1 . 已知
,若函数
在区间
上有且只有
个零点,则
的范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a3fcb8fa8396bd0444f7b5d3ecc2ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e883caac1fed3e4cdf82f32add6077d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-05-22更新
|
389次组卷
|
2卷引用:新疆维吾尔自治区阿勒泰地区2023届高三三模数学(文)试题
解题方法
2 . 正方体
中,
分别是棱
的中点,则平面
与平面
所成角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b199a99e53d67ff4abf233930961a29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d92178a5c6a76586292f622da298a8db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9a8181f7a7fe7f3fac872ce9534f15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe8a84ca3a13f82aff1a022edc66065.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-05-22更新
|
469次组卷
|
2卷引用:新疆维吾尔自治区阿勒泰地区2023届高三三模数学(文)试题
解题方法
3 . 函数
的极值点是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb174514eddfa521364eb0d6ffb8738d.png)
A.0 | B.1 | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
4 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/672ce6c88493dd0475b4e7ffe7dddd8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f73afdd94b69aaddb2d319b259b3324a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-05-22更新
|
323次组卷
|
2卷引用:新疆维吾尔自治区阿勒泰地区2023届高三三模数学(文)试题
解题方法
5 . 有一个圆锥形铅锤,其底面直径为
,母线长为
.P是铅锤底面圆周上一点,则关于下列命题:①铅锤的侧面积为
;②一只蚂蚁从P点出发沿铅锤侧面爬行一周、最终又回到P点的最短路径的长度为
.其中正确的判断是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/22/0377a6a9-7db4-45c3-849f-954a7079b7d8.png?resizew=90)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c78d0ab561d0c9bb9099772c596af8bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976260cbf5e30856d4fd37a4b0a671a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eacd5be04f6142589c5490cc5483c5cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6533a2207c18662d05c4a5996042789e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/22/0377a6a9-7db4-45c3-849f-954a7079b7d8.png?resizew=90)
A.①②都正确 | B.①正确、②错误 |
C.①错误、②正确 | D.①②都错误 |
您最近一年使用:0次
2023-05-22更新
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362次组卷
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2卷引用:新疆维吾尔自治区阿勒泰地区2023届高三三模数学(文)试题
6 . 若数列
的首项为1,且
.
(1)求证:
是等比数列;
(2)若
,求证:数列
的前
项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8290abdcfc02e484e7ff22e6d8359c6a.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c033d0d59a0767eea50d0afa4737e4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f760357190df9a18f36762af76fa84a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5300f549772f4e918a0baaa410cfa456.png)
您最近一年使用:0次
7 . 已知函数
,其中
为非零常数.
(1)讨论
的极值点个数,并说明理由;
(2)若
,证明:
在区间
内有且仅有1个零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829802d34f39b2f1aefbd110c2039bd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c919f9f7700d0a53eb9a8b6d0803fde1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
您最近一年使用:0次
8 . 在
中,
分别为
的中点,
,如图①,以
为折痕将
折起,使点A到达点
的位置,如图②.
(1)证明:
;
(2)若
平面
,求直线
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a204736186742e998dd00acff244a3e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/22/24978418-52bc-4570-ad0f-3fad43683187.png?resizew=351)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31b05b2c4d1a2d7ccacd254f9f60ddd5.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44b190c8d3d7d7d0e6e959e8a52eae90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3f1bb063892dfd8f301d327e2f68feb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b489c25405ce48699d4f0a62820bed.png)
您最近一年使用:0次
9 . 已知
是虚数单位,若
与
互为共轭复数,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02669610bcd003bac64921b6e9c8a2f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdc9d19a201f201702b7f42fdfa15755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bea5230feda4d20df3c4ec52929e278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab87066f8dc070befe5e465a97134d41.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 函数
在
上的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb174514eddfa521364eb0d6ffb8738d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5432187d1c042787433b7633292d00fe.png)
A.![]() | B.![]() | C.0 | D.![]() |
您最近一年使用:0次