名校
1 . 已知函数
,且
.
(1)求
的值;
(2)求函数
的图象在点
处的切线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3063f448a66980bfdca4940a56f47ef0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/927dd1b40e0e21ecf1fa820bad28c3bc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
您最近一年使用:0次
2023-12-29更新
|
1968次组卷
|
9卷引用:陕西省榆林市府谷县府谷中学2023-2024学年高二上学期开学考试数学试题
陕西省榆林市府谷县府谷中学2023-2024学年高二上学期开学考试数学试题河北省沧州市部分学校2023-2024学年高二上学期12月月考数学试题(已下线)专题02 导数的运算(十大考点)-【寒假自学课】2024年高二数学寒假提升学与练(人教A版2019)(已下线)2.4导数的四则运算法则(分层练习)-2023-2024学年高二数学同步精品课堂(北师大版2019选择性必修第二册)(已下线)2.4 导数的四则运算法则3种常见考法归类-【帮课堂】2023-2024学年高二数学同步学与练(北师大版2019选择性必修第二册)甘肃省金昌市永昌县第一高级中学2023-2024学年高二下学期第一次月考数学试题甘肃省临夏州积石山保安族东乡族撒拉族自治县民族中学2023-2024学年高二下学期同步月考测试(一)数学试卷黑龙江省九校联盟(齐齐哈尔五校+黑河四校 )2023-2024学年高二下学期4月期中联合考试数学试题黑龙江省伊春市铁力市第一中学校2023-2024学年高二下学期期中考试数学试卷
名校
解题方法
2 . 已知圆
过点
和
,且与直线
相切.
(1)求圆
的方程;
(2)设
为圆
上的任意一点,定点
,当点
在圆
上运动时,求线段
中点
的轨迹方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115a0c87ac14dbb770c95d74d6e26073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33b8c32b7db467349d65316dc7667411.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ccbfa4df4190907430bf37828edf34.png)
(1)求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a9e89eface73aa82fcad8e34745060e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
2023-12-28更新
|
664次组卷
|
3卷引用:陕西省西安市长安区第一中学2023-2024学年高二上学期期中考试数学试题
解题方法
3 . 如图,在直四棱柱
中,
是棱
的中点,
. 请用向量法解决下列问题.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/72616247-edb6-4303-b5b1-0190545fc46c.png?resizew=161)
(1)求证:
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/886d2e7a039a3a3ffeb4026bbac96c65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c20bde01f83d1d521b4ccdb67c64356c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3d9d62804daa6e74daaf8373d3f2e76.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/28/72616247-edb6-4303-b5b1-0190545fc46c.png?resizew=161)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9cb6ea3b0d5150fd2ae8165514a33ff9.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a211ad5a06b505b8365a62c1946f3cb7.png)
您最近一年使用:0次
解题方法
4 . 已知各项都为正数的数列
的前
项和为
, 且满足
.
(1)求数列
的通项公式;
(2)若
,求数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f511439b2d370105f898801e275189.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50fa4fa7f5b494c3d56758849bd79790.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ee9273cc82d57d99a21fb9c4953d46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
您最近一年使用:0次
名校
5 . 已知直线
与直线
交于点
.
(1)求过点
且平行于直线
的直线
的方程;
(2)求过点
且垂直于直线
的直线
的方程;
(3)求过点
并且在
轴上的截距是在
轴上截距2倍的直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2297db3c14c256b9691fbb8e5bba978.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b535b292f5156cfb75a4b4953083b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(1)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad0f2ef0a60be68075ef22fc4159291c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(2)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18feaed4f3dd7698210ba302c81dca6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(3)求过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
您最近一年使用:0次
2023-12-27更新
|
333次组卷
|
2卷引用:陕西省汉中市西乡县第一中学2023-2024学年高二上学期第二次(12月)月考数学试题
解题方法
6 . 求双曲线
的实轴和虚轴长,焦点和顶点坐标,离心率和渐近线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee21768e63a701890f0b105797214a3.png)
您最近一年使用:0次
7 . 设
是椭圆
的下顶点,点
在
上,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ba9e251e83e1e25071e0fec61a775a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34aba89685882b085d27c8dba8a99061.png)
您最近一年使用:0次
名校
解题方法
8 . 如图,直四棱柱
的高为3,底面是边长为4且
的菱形,
,
,
是
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/4e819e1c-2bea-4312-a2ed-2e08879897a7.png?resizew=175)
(1)求二面角
的大小;
(2)求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4f5eec0addba78f2e0cdfb7ecc59a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a23f01af749100e1888bba06268843db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f9a4a5e10517fe006882ceb00f9f9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d817b898a4106c0fc24edee630a9eed9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/3/4e819e1c-2bea-4312-a2ed-2e08879897a7.png?resizew=175)
(1)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41cd197904de24044e1e7bd8960fffcc.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c643d1581b072f4b61a2211828eb0569.png)
您最近一年使用:0次
解题方法
9 . 已知点
,直线
.
(1)求经过点
且与直线
平行的直线方程;
(2)求经过点
且与直线
垂直的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2f21b1baf0624482fd41d7ba390341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27387a9cd3d7bc5dbbaab24646fdef14.png)
(1)求经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)求经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
您最近一年使用:0次
2023-12-26更新
|
228次组卷
|
3卷引用:陕西省宝鸡联盟2023-2024学年高二上学期阶段性检测(二)数学试题
名校
解题方法
10 . 已知双曲线,O为坐标原点,离心率
,点
在双曲线上.
(1)求双曲线的方程;
(2)如图,若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ffe69ab39492e018a51e21b52dd0fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f03aacf950eaa00e6ff7eb5f6e23de07.png)
您最近一年使用:0次
2023-12-25更新
|
676次组卷
|
2卷引用:陕西省西安市西安中学2023-2024学年高二上学期第二次综合评价数学试题