直线
的方程;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d12ed430d52fc0ba03785273eda3d1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0797be40412fd0a089bd25cc1f83cbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)是否存在过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e280d0441a31fdbef3ce192d8d8f8dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
名校
解题方法
3 . 已知等差数列
的前
项和为
.
(1)求
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/156ff12ebc86677c4215a8f0563ef4ed.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/216876de04325fd250c38c485cbc34b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.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
2024-06-15更新
|
757次组卷
|
3卷引用:广东省湛江市第一中学2023-2024学年高二下学期开学考试数学试题
名校
解题方法
4 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d65d7a9714360d0f2f9f0b1b898996a.png)
(1)求
的值;
(2)求
的值;
(3)求
的展开式中含
项的系数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d65d7a9714360d0f2f9f0b1b898996a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f35f7dcce39f3d4dc6b7faf84dc1d0a1.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c31afa3bd0d8005f4c8abbdbf620b3.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b18fe6deb803fc86211e00c5ee62e968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3336c8ed5361c10c37300e41e03f9f2f.png)
您最近一年使用:0次
解题方法
5 . 已知
,集合
,
.
(1)若
,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cf34786277a73c4d7f7813a5a002e37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c0e1ad91c344f809c3482515e2fee0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
6 . 如图,在
中,点
在线段
上,且
.
表示
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb36c896594edd0524b3c41d01a51fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be656083580a03c6481fb75881b84f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d021a5c98388463d577675e58068aa7.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a4d2192a47b5e3d24567653237a5d22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/746853ea6d76bd7cccc6bdd6c739aed7.png)
您最近一年使用:0次
2024-04-19更新
|
580次组卷
|
3卷引用:湖南省多校联考2023-2024学年高一下学期入学考试数学试题
湖南省多校联考2023-2024学年高一下学期入学考试数学试题江西省宜春市宜丰中学2023-2024学年高一下学期3月月考数学试题(已下线)高一下学期期中考试--重难点突破及混淆易错规避(苏教版2019必修第二册)
名校
7 . 已知函数
.
(1)若
,求不等式
的解集;
(2)已知
在
上单调递增,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e0ba068906acd08973bf89c1c06e81c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc64c9fc732c76bec3e691d7ddbbefe.png)
您最近一年使用:0次
解题方法
8 . 已知动点
到定点
的距离与动点P到定直线
的距离之比为1,若动点P的轨迹记为曲线C.
(1)求曲线C的方程;
(2)不过点F的直线与曲线C相交于A,B两点,且
,若AB的垂直平分线交x轴于点N,求点N的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63309dbc3612815f6dbdee23d9a10adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
(1)求曲线C的方程;
(2)不过点F的直线与曲线C相交于A,B两点,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13583930245cfec4371338c0e0cfd301.png)
您最近一年使用:0次
9 . 已知函数
,且
.
(1)求
;
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72d469ce65946f01efaa25b4a317c678.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec65a2bec3d4296c613a80b3ae41d5e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa16aea6803864cc915c63e8ee9936c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a73b85378c1f65d0ca0e4c30a14ccee2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
10 . 已知
.
(1)若
(
为坐标原点),求
与
的夹角;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30e1a313feb36fcdcb02a5103a7ad533.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe4bcd4a8f430bed672d424a0c35bd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc9656d8286c4d6fa309d6ae347c89e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef8337706c550bc095d7a2bd872221a1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bf52bc1c5ed7b184e96db786b402c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3482a6857cc6acc75cd9a89f3580fabf.png)
您最近一年使用:0次
2024-04-04更新
|
501次组卷
|
2卷引用:湖南省衡阳市第八中学2023-2024学年高一下学期开学考试数学试题