名校
解题方法
1 . 在
中,角A,B,C所对的边分别为a,b,c,现有三个条件:
①
;
②
;
③
(S为
的面积).
请从以上三个条件中选择一个填入下面横线上作为前提条件,并求解.(注:若选择多个条件分别解答,则按第一个解答给分)
已知:______.
(1)若
,
,求
内切圆的半径;
(2)若点D是
上一点,且
,
的面积
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8604e40595ed8a98cda0ef529845a082.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8f385e11d2e33d84245e9b10da43ba.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/511f1fef35ea0e9c51704d8e47afe9a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
请从以上三个条件中选择一个填入下面横线上作为前提条件,并求解.(注:若选择多个条件分别解答,则按第一个解答给分)
已知:______.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b8b709a173120436dac669c74b927d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若点D是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7289ef8051c49b4089836bac6f70b4d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a2dd89c37b60b4596ac30e339aa0000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
您最近一年使用:0次
名校
解题方法
2 . 如图所示,在四棱锥
中,底面
是矩形,侧棱
底面
,
,E是
的中点,过点D作
于点F.求证:
平面
;
(2)
平面
.
![](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/5a1b49f64e0065edad868b25e9fcada3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43d4c42112e0a22f240ce2ae432e5b4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df44d1ff1227c4de03ca21ac87f3f86a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1666b45ed176d648dd1764f4a2dbd73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34be4e71cabf458f17a6cd7f24bc70af.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c45fbffb9e2c7fa7c5006cde8da0cabe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134ef0b1a2669a09f05bd4dc2496f706.png)
您最近一年使用:0次
名校
解题方法
3 . 双曲线
的左、右焦点分别为点
,斜率为正的渐近线为
,过点
作直线
的垂线,垂足为点
,交双曲线于点
,设点
是双曲线
上任意一点,若
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/027194ee457f8d2e7dfd7d6795841b5e.png)
A.双曲线![]() ![]() |
B.双曲线![]() ![]() |
C.当点![]() ![]() ![]() |
D.点![]() ![]() |
您最近一年使用:0次
名校
解题方法
4 . 设双曲线
的左焦点为F,O为坐标原点,P为双曲线C右支上的一点,
,
在
上的投影向量的模为
,则双曲线C的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/775c7ecd1713fe49c0b449bfc58d72c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b001cb332a64f2a72dd71a41862595ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2e065fbbc5c8160545b51f50b2a9606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ca651e78a0a182d81c30488683d594.png)
A.3 | B.4 | C.5 | D.6 |
您最近一年使用:0次
2024-06-11更新
|
307次组卷
|
2卷引用:贵州省2024届高三下学期4月新高考“大数据赋分”诊断性联合考试数学试题
名校
解题方法
5 . 已知
的内角A、B、C所对的边长分别为a、b、c,且满足
.请回答下列问题:
(1)证明:
为等腰三角形;
(2)若
的外接圆直径为1,试求
周长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/720137bea4ca2abe1f49c45d63fa6a33.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
解题方法
6 . 下列说法正确的是( )
A.若随机变量X,Y满足![]() ![]() |
B.相关指数![]() |
C.已知![]() ![]() ![]() ![]() |
D.已知随机变量![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
7 . 如图,在直三棱柱
中,
,
,
,
,点
是棱
的中点.
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615fc8790237a1b09af51d6bcad6b595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca036d049f5205cf04cb1b9c5cd03f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c122ca7141c43c15c783968f5f0dbc19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02cb62f4c1e0e023619922eb8a509c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62fd0b510920be6bc60d170c3ff3da3.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f62fd0b510920be6bc60d170c3ff3da3.png)
您最近一年使用:0次
2024-06-10更新
|
279次组卷
|
2卷引用:贵州省都匀市民族中学2023-2024学年高二上学期期中考试数学试题
名校
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5a951a4a8df40e4779d213f33ee8e6.png)
在一个周期上的图象(先在所给的表格中填上所需的数字,再画图);
(2)求
在区间
上的最大值和最小值及相应的
值.
(3)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5a951a4a8df40e4779d213f33ee8e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
0 | |||||
x | |||||
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f26ae54737caa621832628479fa0de30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705e64c6f20c5ba1bfeeb92eb2a31b04.png)
您最近一年使用:0次
2024-06-08更新
|
212次组卷
|
2卷引用:2024年贵州省观山湖第一中学高一年级第二学期5月月考数学试题
名校
解题方法
9 . 设
的内角
的对边分别为
,且
.
(1)求角
的大小;
(2)若
,角
的平分线交
边于
,求
的值.
![](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/4317e7917b4a32d538469506f5c40639.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a2d1973cd9f92fd15946d6d34452f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27a65a740900ed21397f516cda4a58b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c163a189c44fd9e9234bedd4dd96625c.png)
您最近一年使用:0次
2024-06-08更新
|
967次组卷
|
2卷引用:2024年贵州省观山湖第一中学高一年级第二学期5月月考数学试题
名校
解题方法
10 . 已知向量
,
满足
,
,
,则
与
的夹角为________ .
![](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/6f96512f96698efe080f3d62c3084cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16d81d266f24698696a81ed5e007680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be907a5a919e17784f7be656068689c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
您最近一年使用:0次
2024-06-08更新
|
592次组卷
|
3卷引用:2024年贵州省观山湖第一中学高一年级第二学期5月月考数学试题
2024年贵州省观山湖第一中学高一年级第二学期5月月考数学试题福建省泉州市惠安县泉州惠南中学2023-2024学年高一下学期5月期中考试数学试题(已下线)专题01 平面向量(2)-期末考点大串讲(苏教版(2019))