解题方法
1 . 同时拋郑两个质地均匀的四面分别标有
的正四面体一次,记事件
第一个四面体向下的一面出现偶数
;事件
第二个四面体向下的一面出现奇数
;事件
两个四面体向下的一面或同时出现奇数,或者同时出现偶数
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14db37344529d273e36d835241d0d39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d3d1b006b2efda9c789a7a22c9b8b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8e8fbba13c61377df60719099971db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cbfc0f7f6006d73ffc559cbf2b4bfe6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ca8bdc812627d925f00ed7c145d696.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
2 . 某市为了改善城市中心环境,计划将市区某工厂向城市外围迁移,需要拆除工厂内一个高塔,施工单位在某平台
的北偏东
方向
处设立观测点
,在平台
的正西方向
处设立观测点
,已知经过
三点的圆为圆
,规定圆
及其内部区域为安全预警区.以
为坐标原点,
的正东方向为
轴正方向,建立如图所示的平面直角坐标系.经观测发现,在平台
的正南方向
的
处,有一辆小汽车沿北偏西
方向行驶,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/8/cb80994e-f8af-4449-a24d-75def3cda441.png?resizew=162)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c86636a2be827e96ef13a7e9611dc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e5a9f3e8d5195407764713fb5ff259.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06f5e21d225bf3c159ddf3876fbb8fb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f256afee1098dac22f423b19b43c89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a97bb4dcfab4ec7539bc783d563c49.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/8/cb80994e-f8af-4449-a24d-75def3cda441.png?resizew=162)
A.观测点![]() ![]() |
B.圆C的方程为![]() |
C.小汽车行驶路线所在直线的方程为![]() |
D.小汽车不会进入安全预警区 |
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解题方法
3 . 已知定义域为
的奇函数
满足
,且
在
上单调递减,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c17fde635ef87d0e5ef3206f7e8f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d12f3cf751822522ba5f88077c1a2e1.png)
A.函数![]() ![]() |
B.![]() |
C.![]() |
D.设![]() ![]() ![]() ![]() |
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4 . 在用“二分法”求函数
零点的近似值时,若第一次所取区间为
,则第二次所取区间可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26c416363ab2a9ed000b429540db55e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知椭圆C:
过点
,直线
与椭圆
交于
两点,且线段
的中点为
为坐标原点,直线
的斜率为
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a1baa2dbbdb3bca1776d10b288cd3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73533688e2820dacba2199ba6087bd4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/876f208635a511c8dc89da1dad21c868.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
A.![]() ![]() |
B.![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() |
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解题方法
6 . 在表面积为
的球O的球面上存在A,B,C三点,且
,
,E为线段OC的中点,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a39dce3f1e36dbe01293c309816968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/306b21a5d7e68f1992e5797b4368ed56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/397d16b4a33ef2ef92cf7adb5674ec60.png)
A.![]() |
B.异面直线![]() ![]() ![]() |
C.若点O到平面![]() ![]() ![]() ![]() ![]() |
D.若点O到平面![]() ![]() ![]() ![]() |
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7 . 已知函数
,若函数
恰有5个零点,则m的值可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bac20a94c8a1405a724f8bdfd2692567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fcc8e730489b69b5084eaaa50d27b8c.png)
A.0 | B.1 | C.![]() | D.2 |
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解题方法
8 . 下列说法正确的是( )
A.命题“![]() ![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.设![]() ![]() ![]() ![]() ![]() |
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解题方法
9 . 如图所示,现有一个直角三角形材料,
,想要截得矩形CDEF,点E在边AB上,记矩形CDEF的面积为S,
的面积为T.已知
,设
,
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/71d8244e-cb49-4275-b100-7cef1c8dc54e.png?resizew=118)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed8f7d3d7043d4b1eb98fc5c4e2fcd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cced8982712dd0ed53b56af71f4bf31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b483174c3f73ae0112a49f2f2e2b3e4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50349b20b5e209c4afbba96aa76b5e75.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/8/71d8244e-cb49-4275-b100-7cef1c8dc54e.png?resizew=118)
A.![]() | B.![]() |
C.当S取最大值时,![]() | D.当S取最大值时,![]() |
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10 . 直线
过抛物线
的焦点,且与
交于M,N两点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6f15a5110db9df993974181ebd441f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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