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1 . 下列说法正确的是( )
A.“![]() ![]() |
B.命题“![]() ![]() |
C.若![]() ![]() |
D.![]() |
您最近一年使用:0次
2023-08-14更新
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635次组卷
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11卷引用:专题01 集合与常用逻辑用语
(已下线)专题01 集合与常用逻辑用语(已下线)专题03 三角函数与解三角形广东省梅州市2023届高三二模数学试题专题01集合与常用逻辑用语专题04指对幂函数与函数零点问题山东省淄博实验中学2023届高三第三次模拟考试数学试题湖南省长沙市明德中学2022-2023学年高二下学期三段考数学试题贵州省黔西南州兴义市第六中学2022-2023学年高二下学期第三次月考数学试题黑龙江省大庆市大庆中学2023-2024学年高二上学期开学考试数学试题(已下线)河南省信阳市信阳高级中学2024届高三上学期测试(四)数学试题河南省郑州市宇华实验学校2024届高三下学期5月月考数学试题
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2 . 已知函数
,对于任意的实数a,b,下列结论一定成立的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d777e8c942db5bdc1ba9ecce71304ec.png)
A.若![]() ![]() | B.若![]() ![]() |
C.若![]() ![]() | D.若![]() ![]() |
您最近一年使用:0次
2023-06-14更新
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329次组卷
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7卷引用:专题09 函数与导数-1
(已下线)专题09 函数与导数-1广东省佛山市2023届高三二模数学试题(已下线)押新高考第12题 导数综合专题05导数及其应用(选择题)广东省广州市真光中学2022-2023学年高二下学期5月阶段质量检测数学试题广东省广州市执信中学2024届高三下学期教学情况检测(三)数学试题山东省青岛市第五十八中学2024届高三上学期期末数学试题
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解题方法
3 . 对于两个函数
与
,若这两个函数值相等时对应的自变量分别为
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ba219e3caddfa2315b5996d6b120a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4182719acde98d80aff66a2364e74573.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1a9ff6a1c05f4d59f94bc4ca4cdbcc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba9b122ac217651468b4dac1ed78376.png)
A.-1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-06-03更新
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1031次组卷
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5卷引用:专题09 函数与导数-1
4 . 已知双曲线
的焦距为
,且双曲线
右支上一动点
到两条渐近线
的距离之积为
.
(1)求双曲线
的标准方程;
(2)设直线
是曲线
在点
处的切线,且
分别交两条渐近线
于
两点,
为坐标原点,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b91d650c2fc1a741fabdb333b09aeb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a977718c336388aa8c4bab86c03c2600.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设直线
![](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/7775aa57ca0e62216f3039ed88dceed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86e203b7c9a6600e0272c58a23733490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4f02028a3847c4807c2d3cf0ea7efb8.png)
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名校
解题方法
5 . 已知函数.
