名校
解题方法
1 . 如图,在六面体
中,四边形
是边长为2的正方形,四边形
是边长为1的正方形,
平面
,
平面
,
.
与
共面,
与
共面;
(2)求证:平面
平面
;
(3)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddbb0422a136f45653c8c369f2d75fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ddbb0422a136f45653c8c369f2d75fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a8a0914a91a95faf8d82f175367f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cfbc0b5a8fbde804bd8425a4b76d207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df00cdf77ed39ca5a0b305861a693142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e96946eaa2878fb8433eb2a97797a32b.png)
(3)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cbb74984939d59964559c3560ef7ba.png)
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名校
解题方法
2 . 设
,
均为单位向量,则“
与
的夹角为
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a12a9e0dc30d7810af2adee450044e38.png)
A.充分而不必要条件 | B.必要而不充分条件 |
C.充分必要条件 | D.既不充分也不必要条件 |
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2024高三·全国·专题练习
3 . “
为整数”是“
为整数”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ac7fa45d1a150d095f7ae45aab0696.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
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2024-03-16更新
|
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3卷引用:新疆乌鲁木齐市科信中学2023-2024学年高一下学期3月月考数学试卷
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4 . 命题
的否定为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ac246529da95308a95e65d23f00dd5.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-03-15更新
|
949次组卷
|
4卷引用:新疆乌鲁木齐市科信中学2023-2024学年高一下学期3月月考数学试卷
新疆乌鲁木齐市科信中学2023-2024学年高一下学期3月月考数学试卷重庆市巴蜀中学校2024届高三3月高考适应性月考(七)数学试卷重庆市渝西中学2023-2024学年高二下学期6月月考数学试题(已下线)第02讲 常用逻辑用语(五大题型)(练习)
5 . 经过抛物线
的焦点
的直线交抛物线于
两点,设
,
,则下列结论中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
A.![]() |
B.![]() |
C.以焦半径![]() ![]() |
D.![]() |
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2024-01-12更新
|
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5卷引用:新疆维吾尔自治区乌鲁木齐市第101中学2023-2024学年高三下学期4月月考数学试题
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6 . 如图,在正方形
中,点
为
上动点,点
为
上动点,满足
,将
、
分别沿
、
折起,使
、
两点重合于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/9700c52b-1c2c-4787-8826-871aee194fe4.png?resizew=315)
(1)证明:
;
(2)若
,求二面角
的平面角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d38d97f03faed3152db2fd3bd1919944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2689f0ce5ab3467d8214794d8acb2bd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff00441c41fc516c37876d266fcbc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/9700c52b-1c2c-4787-8826-871aee194fe4.png?resizew=315)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfa8355d95bb4c8d7c004eab4c7ce784.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cca2d187a304eab931eedc2139c23ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29f8c417f5c19cc076dc6baeb0c173a9.png)
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7 . 以椭圆
的焦点为顶点,以椭圆的顶点为焦点的双曲线的方程是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
8 . 已知α、β是空间中两个不重合的平面,m、n是空间中两条不同的直线,则下列命题中正确的是( )
A.若![]() ![]() ![]() | B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() | D.若![]() ![]() ![]() ![]() |
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2023-12-25更新
|
708次组卷
|
3卷引用:新疆乌鲁木齐市兵团二中2024届高三上学期第四次月考数学试题
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解题方法
9 . 已知椭圆
的右焦点为
,直线
与椭圆有且仅有一个交点.
(1)求椭圆的标准方程;
(2)直线
交椭圆于
、
两点,若
,试求直线
在
轴上的截距的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb8067952b5799af171ae1a000b3ee2.png)
(1)求椭圆的标准方程;
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.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/6ad4f73a1f248acfe2ad194fb6aa17f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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10 . 八角星纹是大汶口文化中期彩陶纹样中具有鲜明特色的花纹.八角星纹常绘于彩陶盆和豆的上腹,先于器外的上腹施一圈红色底衬,然后在上面绘并列的八角星形的单独纹样.八角星纹以白彩的成,黑线勾边,中为方形或圆形,且有向四面八方扩张的感觉.八角星纹延续的时间较长,传播范围亦广,在长江以南的时间稍晚的崧泽文化的陶豆座上也屡见刻有八角大汶口文化八角星纹.图2是图1抽象出来的图形,在图2中,圆中各个三角形(如△ACD)为等腰直角三角形,点O为圆心,中间部分是正方形且边长为2,定点A,B所在位置如图所示,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6b4aab76cdee2d3c3b4e4b05f6bc588.png)
A.14 | B.12 | C.10 | D.8 |
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