名校
1 . 将边长为4的正方形
沿对角线
折起,使点
不在平面
内,则下列命题是真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
A.不论二面角![]() ![]() |
B.当二面角![]() ![]() ![]() |
C.当二面角![]() ![]() ![]() |
D.不论二面角![]() ![]() ![]() |
您最近一年使用:0次
解题方法
2 . 在平面直角坐标系
中,已知曲线
的方程为
,右顶点为
,倾斜角为
的直线
过点
,且与曲线
相交于
两点.
(1)当
时,求三角形
的面积;
(2)在
轴上是否存在定点
,使直线
与曲线
的左支有两个交点
的情况下,总有
?如果存在,求出定点
;如果不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dad0c75ce33673ec4c425896e8619e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ef1ff0b6addca3494d762c7602c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ac762a2899a58faa0d3ab44f1281fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c09afc70f448545336304333d5b5658b.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e57610afd116ab84660c807cc1aa3819.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
解题方法
3 . 已知
,若
,均有不等式
恒成立,则实数
的取值范围为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bdf8772caa266bda0087cd3c3172bca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/136a003907c455bfd58875c96c138772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe181d0702abc25b3ce7d2259189ff41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2024-04-16更新
|
660次组卷
|
3卷引用:贵州省黔西南州部分学校2023-2024学年高三下学期第一次模拟考试数学试卷
4 . 布劳威尔不动点定理是拓扑学里一个非常重要的不动点定理,它可运用到有限维空间并构成了一般不动点定理的基石,得名于荷兰数学家鲁伊兹·布劳威尔(L.E.J.Brouwer).简单地讲就是:对于满足一定条件的连续函数
,存在实数
,使得
,我们就称该函数为“不动点”函数,实数
为该函数的不动点.
(1)求函数
的不动点;
(2)若函数
有两个不动点
,且
,若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d468b616235df122370cf58f03bb678f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/249ae140f4c699e463b914aa0a25a260.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/493db98b5e52328db4dd952e589b3cb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0cfc6ebbd5ab3be6a65a553e9da0f85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
2024-04-16更新
|
389次组卷
|
2卷引用:贵州省黔西南州部分学校2023-2024学年高三下学期第一次模拟考试数学试卷
名校
5 . 已知函数
,
.
(1)求
的单调区间;
(2)若对于正实数
,满足
.
(i)证明:
;
(ii)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b546b79bbb216b5877b5ca420a63b2ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ce279ad04e84fae6363073bb2ec766.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对于正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10b67402a5a517f66623a7ba0bbf24d3.png)
(i)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04489e1d5bb9bca27f55fba621d041dc.png)
(ii)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b8e02224eba78c0cc9807ad28c06a0.png)
您最近一年使用:0次
6 . 已知双曲线
(
,
)的左、右焦点分别为
,
,直线
与
的左、右两支分别交于
,
两点,四边形
为矩形,且面积为
.
(1)求四边形
的外接圆方程;
(2)设
,
为
的左、右顶点,直线
过点
与
交于
,
两点(异于
,
),直线
与
交于点
,证明:点
在定直线上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.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/c9355031ea0b2dc9cef3777621bc6d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a7c9933a5dfe356def3331e2e3c866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8da45c443af7994a26ffa9d8894e7262.png)
(1)求四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a7c9933a5dfe356def3331e2e3c866.png)
(2)设
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/079dd115a4b8cbc93918a853363786dc.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/acc290b44635265137fdf13146b6a6d9.png)
![](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/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
您最近一年使用:0次
2024-04-16更新
|
470次组卷
|
2卷引用:贵州省遵义市第四中学2024届高三下学期一模数学试题
7 . 第24届北京冬奥会开幕式由一朵朵六角雪花贯穿全场,为不少人留下深刻印象.六角雪花曲线是由正三角形的三边生成的三条1级Koch曲线组成,再将六角雪花曲线每一边生成一条1级Koch曲线得到2级十八角雪花曲线(如图3)……依次得到n级
角雪花曲线.若正三角形边长为1,我们称∧为一个开三角(夹角为
),则n级
角雪花曲线的开三角个数为__________ ,n级
角雪花曲线的内角和为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/446a5809055d7efef04d6bc01292478c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae6358af7332d7609bf8d18467487d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aae6358af7332d7609bf8d18467487d3.png)
您最近一年使用:0次
解题方法
8 . 在
中,
,
,设
,其中
,当
时,点Q在某线段上运动,则该线段的长度为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24ebf4df515b28c6525dd34476731186.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6300806373573f97546cbf75b031e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78d74b2056b61b4e59b9d12a9263e9de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fc5c0f91783c8615bb3c8686a51b093.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5a8a24cc4bbdaea293644d1249a268b.png)
您最近一年使用:0次
名校
9 . 已知
,函数
有两个极值点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745517e274454ede1c2169e1b3cd263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
A.![]() |
B.![]() ![]() ![]() ![]() |
C.![]() |
D.![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-04-10更新
|
535次组卷
|
2卷引用:贵州省毕节市织金县部分学校2024届高三下学期一模考试数学试题(一)
10 . 已知函数
.
(1)求证:
;
(2)若函数
在
上有两个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27b1d897bf1170f96cac0c36823a512a.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b797b8ac4962842258d6461ad535724.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9544e88003099d2d586e2f70b5c5ce32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次