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068ff25c767fcbe6fe596d996031eed1.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2405c4822bceae1cf191edb502d3b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-04-28更新
|
1997次组卷
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6卷引用:专题09 函数与导数-2
(已下线)专题09 函数与导数-2广东省惠州市2023届高三一模数学试题广东省普宁市勤建学校2024届高三上学期第二次调研数学试题(已下线)题型09 8类导数大题综合福建省福州第八中学2023-2024学年高二上学期期末考试数学试卷江西省宜春市宜丰中学2023-2024学年高二上学期1月期末考试数学试题
解题方法
6 . 已知椭圆
过点
和点
,
的上顶点到直线
的距离为2,如图过点
的直线
与
,
轴的交点分别为
,
,且
,点
,
关于原点对称,点
,
关于原点对称,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/30/4660df64-8f1b-489c-9acf-f95e1c3d747f.png?resizew=182)
(1)求
的长度;
(2)求四边形
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004d3c8fff0581f4651ce992ef080de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a20dc43538548ac95367b0a5695fcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29c2f6aec3451b09287048c5cf03290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aca2476474b6888f08aaae5647235ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/a0743f77df5927693e23499c2ff02512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddb28892a9b43cad0830205c4a9b02b5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/30/4660df64-8f1b-489c-9acf-f95e1c3d747f.png?resizew=182)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/084cf5ffced059f5653ee2a1023518b7.png)
(2)求四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
2023-04-28更新
|
1016次组卷
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4卷引用:专题06 解析几何
7 . 如图,
、
为双曲线
的左、右焦点,抛物线
的顶点为坐标原点,焦点为
,设
与
在第一象限的交点为
,且
,
,
为钝角.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/29/9347b819-30c0-46da-85db-61d49e1db9b6.png?resizew=147)
(1)求双曲线
与抛物线
的方程;
(2)过
作不垂直于
轴的直线l,依次交
的右支、
于A、B、C、D四点,设M为AD中点,N为BC中点,试探究
是否为定值.若是,求此定值;若不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6dc791ae552024ea0df7905bf190f30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ace7c9e3da8613175ca07c54c116127a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42a960d9c62f797d46caa7a8a4a134a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21872d8f6a518e0a2993ccf7a795ed2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837822d134751db0cb500690ec544e21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d30990b10a78d6ca0eab5efee2a0e9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa5a13947cff38d6380e19489c282bc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/29/9347b819-30c0-46da-85db-61d49e1db9b6.png?resizew=147)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66b8e3acc9bccf776e45c18f61a60ef1.png)
您最近一年使用:0次
8 . 已知函数
,
,
.
(1)若函数
存在极值点
,且
,其中
,求证:
;
(2)用
表示m,n中的最小值,记函数
,
,若函数
有且仅有三个不同的零点,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f249558424f2c2a3b5217a2c3351240.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1cb3637b81f7ea5eed8c37e4a4dc942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44aca6c00903b9dd306287ba3bb91035.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cbf249f703c94fab0cc599c03d4a3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944ede342597c070831052dc06bca45d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6967f64fdbc9f97a28c263b7f962f0c7.png)
(2)用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1a9b2606803172bf3f1e6667f9b980.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/798879e6209c54d09c48321640dbee6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f34d3168c0270c1079e6e30058de7389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
您最近一年使用:0次
9 . 已知圆台的上下底面的圆周都在半径为2的球面上,圆台的下底面过球心,上底面半径为
,设圆台的体积为V,则下列选项中说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0ed44a43ec0addca39f4ff790b882b.png)
A.当![]() ![]() |
B.V存在最大值 |
C.当r在区间![]() |
D.当r在区间![]() |
您最近一年使用:0次
10 . 给出定义:设
是函数
的导函数,
是函数
的导函数.若方程
有实数解
,则称
为函数
的“拐点”.经研究发现所有的三次函数
都有“拐点”,且该“拐点”也是函数
的图象的对称中心.若函数
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac282e92da3691942a6ba8511de2303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d31f9ce464f2ce3b24833b70595941c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc581690f1d82133bb5fed3d7f365f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75044e0301ef9def5c1a1c8e6f2cba77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4329af0570e78b81e930074029ee60b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a6e6ed0ddcc37d603d23559b01a94a.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-04-27更新
|
2109次组卷
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9卷引用:专题09 函数与导数-1
(已下线)专题09 函数与导数-1广东省汕头市2023届高三二模数学试题(已下线)模块六 专题7易错题目重组卷(广东卷)(已下线)第一章 导数与函数的图像 专题一 函数的特征点——零点、驻点、拐点 微点2 函数的特征点综合训练(已下线)模块四 题型突破篇 小题入门夯实练(3)四川省成都市郫都区2024届高三上学期阶段检测(一)数学(理)试题四川省成都市郫都区2024届高三上学期第一次阶段考试文科数学试题安徽省淮南市兴学教育咨询有限公司2023-2024学年高三上学期月考数学测试题(已下线)重难点突破04 三次函数的图象和性质 (七大题型)