名校
解题方法
1 . 已知
,则“
”是“
的二项展开式中常数项为60”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b21b5ff38ccc10de61292b31cfa6361c.png)
A.充要条件 | B.充分不必要条件 |
C.必要不充分条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2024-04-08更新
|
707次组卷
|
2卷引用:海南省部分学校2023-2024学年高三下学期高考全真模拟卷(六)数学试题
名校
解题方法
2 . 海南省旅游和文化广电体育厅携手故宫博物院,于2024年1月31日至4月30日在海南省博物馆联合举办“千古风流不老东坡——苏赋主题文物展”,332件文物展品穿越千年在琼展出,诠释中华优秀传统文化的底蕴与内涵.因此博物馆需要从5名男生和3名女生中选取4名志愿者,则选出的志愿者中至少有2名女生的概率是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
3 . 已知定义域为
的函数
对任意实数
都有
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dba454c99a17fec876c3b23130605be3.png)
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10eef78ca13b8b776bd6446f51e7f61c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dba454c99a17fec876c3b23130605be3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90bae886c8ab958aa4c693bf8e0627d.png)
A.![]() |
B.![]() |
C.函数![]() ![]() |
D.![]() |
您最近一年使用:0次
4 . 如图,在四棱柱
中,四边形
为菱形,四边形
为矩形,
,
,
,二面角
的大小为
,
分别为BC,
的中点.
(1)求证:
;
(2)求直线
与平面BCN所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ffc2817fa590affb5a760a25dc65308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/131c735c1736250c608af9f0d2d185fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9977da109ae8644f94b286ccded8cc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66fb71b75b63594ebeeeebd1963eed5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/c1a3264e-317e-4b6e-89d0-be06cab5285c.png?resizew=193)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598dc6b5a7737df67f6df097da7866b0.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
您最近一年使用:0次
5 . 已知双曲线
的一条渐近线方程为
,右焦点为
.
(1)求C的标准方程;
(2)过点F且相互垂直的两条直线
和
分别与C交于点A,B和点P,Q,记
的中点分别为M,N,求证:直线
过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2bdeeb6f5e38e3464c357d00839a6ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90ce47fde921058026708a4321a0e213.png)
(1)求C的标准方程;
(2)过点F且相互垂直的两条直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13dea1bd3d0dd84b8b6f6ff634c5600c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b487a48fb03928254b978f9245418515.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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6 . 已知函数
的部分图象如图所示,下列说法正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/4dbd8e1c-5ebd-4f11-bad8-9ace38e900eb.png?resizew=142)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8cb324640edd28330fdafb02d8e3255.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/14/4dbd8e1c-5ebd-4f11-bad8-9ace38e900eb.png?resizew=142)
A.![]() |
B.直线![]() ![]() |
C.当![]() ![]() ![]() |
D.若方程![]() ![]() ![]() ![]() |
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解题方法
7 . 等差数列
的前
项和为
,已知
,则
的前100项中,
为整数的各项之和为( )
![](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/7d74645961fc55170556150480f59b70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
A.1089 | B.1099 | C.1156 | D.1166 |
您最近一年使用:0次
解题方法
8 . 设
分别为椭圆
的左、右焦点,O为坐标原点,点P在C上,若
,则
的内切圆的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4402aeb853b22f20992156957ef0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed7fb7409d08c03dcd751cf17a4006f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
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9 . 已知
的内角A,B,C所对的边分别为a,b,c,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2107faff7d95282a1483ed9495745fbe.png)
(1)求B;
(2)若点D在AC上,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2107faff7d95282a1483ed9495745fbe.png)
(1)求B;
(2)若点D在AC上,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417a1d5c9063a6eb4a3e6391ee44e771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f787941cb1abfe9bb757276b765c0b.png)
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10 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783abee4269b707dfc76dbafe6e5339c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63da352a23dc6c1b561b1b6506319699.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/783abee4269b707dfc76dbafe6e5339c.png)
您最近一年使用:0次
2024-03-12更新
|
428次组卷
|
2卷引用:海南省海口市海南中学2023-2024学年高一下学期寒假作业验收(开学考试)数学试题