名校
1 . 已知点和非零实数
,若两条不同的直线
、
均过点
,且斜率之积为
,则称直线
、
是一组“
共轭线对”,如直线
和
是一组“
共轭线对”,其中
是坐标原点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/2/ecbd428d-8593-4f38-a5fc-e09eea64f7f2.png?resizew=192)
(1)已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c903f3bfb8ecbbf0cd87e20c928f732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383f12cb70ca55eba4ff012771dbfa9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42f05b013e4b7166cbc87c5a83d6a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca0b4afd16b79370532de44989d6c43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d7b816eca15d4b7d060013df53edd53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42af8cdea9c5269c17aebb086afdd136.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/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/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902f97913e1af1e6c793f7edfe6b2114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f6927cc2a930203ac34366383e76ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d7b816eca15d4b7d060013df53edd53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e20268889bf68598593b75d240e4da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42af8cdea9c5269c17aebb086afdd136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe1a6ce0b35896c8a1c687a4376e71f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2297f285164152b74ffa6d48f6b90941.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e833c339626a0a42c889f327041487c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e487233b905e732819fd3d5305413fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
您最近一年使用:0次
2 . 在△ABC中,角A、B、C所对的边为a、b、c.若
,
,
,则角C=____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82986ab38a4ae58593191ccae2a44f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5cac72465efefbbaf4e063836ed7a2.png)
您最近一年使用:0次
2023-07-05更新
|
300次组卷
|
6卷引用:上海市控江中学2018-2019学年高一下学期期末数学试题
上海市控江中学2018-2019学年高一下学期期末数学试题上海市控江中学2022-2023学年高一下学期期末数学试题(已下线)上海市高一下学期期末真题必刷01-期末考点大串讲(沪教版2020必修二)(已下线)考题猜想01三角-期末考点大串讲(沪教版2020必修二)(已下线)上海市高一下学期期末真题必刷02-期末考点大串讲(沪教版2020必修二)安徽省阜阳市2020-2021学年高一上学期期末数学试题
3 . 在正四棱锥
中,若侧面与底面所成二面角的大小为
,则异面直线
与
所成角的大小等于_________________ .(结果用反三角函数值表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
2022-11-09更新
|
376次组卷
|
3卷引用:2003 年普通高等学校招生考试数学(文)试题(上海卷)
真题
4 . 如图,
是圆锥底面中心
到母线的垂线,
绕轴旋转一周所得曲面将圆锥分成体积相等的两部分,则母线与轴的夹角为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/8b859c8d-1e97-4c5b-b1e3-7fbb46b8eb36.png?resizew=110)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/11/8b859c8d-1e97-4c5b-b1e3-7fbb46b8eb36.png?resizew=110)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2022-11-09更新
|
328次组卷
|
3卷引用:2000年普通高等学校招生考试数学(理)试题(新课程卷)
5 . 在
中,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db07c6ce6c8b0e96a3470c6a3491334.png)
___________ .(结果用反三角函数值表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4d5f963c3485870c100b3f09c9346dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db07c6ce6c8b0e96a3470c6a3491334.png)
您最近一年使用:0次
2022-11-09更新
|
306次组卷
|
2卷引用:2003 年普通高等学校招生考试数学(文)试题(上海卷)
真题
解题方法
6 . 在长方体
中,已知
,求异面直线
与
所成角的大小.(结果用反三角函数值表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34c0a0fb27db6953d4ebadf8a1d35c57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e26d9636ad77369535852c6e4493446a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f6f93171329d508d491143b9d71f7b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/18/5de31201-0986-47b6-91c6-d56013d35aa3.jpg?resizew=166)
您最近一年使用:0次
7 . 如图,已知直四棱柱
中,
,底面
是直角梯形,
是直角,
,求异面直线
与
所成角的大小.(结果用反三角函数值表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92535536bd3c2761724fd058427f95a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3818a2c9919d358b4c3713396093822b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db9048f55e26f249d5d59725edbf15cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d8772aa893a9c1d40f714cb25701701.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/20432952-914b-4ea9-893d-ef029ff969cd.png?resizew=169)
您最近一年使用:0次
名校
8 . 某公园计划在矩形空地上建造一个扇形花园如图①所示,矩形
的
边与
边的长分别为48米与40米,扇形的圆心
为
中点,扇形的圆弧端点
,
分别在
与
上,圆弧的中点
在
上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/4/42c484aa-8b21-48d3-823e-7ba4dfeb255a.png?resizew=375)
(1)求扇形花园的面积(精确到1平方米);
(2)若在扇形花园内开辟出一个矩形区域
为花卉展览区.如图②所示,矩形
的四条边与矩形
的对应边平行,点
,
分别在
,
上,点
,
在扇形的弧上.某同学猜想:当矩形
面积最大时,两矩形
与
的形状恰好相同(即长与宽之比相同),试求花卉展览区
面积的最大值,并判断上述猜想是否正确(请说明理由).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/4/42c484aa-8b21-48d3-823e-7ba4dfeb255a.png?resizew=375)
(1)求扇形花园的面积(精确到1平方米);
(2)若在扇形花园内开辟出一个矩形区域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cad4595d5352b2884568a59d8d766a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
您最近一年使用:0次
2020-05-21更新
|
366次组卷
|
3卷引用:2020届上海市黄浦区高三二模(阶段性调研)数学试题
名校
9 . 过双曲线
的左焦点
作倾斜角为
的直线与
轴交于点
,与双曲线的右支位于第四象限的部分交于点
,若
,则 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f18f176b52ed2f77d94fda9686eee36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/de04cd4e710e76691cf35aafbf198dd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
您最近一年使用:0次
名校
10 . “
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e2021f87086225472a1d1e2dc1bcdf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17833fc1d6a8254733bd04744fc61493.png)
A.充分非必要条件 | B.必要非充分条件 |
C.充要条件 | D.既非充分条件又非必要条件 |
您最近一年使用:0次
2019-11-10更新
|
429次组卷
|
5卷引用:上海市七宝中学2018-2019学年高一下学期期中数学试题