解题方法
1 . 已知双曲线
的左顶点是
,右焦点是
,点
是双曲线
右支上异于顶点的动点,
的平分线与直线
交于点
,过
作
轴,垂足是
,若
恒成立,则双曲线
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/36ec7243073566a0ab60a58271970f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fccc2950fd8f0927e6c12d0d3bb1cbbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4059a5d7b42fa0c808105d0879c90452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2 . 根据分类变量Ⅰ与Ⅱ的统计数据,计算得到
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5fd99e90c2b495127f23f715c35ea90.png)
0.1 | 0.05 | 0.01 | 0.005 | 0.001 | |
2.706 | 3.841 | 6.635 | 7.879 | 10.828 |
A.变量Ⅰ与Ⅱ相关 |
B.变量Ⅰ与Ⅱ相关,这个结论犯错误的概率不超过0.1 |
C.变量Ⅰ与Ⅱ不相关 |
D.变量Ⅰ与Ⅱ不相关,这个结论犯错误的概率不超过0.1 |
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3 . 国家二级文化保护遗址玉皇阁的台基可近似看作上、下底面边长分别为
,
,侧棱长为
的正四棱台,则该台基的体积约为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f71a41641aa0d0e45a3c03d3d2c1196b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7854968bbf6576a1fd9926ee0d4d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36b51b654efcff60d2d640b9b4c4471.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7日内更新
|
428次组卷
|
2卷引用:江苏省南通市如皋中学2024届高三下学期高考适应性考试(三)(3.5模)数学试题
名校
解题方法
4 . 在梯形
中,
,且
,点
是
的中点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12143a06ed24558d8cc7ad39961d3e1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98ce0da153621bbd05519f168b527e3e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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5 . 如图,已知斜三棱柱
的侧面
是菱形,
,
.
;
(2)求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c853c91c054b7e1cd0de891aeedc8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae571b7fbebf3f266bb955dac2c572e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd06851d747f8ccf046bc807b2523e65.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d3f9e8e58175cc46453515621e69193.png)
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6 . 如图是一块高尔顿板的示意图,在一块木板上钉着若干排相互平行但相互错开的圆柱形小木钉,小木钉之间留有适当的空隙作为通道,前面挡有一块玻璃.将小球从顶端放入,小球下落的过程中,每次碰到小木钉后都等可能地向左或向右落下,最后落入底部的格子中.记格子从左到右的编号分别为
,用
表示小球最后落入格子的号码,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d3b4d1f155a1dc8318e5a24f46b0845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d508c53381b56750024e1786a1c323a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e862c8a8dfca5ab54e54f0d8ba3cd4.png)
A.4 | B.5 | C.6 | D.7 |
您最近一年使用:0次
名校
7 . 命题“
”的否定是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0bba49ce50c6d97f1233eed8c28c4ec.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
7日内更新
|
271次组卷
|
3卷引用:江苏省泰州市2024届高三下学期四模数学试题
名校
解题方法
8 . 已知单位向量
,
满足
,则
与
的夹角等于( )
![](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/c85a023e00d6ecb15a68c58754afaf76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 已知
,函数
是奇函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1665a809bdb5f341018d2bf585cedc82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
您最近一年使用:0次
名校
解题方法
10 . 已知
,
,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061813f1ec633c5c4c393c4de7938322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adf913c92060a7bad4de1ee8c04d011e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce0b9230a646fea3bd98670e538a50c.png)
A.4 | B.![]() | C.6 | D.![]() |
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