解题方法
1 . (1)若
,求
的值;
(2)在
的展开式中,求二项式系数最大的项
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8307d4b94e81794d6fb6ab6cc9823275.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3eead98a7980470f3345ccaa8384b9b.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd3febe04aaf0df698479630516d9327.png)
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解题方法
2 . 在直三棱柱
中,四边形
是边长为3的正方形,
,
,点
分别是棱
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/cd310c53-ba9e-4d45-8b70-1aecc6b5f8ed.png?resizew=151)
(1)求
的值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac61c24f99a4e466f1e2ea011893866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/269c684310d0f7b5b9bf0a291e7ee748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4dfea6353fc25e88535e865a4982cb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/cd310c53-ba9e-4d45-8b70-1aecc6b5f8ed.png?resizew=151)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfb6876bfebf8175326c61d394cdbb2.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4999d4fbcbe15f78c29d518f25d317c2.png)
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名校
解题方法
3 . (1)直线
与直线
平行,求
的值;
(2)直线
与直线
垂直,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f997553ed7c4a80a7de20d3d1b154ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3803c06192428c33c5eefe0e8db62b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/615cc10be68f43265fcbcbfd00161494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457d4ac7881bcc2fcac9c5467f8f06e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 已知A,B,C,P为空间内不共线的四点,G为
的重心.
(1)证明:
;
(2)若向量
,
,
的模长均为2,且两两夹角为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb74becf9bdf4d13e122ac50180e1f57.png)
(2)若向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454a02d14e3371707f979ea0cd7b9412.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2638bcdc57e4e56a9b61430c9edfbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b683529d8299e73e36ef06d0b1463d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7dcb895ec70ebe01260e881414b4e1.png)
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5 . 已知直线l和圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6af86fad48a0dce7de33e2565ee47da.png)
(1)若直线l过点
,且在两坐标轴上的截距互为相反数,求直线l的方程;
(2)过点
引直线与圆C相切,切点为N,求线段MN的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6af86fad48a0dce7de33e2565ee47da.png)
(1)若直线l过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5de78b493bc2cc9696c584325c22ee7.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdb8f8f39e1d3eea420b0de792d20f38.png)
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6 . 如图,在三棱柱
中,
是正三角形,四边形
是菱形,
与
交于点
,
平面
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/16/733113fd-e5ae-44d9-9a34-ae3b0ba80a4b.png?resizew=148)
(1)若点
为
中点,求异面直线
与
所成角的余弦值;
(2)求平面
与平面
的夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e58914f1ccdc19e762c4b86d3dd906f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aef9d75f2e00d1b1ca78cb55ccb3d0e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/16/733113fd-e5ae-44d9-9a34-ae3b0ba80a4b.png?resizew=148)
(1)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2eb89294b31ffdd2680b4361e8994d7.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a52848aff08399a36f217356007a4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e168672b47d7e64dc1b404f8882c7dcf.png)
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7 . 已知双曲线
经过点
,且
的一条渐近线的方程为
.
(1)求
的标准方程;
(2)若点
是
的左顶点,
是
上与顶点不重合的动点,从下面两个条件中选一个,求直线
与
的斜率之积.
①
关于原点对称;②
关于
轴对称.
注:若选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1362c0809439106817fa2572994bb8c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](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/fcc5dd4d07e2098d8d1b731f2622867f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8ffe24cf9f327aeb241225ab15ab1a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
注:若选择多个条件分别解答,按第一个解答计分.
您最近一年使用:0次
2024-02-14更新
|
284次组卷
|
2卷引用:江西省上进联盟2023-2024学年高二上学期1月期末联考数学试题
解题方法
8 . 已知点
,
,直线
与直线
垂直.
(1)求
的值;
(2)若圆
经过点
,且圆心
在
轴上,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e10de2c38bc918ae9e1ce62a5c70099.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15d9ec15faa08181227d9ef0ed78905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b223e007ce860f22b53122af996b8a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2024-02-14更新
|
210次组卷
|
2卷引用:江西省上进联盟2023-2024学年高二上学期1月期末联考数学试题
解题方法
9 . 某教育部门为了了解某地区高中学生每周的课外乒乓球训练的情况,随机抽取了该地区
名学生进行调查,其中男生
人.将每周课外训练时间不低于
小时的学生称为“训练迷”,低于
小时的学生称为“非训练迷”.己知“训练迷”中有
名男生和
名女生.
(1)根据数据完成上面的
列联表;
(2)判断是否有
的把握认为“训练迷”与性别有关.
附:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3821f70c08c5180e9b3086d3c9610f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3304e23f3b0f9569c4140ca89b6498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b184c94e38f1e5dbe750b2168c2a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
非训练迷 | 训练迷 | 合计 | |
男 | |||
女 | |||
合计 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b72fcdc709e77910cd36a26369648b3.png)
(2)判断是否有
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f3effd82c4566d202d46f338be20dc.png)
附:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e3821f70c08c5180e9b3086d3c9610f.png)
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10 .
的展开式中,二项式系数之和为a,各项系数之和为b,且
.
(1)求n的值;
(2)求
的展开式中的常数项.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b12af9f76f37024f3756e644de0315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d9cc158c0dfed3bb3ccefd268a8d736.png)
(1)求n的值;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b12af9f76f37024f3756e644de0315.png)
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