1 . 焦点为
的椭圆
上有一点
,若线段
的中点落在
轴上,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80b861ba40387cb2bcd04945f5a371a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e203545563ef6c33968cd9fab532638e.png)
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2 . 动圆
经过定点
,且与
轴相切,则圆心
的轨迹为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/908c9588178c02002157ad54eb440a56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
A.圆 | B.椭圆 |
C.双曲线 | D.抛物线 |
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解题方法
3 . 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)
您最近一年使用:0次
名校
解题方法
4 . 幂函数
在区间
上单调递增,则实数
的值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a1cd7acf975163924764b08c1239cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-03-06更新
|
175次组卷
|
2卷引用:江西省抚州市2023-2024学年高一上学期学生学业质量监测数学试题卷
解题方法
5 . 已知
,则
的最小值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7e1486683721718ed755b565db107e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
您最近一年使用:0次
解题方法
6 . 已知函数
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bdd8d6883ed35b30443787bc768b876.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6855784817151468771f29c0fc38fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b735d04e727bc230a4904301a2ae124.png)
A.![]() | B.![]() | C.![]() | D.0 |
您最近一年使用:0次
7 . 不等式
的解集是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c1f285a4c25ce972258462b2321d1.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 纳皮尔精确的对数定义来源于一个运动的几何模型:假设有两个沿两平行直线运动的动点C和F,其中点C从线段
的端点A向B运动,点F从射线
的端点D出发向E运动,其中
的长为a,
的长无限大.若
的长度满足在第t秒时
,
的长度满足在第t秒时
,记
,
,则x是关于y的一个对数函数.根据以上定义,当
时,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/27/982e0f29-db42-49dc-b39b-2b71a6ac3c40.png?resizew=167)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9700a4367fbfcd6aa0ffa04ef57ce4c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98abf334034d9b0f63dea108262cf857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d30747569ae3b6b493273f0b190e1932.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ea3b26d207bf9a05934dd0c1e0fa12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eb0728920d67d36959e9b39a7365072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/27/982e0f29-db42-49dc-b39b-2b71a6ac3c40.png?resizew=167)
A.15 | B.18 | C.21 | D.24 |
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9 . 化简求值:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c4d23981d6b3ba50a7700f955c56162.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/928b1adf917c02445cde99073b464590.png)
您最近一年使用:0次
解题方法
10 . 如图,数轴上O为原点,点A对应实数6,现从1,2,3,4,5中随机取出两个数,分别对应数轴上的点B,C(点B对应的实数小于点C对应的实数).
(2)记事件F为:线段OB,BC,CA能围成一个三角形,求事件F发生的概率.
(2)记事件F为:线段OB,BC,CA能围成一个三角形,求事件F发生的概率.
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