真题
解题方法
1 . 已知函数
的定义域为R,定义集合
,在使得
的所有
中,下列成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff42ff0e772a602981c54616134a52c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e98d299979423e5ae74b618b07d10c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
A.存在![]() | B.存在![]() ![]() |
C.存在![]() | D.存在![]() ![]() |
您最近一年使用:0次
2 . 若函数
存在零点
,函数
存在零点
,使得
,则称
与
互为亲密函数.
(1)判断函数
与
是否为亲密函数,并说明理由;
(2)若
与
互为亲密函数,求
的取值范围.
附:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d35b13df9d8831bb4368e7036488675d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db18e638db2fb367cfe10bfaee37229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e60075f5d53066c03f106346dada26.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe2f63cdc7606986d6250facf20ad1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbfd7245d512a98d9105f843c094c7e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c292239a48d1475428eeb9863d5dceb.png)
您最近一年使用:0次
2024-06-16更新
|
225次组卷
|
5卷引用:云南省部分校2023-2024学年高二下学期月考联考数学试题
解题方法
3 . 过点
可以向曲线
作
条切线,写出满足条件的一组有序实数对![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5e761af39bc1725915c3c9ee7febee.png)
__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6c044bcf4b87cd1575198ab30c3a037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/545ac68beedab0a5490f97c88437a317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5e761af39bc1725915c3c9ee7febee.png)
您最近一年使用:0次
解题方法
4 . 设点
的坐标分别是
,
是平面内的动点,直线
的斜率之积为
,动点
的轨迹
与曲线
相交于4个点,以这四个交点为顶点的矩形的面积等于
,则轨迹
的离心率等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b247c7428cd4ab78dff8a9dabe30279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03df57efff473b3cfeb8503796b7d6b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.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/7aae50dabc007950125590fe3fb1c98d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46200dd21a996ee2b0766fe2fac9efb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
5 . 已知
为抛物线
上的三个点,且
,当点
与原点О重合时,
,则下列说法中,正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6a68919c5cf3775eb79dfc3fcfc2e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860b76e47ec09b73eee198cc86b33b2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/890c3adc2db9d97a4353a5abaccd6519.png)
A.抛物线方程为![]() |
B.直线AB的倾斜角必为锐角 |
C.若线段AC的中点纵坐标为![]() ![]() |
D.当AB的斜率为2时,B点的纵坐标为![]() |
您最近一年使用:0次
名校
6 . 已知函数
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74dfcce112fb8badf9ba95df6108c763.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() |
D.当![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-03-25更新
|
1412次组卷
|
4卷引用:云南省昆明市第一中学2024届高三第七次高考仿真模拟数学试题
7 . 椭圆
的中心在原点,焦点在
轴上,离心率为
为
的左焦点,
是
的上顶点,
是
的右顶点,
是
的下顶点.记直线
与直线
的交点为
,则
的余弦值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3c7cb86c02a7813b62061fb6dd5eef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/735056c174e8dd7906257a2a50a962a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a72dfbf0138a611174c36ce077e0c47.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
8 . 已知圆,椭圆
,直线
,点
为圆
上任意一点,点
为椭圆
上任意一点,以下的判断正确的是( )
A.直线![]() ![]() |
B.当![]() ![]() ![]() ![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2024-03-20更新
|
567次组卷
|
3卷引用:云南省玉溪市第一中学2023-2024学年高二下学期3月月考数学试题
名校
解题方法
9 . 网购已成为人们习以为常的生活方式,大量的网购增加了人们对快递的需求,快递量几何级增长,快递包装箱的消费量也十分惊人,瓦楞纸板是最主要的快递包装材料,如何使用更少的纸板来包裹更多的物品,这对于环境保护和商家的利益都是非常重要的问题.现某商家需设计一体积为
的纸箱.要求纸箱底面必须为正方形,为了保护易碎的商品,纸箱的底面和顶面必须用双层瓦楞纸板制成.已知瓦楞纸板的市场价格大约为1元/
,则一个纸箱的成本最低约为( )(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/897b11cf5ed451a5855e70145e862b66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba007666deb89951641bd1e24bc174a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3197ade4f2bd8b035f74cbdc47635b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56bf375a9c3f072b666b8e20b94d9ef9.png)
A.0.32元. | B.0.44元 | C.0.56元 | D.0.64元 |
您最近一年使用:0次
解题方法
10 . 设
,
为椭圆
:
的左右顶点,
,
为
的左、右焦点,点
在
上,则( )
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d12ebd10f6c0bcf98be52c32b107f1.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.当椭圆![]() ![]() ![]() |
B.在椭圆![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.若点![]() ![]() ![]() ![]() ![]() ![]() |
D.不存在点![]() ![]() |
您最近一年使用:0次