名校
解题方法
1 . 若
满足约束条件
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fce2dce0f3192cda4d14dc5d12adacb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5145885aab26b915ebc9cee8d9ae33b9.png)
您最近一年使用:0次
2 . 在等比数列
中,
,前
项和为
是
和
的等差中项.
(1)求
的通项公式;
(2)设
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdf53108bee755f5aa9a34ea4d163e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c246a6f84b5345f6786d41e45f192115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ff66d163e1c542742c3ef4b26f38b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
3 . 函数
的图像大致是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82bea121a6a3aae315e415393d389e9c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
4 . 函数
的单调递减区间( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02dcda7a3a40a47fa6b4e4c808ad4b68.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
解题方法
5 . 已知定义在R上的偶函数,且在
上是增函数,不等式
对于任意
恒成立,则a的取值范围是 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fdf296e51046311079fcfd3cb9677b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0eac2b31a19918895e5af2d316490e7.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
6 . 如图所示,在菱形ABCD中,
且AB=2,E为AD的中点,将
沿
折至
,使
,得到如图所示四棱锥
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/27/9933651a-7dab-4bfa-ac15-89cc1cbb7110.png?resizew=288)
(1)求证:平面
平面
;
(2)若P为
的中点,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a6f36741b86f464be362b12bac13d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fa485cf3776f36aaf4abaadaf30fb85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5d413672162172ff916a9920f20bb98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e639841f0599ff4acbee6d51456a7889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a1c9dfba740bb32b6f2e100fe424cd4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/27/9933651a-7dab-4bfa-ac15-89cc1cbb7110.png?resizew=288)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a832b538d0bd5a0051d485fae371a51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/719103f93166bab4828257608e641a9a.png)
(2)若P为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb97aff0960e2640314888a38e7169c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a7ba7cd0c654714c967a900513ba16.png)
您最近一年使用:0次
2023-01-08更新
|
179次组卷
|
2卷引用:吉林省长春市北师大附属学校2021-2022学年高三上学期期初考试数学(理)试题
解题方法
7 . 已知函数
,若关于x的方程
有四个不相等的实数根,则实数m的取值范围是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ded259f3a2a576a3bcd3d80511c8eab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2e46f49adba6036e2624639a1b966.png)
您最近一年使用:0次
2023-01-08更新
|
259次组卷
|
2卷引用:吉林省长春市北师大附属学校2021-2022学年高三上学期期初考试数学(理)试题
名校
解题方法
8 . 如图所示,在四棱锥
中,四边形ABCD为矩形,△PAD为等腰三角形,
,平面PAD⊥平面ABCD,且AB=1,AD=2,E,F分别为PC,BD的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/28/8a00ff3c-982c-4c2a-af98-dd34da2b3ceb.png?resizew=152)
(1)证明:EF∥平面PAD;
(2)求四棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f67538eedbdf54a1bcaff4394230e81.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/28/8a00ff3c-982c-4c2a-af98-dd34da2b3ceb.png?resizew=152)
(1)证明:EF∥平面PAD;
(2)求四棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
您最近一年使用:0次
2023-01-08更新
|
495次组卷
|
2卷引用:吉林省长春市北师大附属学校2021-2022学年高三上学期期初考试数学(文)试题
解题方法
9 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7558709dfc730ac709b0c7f104dd75ef.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-01-08更新
|
150次组卷
|
2卷引用:吉林省长春市北师大附属学校2021-2022学年高三上学期期初考试数学(理)试题
解题方法
10 . 平面直角坐标系中,O为坐标原点,椭圆E的左、右焦点分别为
,
,上、下顶点分别为
,
,若
,且椭圆E恰好经过点
.
(1)求椭圆E的标准方程;
(2)若经过点
的直线l与椭圆E交于M,N两点,求△F2MN的面积的最大值.
![](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/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1388be4f29174e4ad1444ec8d8e1d22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7167b1f25e38b061b3a234bf4d569a8.png)
(1)求椭圆E的标准方程;
(2)若经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd243fab0af865af67a2ab817e909cf5.png)
您最近一年使用:0次