名校
1 . 已知函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)讨论
的单调性;
(2)若函数
存在两个极值点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cffcdf3d68edf952d4e06479ad342e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f641b29e50d009bc0e4f4d358e22d795.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-05-29更新
|
1041次组卷
|
2卷引用:山西省晋中市2024届高三下学期5月高考适应训练考试数学试卷
名校
2 . 下列有关回归分析的结论中,正确的有( )
A.在样本数据![]() ![]() ![]() |
B.具有相关关系的两个变量![]() ![]() ![]() ![]() |
C.若散点图中的散点均落在一条斜率非![]() ![]() |
D.在残差图中,残差点分布的水平带状区域越窄,说明模型的拟合精度越高 |
您最近一年使用:0次
2024-05-29更新
|
940次组卷
|
2卷引用:山西省晋中市2024届高三下学期5月高考适应训练考试数学试卷
名校
解题方法
3 . 在平面直角坐标系
中,已知点
为动点,以线段
为直径的圆与
轴相切.
(1)求动点
的轨迹
的方程.
(2)已知点
问:在
上是否存在点
使得
为等边三角形?若不存在,请说明理由;若存在,请说明这样的点
有几组(不必说明点
的坐标).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4090c13b5263074b91bbcb7575c290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438f34bc8b04e8c494b91306ac6fe352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)求动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2482d25df06624a221af629c230b3b25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c14817143cfe235d7b9286ee9729353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab609a6574633ebabcff3e73fa862081.png)
您最近一年使用:0次
2024-05-23更新
|
357次组卷
|
2卷引用:山西省晋中市2024届高三下学期5月高考适应训练考试数学试卷
解题方法
4 . 如图,在六面体
中,
,
,且
,
平行于平面
,
平行于平面
,
.
平面
;
(2)若点
到直线
的距离为
,
为棱
的中点,求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9142a8490de14a87eda628ffa7e28982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93efb8cd8d8b27301c3b15c8493721fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4519397ce1e517777092f9037e73aa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e19e9ca6a8de8831644937765fb23b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fc7991ea17d54ff5f4445ac5699463.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f79d7939c88e9702962e5917cad290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4611ceb2a28f7a7e4d24266d7f99b22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5f0cfc1049f84a04c81bd213afb8d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10fc7991ea17d54ff5f4445ac5699463.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8768996ca9a0f2c5d9a19abbd54df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
您最近一年使用:0次
解题方法
5 . 已知双曲线
的左焦点为
,过点
且斜率为
的直线与
的两条渐近线分别交于点
,且
分别位于第二、三象限,若
,则
的离心率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.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/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3077277c62df410f7f45c5461e871157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
6 . 甲、乙两名同学玩掷骰子积分游戏,规则如下:每人的初始积分均为0分,掷1枚骰子1次为一轮,在每轮游戏中,从甲、乙两人中随机选一人掷骰子,且两人被选中的概率均为
当骰子朝上的点数不小于3时,掷骰子的人积2分,否则此人积1分,未掷骰子的人本轮积0分,然后进行下一轮游戏.已知每轮掷骰子的结果相互独立.
(1)求经过4轮游戏,甲的累计积分为4分的概率
(2)经商议,甲、乙决定修改游戏规则,具体如下:甲、乙轮流掷骰子,谁掷谁积分,第一次由甲掷.当骰子朝上的点数不小于3时,积2分,否则积1分.甲、乙分别在5~25分之间选一个整数分数(含5分和25分),且两人所选的分数不同,当两人累计积分之和首先等于其中一人所选分数时,此人赢得游戏.记两人累计积分之和为
的概率为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b0a32d02920e2f2d742e69fd030b79.png)
(i)证明:
为等比数列.
(ⅱ)甲选哪个分数对自己最有利?请说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18b9055334fbdfc0bb53e2531a34397.png)
(1)求经过4轮游戏,甲的累计积分为4分的概率
(2)经商议,甲、乙决定修改游戏规则,具体如下:甲、乙轮流掷骰子,谁掷谁积分,第一次由甲掷.当骰子朝上的点数不小于3时,积2分,否则积1分.甲、乙分别在5~25分之间选一个整数分数(含5分和25分),且两人所选的分数不同,当两人累计积分之和首先等于其中一人所选分数时,此人赢得游戏.记两人累计积分之和为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b0a32d02920e2f2d742e69fd030b79.png)
(i)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee579da4bea14146e326f0343acba675.png)
(ⅱ)甲选哪个分数对自己最有利?请说明理由
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7 . 下面给出一个“三角形数阵”:
第2行的数由左至右依次为
依次类推,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acca5aa6b2285d897a65c289c1b54ba.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4b9e475158c0c9eef9dd015342221c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5554805dd0f41c398f0805114a203908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acca5aa6b2285d897a65c289c1b54ba.png)
您最近一年使用:0次
解题方法
8 . 已知椭圆
的左、右焦点分别为
,
上一点
满足
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8c827ec5ea152abcf11171591e175a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/851a5d6ec23256f9b4a9e98aa92945fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2593b8970f097e93edc25ccfdb65f38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8c827ec5ea152abcf11171591e175a.png)
您最近一年使用:0次
9 . 在正四棱台
中,
则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0af3c93c9b716b40f16a222ac50f797.png)
A.若正四棱台内部存在一个与棱台各面均相切的球,则该棱台的侧棱长为![]() |
B.若正四棱台的各顶点均在一个半径为![]() ![]() |
C.若侧棱长为![]() ![]() ![]() ![]() ![]() |
D.若侧棱长为![]() ![]() ![]() ![]() |
您最近一年使用:0次
10 . 已知函数
的定义域为
,满足
,且
,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac829d3069cf983b89b67c73544c8baf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c8e3ef7a9e7091d5bab137b161aab7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abbe14806256317add612f6ecb5bb901.png)
A.![]() | B.![]() |
C.若![]() ![]() | D.![]() ![]() |
您最近一年使用:0次