名校
解题方法
1 . 如图,在三棱柱中,
,
,
为
的中点,平面
平面
.
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ebe6a446b91e73b181f9f4d56264dd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41104641f3e2260d00aeadf8fb8a078a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d8afb6a50406ba4c6621f4976c8dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f25c5543b39190dc2499aa66f939659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642a7dd471434c923f76809dfa5ee183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41104641f3e2260d00aeadf8fb8a078a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
您最近一年使用:0次
2024-01-31更新
|
404次组卷
|
7卷引用:贵州省六盘水市2023-2024学年高三上学期第二次联考数学试题
解题方法
2 . 已知函数
,
.
(1)求
在
处的切线方程;
(2)当
时,
,数列
满足
,且
,证明:
;
(3)当
时,
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d986f7e47d288006e99ee7dcfe04e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d4457c1e88f428c2e98770959f7a2e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e75f1050d7eafd80ac379f0fedf2fe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d6f4a302d3a9023c0a82b889f4ba918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2251dc81292a17b6e6bf8a4beefd06af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b462bac5f3e21319598d52cfc75414fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfad06200477816cf838c4ca01817fd9.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5cdde751120c6deab563a6f7f8cf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447d6f62c09c1d05346fd16a24159f6e.png)
您最近一年使用:0次
名校
3 . 如图,在四棱锥
中,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/f7ccdf14-e4d4-4761-8780-eaca6100aabf.png?resizew=150)
(1)证明:
;
(2)若
,
,
,
,点
在线段
上且有
,求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e4e619da064751e750afca7d1244d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce0d7095ddd69d6ceaf1065b1bc2c79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e839ac941e8bf536ff35a12e56c7a400.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/f7ccdf14-e4d4-4761-8780-eaca6100aabf.png?resizew=150)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf6c62979a7aa534a191d8387a741e8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ee826937d2add7a93aaa1422f8b736.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3015db5ca1f49bb7bad43657e06863ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413c799e8fb983e6274ec4be9ff6c431.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fb22f01a12e455e98f58c4fd1c52e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d9b10e4ec59b04c3322055be6a11cf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
您最近一年使用:0次
名校
解题方法
4 . 函数
的大致图象为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97ebd30eb587f8ec31ce1ef0260dfe9b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
5 . 京剧《唱脸谱》的歌词描绘了外国人眼中京戏的美丽和多样性.其中,“四击头”一亮相,美极啦,妙极啦,简直
,顶呱呱!紫色的天王托宝塔,绿色的魔鬼斗夜叉,金色的猴王,银色的妖怪,灰色的精灵笑哈哈!一幅幅鲜明的鸳鸯瓦,一群群生动的活菩萨,一笔笔勾描,一点点夸大,一张张“脸谐”美佳佳!如图,“脸谱”图形可近似看作由半圆和半椭圆组成的曲线
.半圆
的方程为
,半椭圆
的方程为
,则下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/da2937ca-39a0-4b4d-9985-a18f51d4e893.png?resizew=134)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5602b9c30d454952e82eea6bed9be462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa4e36caf72ffb6a1ab8bff1bf4f756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7e646ed8407a2a317c0f68aa025640.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/18/da2937ca-39a0-4b4d-9985-a18f51d4e893.png?resizew=134)
A.点![]() ![]() ![]() ![]() ![]() ![]() ![]() |
B.曲线![]() |
C.若![]() ![]() ![]() ![]() ![]() ![]() |
D.画法几何的创始人加斯帕尔·蒙日发现:糕圆中任意两条互相垂直的切线,其交点都在与椭圆同中心的圆上,称该圆为椭圆的蒙日圆.那么半椭圆![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
名校
6 . 记函数
,若
(
,
,
互不相等),则
的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1c0c69a791f00589bed4586a5e5104.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4327981ee77ce2410862f46619f94dc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35bacde908aec2c313978fc4309d82bc.png)
A.![]() | B.6 | C.8 | D.9 |
您最近一年使用:0次
7 . 已知椭圆
的左、右焦点分别为
,
,半焦距为c.在椭圆上存在点P使得
,O为原点,则椭圆离心率的可能取值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6297372e4b605fd93cd77099afd3c527.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知函数
.
(1)当
时,证明:
.
(2)试问
是否为
的极值点?说明你的理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc3eb38deba5a3008e2ee5026b7d2865.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99923994f2c1721fc07450b4b9656980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5c5fdeae3d9934cbc3f916bd7fbf496.png)
(2)试问
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2024-01-09更新
|
549次组卷
|
4卷引用:贵州省黔东南苗族侗族自治州2024届高三12月统测(一模)数学试题
9 . 已知函数
,
,且
,都有
,若函数
在
上有且只有一个零点,则
的最大值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db77de4df5ce7e8ff4be6ddb4f998918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83703d33e8e04872aa316347b2133bfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3033291263ef14fbb35ae296117337b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec270afb8bfe12737ef8a8f7dd4bf1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
您最近一年使用:0次
解题方法
10 . 已知函数
,则下列结论正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2035f69c64090a05046ca2325d9331f.png)
A.若![]() ![]() ![]() |
B.将函数![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
您最近一年使用:0次