名校
解题方法
1 . 在
中,三个内角
所对的边分别为
.已知
的面积为
,
.
(1)求
的值
(2)求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf8c9594a0dc9767b5e84b9d55c5d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24eb259fab57e11a4b98d4448a0e65fe.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6732580ffff616408c0985d7175a4c2.png)
您最近一年使用:0次
名校
解题方法
2 . 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)
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3 . 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)
解题方法
4 . 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)
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解题方法
5 . 如图,在四棱锥
中,底面
为菱形,
底面
,
为线段
的中点,
,点
在线段
上(不含端点),再从下面三个条件中选择一个条件作为已知条件.
四点共面 ②
平面
③
∥平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1dcba40b263c1119ea0a36651c7812.png)
(1)求
的值;
(2)求平面
与平面
所成角的余弦值.
![](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/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ac7fe2f4d4d9dc49fecb0974a4e5ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67466c080ea003a711a7e9f5bb3db716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d289a261d24aa6051c005aebafc08fa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a10feb936bdeb0d8be1e7cb41b451fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071159cac13097ea0928285bc1be66d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f571a1aac46c6d0cf440c0ec2846bf9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1dcba40b263c1119ea0a36651c7812.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf3b1771fbc438ff888bd28bb1dadcee.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffee8b7eff437080a0936d837ceabe95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffafe757b2f1ab1b6bca20e95290304.png)
您最近一年使用:0次
解题方法
6 . 已知函数
.
(1)若
,求
的单调区间;
(2)若
有最小值3,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1962d72e1d8e2fcb5419293fb40d250.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
7 . 记
的内角
的对边分别为
,已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f860519b2d038f2110a5a0df52cfcbb4.png)
(1)若
,求
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7af7c5df749c6fa9bbe87faa72c66d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba1e7a657ed134e68efd159b606620f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f860519b2d038f2110a5a0df52cfcbb4.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18617ef38a8df95ff3d66fa811fd56c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd743cef52911bf275fb737557c6c7b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dcfa3e340b3976832d450dd4ae7e7a7.png)
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8 . 已知数列
的通项公式为
,数列
的通项公式为
.
(1)求数列
前6项的中位数和平均数;
(2)从数列
前6项中任取2项,求取出的2项中恰有1项是数列
中的项的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f48873417a7667f628e5c7052c96f416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/265eac41b1afcc01a6bf70e9591b617f.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)从数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
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23-24高一下·四川成都·开学考试
名校
解题方法
9 . 若函数
为定义在R上的奇函数.
(1)求实数a的值,并判断函数
的单调性;
(2)若对任意的实数
,不等式
恒成立,求实数k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/878096537bd540d4e8536153f88b5210.png)
(1)求实数a的值,并判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f851f9849dfe2c3306d20d06f712069d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03d0f5dc4ede87819f36a116c22a20f3.png)
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10 . 求满足下列条件的曲线方程:
(1)已知双曲线的焦点在x轴上,离心率为
,且经过点
;
(2)若动点P在
上移动,求点P与点
连线的中点的轨迹方程.
(1)已知双曲线的焦点在x轴上,离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa585b9257ed0798213a9ae9b87d291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c9524efddc807d6c9ebf37b1cf37628.png)
(2)若动点P在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2751c5819303b8e60add2356bd7c808b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/203b64e2a9e4ac8bdfb1b541597f7119.png)
您最近一年使用:0次