名校
解题方法
1 . 斜二测画法是一种常用的工程制图方法,在已知图形中平行于
轴的线段,在直观图画成平行于
轴(由
轴顺时针旋转
得到)的线段,且长度为原来的
,平行于
轴的线段不变.如图,在直角坐标系
中,正方形
的边长为
.定义如下图像变换:
表示“将图形用斜二测画法变形后放回原直角坐标系”;
表示“将图形的横坐标保持不变,纵坐标拉伸为原来的
倍”.
经过两次
变换后所得图形为
,求
的坐标;
(2)在第
次复合变换中,将图形先进行一次
变换,再进行一次
变换,
. 记正方形
进行
次复合变换后所得图形为
.过
作
的垂线,垂足为
,若
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4d2174f411d9db6ab7b2aea47818cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e5fa72f2878b476bc57f0df12d6555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31c9ff64b11c29441ffc10c8cc70cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89fe33c85f43cc3208ae16c2796b9188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5bf350a619ef25d8d9b988f3db804e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68ee712dfc82e1acc31ef8dcad479a39.png)
(2)在第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9a724b59c890095baa5cb73e267c44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d31c9ff64b11c29441ffc10c8cc70cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d904903ab8465eb522d2b8cde0fc29a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36134f01da0f13b340e82e8835324f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3cfeacc29e6a61c5b3b4e439c0a91df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f24172ca004ead2629ef8541a709419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87bd7d18f67e90a7c37fad4252e43c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a8c8bb5b1ee645a5e94c72823b5f295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-05-08更新
|
815次组卷
|
2卷引用:浙江省杭州学军中学2024届高三下学期4月适应性测试数学试题
名校
解题方法
2 . 已知
是方程
的两根,数列
满足
,
,
.
满足
,其中
. 则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d98919b1335a8b7ca020636d1494ad0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/073c95775e8c6c15c7f2f8a4a2ad050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a31ae70f96dc4aef6e1ca3ef9fed38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf6746bfcdf694447215a11f5b677d40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140b5428dace7d41a3967db2f60d633e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c071ed6bc646439b162e096e64fbcd50.png)
A.![]() |
B.![]() |
C.存在实数![]() ![]() ![]() |
D.不存在实数![]() ![]() ![]() |
您最近一年使用:0次
2024-05-08更新
|
945次组卷
|
2卷引用:浙江省杭州学军中学2024届高三下学期4月适应性测试数学试题
3 . 在平面直角坐标系
中,我们把点
称为自然点.按如图所示的规则,将每个自然点
进行赋值记为
,例如
,
.
;
(2)求证:
;
(3)如果
满足方程
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf605049627d3daa923678a6aef32ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0203b006524305c3d8ee0b6c34cd872b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e1724bbcf5d1c36fe85241c4a79946e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6426b6fd54a15195e19912dae914467b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d30a35ff926570aa6d8c7c8673dd58.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42abd298d7701e2d1a043828509cc913.png)
(3)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5df47125e6a646a90803f98359911bf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8701e0cce437edc830438b4fe6277d89.png)
您最近一年使用:0次
2024-03-24更新
|
787次组卷
|
2卷引用:浙江省五校联盟2024届高三下学期3月联考数学试题
名校
解题方法
4 . 为了验证某款电池的安全性,小明在实验室中进行试验,假设小明每次试验成功的概率为
,且每次试验相互独立.
(1)若进行5次试验,且
,求试验成功次数
的分布列以及期望;
(2)若恰好成功2次后停止试验,
,记事件
:停止试验时试验次数不超过
次,事件
:停止试验时试验次数为偶数,求
.(结果用含有
的式子表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44fed1be8b7e50f18cb90077d9fce8e4.png)
(1)若进行5次试验,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f970f380a12c843bb4a74ff34a15b2ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
(2)若恰好成功2次后停止试验,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79a18d2bd429301b5478dcd26c572266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f27f84764f1cca89ce3d93fc1cf603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aecbf1c6626bbb1c3a4e0952db8a25e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
名校
5 . 已知
是公比不为1的等比数列
的前
项和,则“
成等差数列”是“存在不相等的正整数
,使得
成等差数列”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/089f16d8941a9a57c89a25d1f5fc1017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ae138b4f85019d3faa39b271342adb.png)
A.充分不必要条件 | B.必要不充分条件 |
C.充要条件 | D.既不充分也不必要条件 |
您最近一年使用:0次
2024-03-19更新
|
1350次组卷
|
3卷引用:浙江省宁波市“十校”2024届高三3月份适应性考试数学试题
6 . 已知定义在R上的可导函数
满足
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f75ce6ac156dc9cc608f5c00f42cfa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d612d8abf2331981bafb8ca9448750.png)
A.![]() | B.4是![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-10-10更新
|
614次组卷
|
2卷引用:浙江省新阵地教育联盟2024届高三上学期第二次联考数学试题
7 . 已知数列
的各项均为非负实数,且对任意正整数
,均有
.
(1)若
成等差数列,证明:存在无穷多个正整数
,使得
;
(2)若
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/336407650f4fc2bdfdbe639c03ebb599.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c14d9ae06f864498048d55088ff4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea867f78d52b7382c38e8fc6e2e2a9c0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16c2570afdfeebd6bfbcc6da5edc878f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce88126c3cbc88e03d38f56b7da315b6.png)
您最近一年使用:0次
8 . 数列
前
项和为
,若
,且
,则以下结论正确的有( )
![](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/cdcac1293a7e7382b5b7abf78d9b1a36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3782558a25eb701c74a44437e3ba4f87.png)
A.![]() |
B.数列![]() |
C.数列![]() |
D.![]() ![]() |
您最近一年使用:0次
2023-03-16更新
|
1195次组卷
|
2卷引用:浙江省宁波市十校2023届高三下学期3月联考数学试题
解题方法
9 . 已知等差数列
的前n项和为
,且
若存在实数a,b,使得
,且
,当
时,
取得最大值,则
的值可能为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63d471926f7b27322d90c82b9ce21d3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc3395f52d45326e3afe1a3ce1c0d752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8792eaab0b6464e5d07436c64aa751a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d3c0728a9a4c72d7569b0d67d3cc93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ef7ca2b3e8061384501f668e59696a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba28541348b873e9f826558db1c51e3.png)
A.13 | B.12 | C.11 | D.10 |
您最近一年使用:0次
2022-11-18更新
|
518次组卷
|
4卷引用:浙江省部分学校2022-2023学年高三上学期12月联考数学试题
浙江省部分学校2022-2023学年高三上学期12月联考数学试题云南省部分名校2023届高三上学期11月联考数学试题湖北省襄阳市部分学校2022-2023学年高三上学期期中数学试题(已下线)江苏省八市2023届高三二模数学试题变式题6-10
名校
解题方法
10 . 已知函数
恰有两个零点
,
和一个极大值点
,且
,
,
成等比数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b029ff1ec707abd0d2a14b9a3d4c2082.png)
__________ ;若
的解集为
,则
的极大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b269dce1ae3396d2afc82a91dc6f97ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90aa505e4e41dd4becc7e55d2e938f7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b029ff1ec707abd0d2a14b9a3d4c2082.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85db4f72795b4a150a734d835ffbd913.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c253ea436c94f88bd5a3ddb799ef30ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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2022-10-11更新
|
1108次组卷
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5卷引用:浙江省金华十校2023-2024学年高三上学期11月模拟考试预演数学试题