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解题方法
1 . 已知椭圆
的上、下顶点为
,左、右焦点为
,四边形
是面积为2的正方形.
(1)求椭圆
的方程;
(2)已知圆
的切线
与椭圆
相交于
两点,判断以
为直径的圆是否经过定点?如果是,求出定点的坐标;如果不是,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7429189611d95c26864ec248119af9d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6939353e2387477b4149848a2818e63.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)已知圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b75065f2460b107f58d47b41a277b5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
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2 . 由
个正整数构成的有限集
(其中
),记
,特别规定
,若集合M满足:对任意的正整数
,都存在集合M的两个子集A,B,使得
成立,则称集合
为“满集”.
(1)分别判断集合
与
是否为“满集”,请说明理由;
(2)若集合
为“满集”,求
的值:
(3)若
为满集,
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa99639ae86ed0eb77369d0ab16e062.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b85889b308ebb3923999a908aac92cbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebc22ec3dd9bd6aaca20dac58effc277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b44aed8cc107aecae26873891bfdc5f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea670041bfb683baa3544ae6b84e2674.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c929017a03ca7068dd9de323e1aafef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)分别判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb1d0526d8252e213e396c0ea497c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1ff3cf4b4399ea9e79f5b9f4cd285e1.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e72adb45c60c2f63b46e65ff787302bf.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9221840cf541e2564ba035f43c7a408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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23-24高三上·北京西城·期末
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解题方法
3 . 给定正整数
,已知项数为
且无重复项的数对序列
:
满足如下三个性质:①
,且
;②
;③
与
不同时在数对序列
中.
(1)当
,
时,写出所有满足
的数对序列
;
(2)当
时,证明:
;
(3)当
为奇数时,记
的最大值为
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2477167a02872167b2a3760f09d6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc25d4213ca2eadce49e6d8ba805e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1b730e2023809495f2bd7fbf48f07a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca986e62ec3a6e50e4e2cad639aa9201.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd869b784314b8278f5d144b2d3a9fb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698c4d4e50062b4a7dd70fe1b4ab4fd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/302391681aa37ac20d6f533dbae9e137.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a215612787e43d28bfebc840c3903b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60302649eb940748da818199e55da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/241d587c2e6f2f109a4e41b79f1c800f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/926c16dd072c9ff8a560b003cfb47053.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4546b12ff89d1599427da82294afc09b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4546b12ff89d1599427da82294afc09b.png)
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2024-01-19更新
|
2089次组卷
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6卷引用:高三数学开学摸底考 (北京专用)
(已下线)高三数学开学摸底考 (北京专用)(已下线)北京市西城区2024届高三上学期期末数学试题北京市西城区2024届高三上学期期末数学试题2024年普通高等学校招生全国统一考试数学冲刺卷二(九省联考题型)江西省南昌市第二中学2024届高三“九省联考”考后适应性测试数学试题(四)江苏省连云港高级中学2023-2024学年高二下学期第一次月考数学试卷
4 . 对于数集
(
为给定的正整数),其中
,如果对任意
,都存在
,使得
,则称X具有性质P.
(1)若
,且集合
具有性质P,求x的值;
(2)若X具有性质P,求证:
;且若
成立,则
;
(3)若X具有性质P,且
,求数列
的通项公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4622c700325a90d453e6300b886a8e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0bc1a0bba5e6e8ddf6f1f60f78e6490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/887982e3735dd7ca13293338a12df593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6dbbefb5a9955cdbe090c5f0b8a8d37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43cbab5722e0fb2df79a07cfe8f1164b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7511e6ce72a5232820b7007f976be9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/864dd49f786346bc320deace92f949b0.png)
(2)若X具有性质P,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7551ee6e86b2c6e79236dfe3e2e2c24b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/346549f9adda7eb363f16d355ae68b85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a60302649eb940748da818199e55da.png)
(3)若X具有性质P,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573502cfaa4baf7c0db4b4a294015f3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe1c31a81f198c443e71b83ca662939.png)
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5 . 已知函数
,曲线
在点
处的切线方程是
.
(1)求
、
的值;
(2)求证:
;
(3)若函数
在区间
上无零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f348531e37fb57e4adc74a9373ef27f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6e15daf7b14dbff32c390f4984dcfb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89f5698f41b542aff4bcebbc81ff92b.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d18ee2bd623e38eb3ee8569e31bf6f44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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6 . 已知无穷数列
满足
,其中
表示x,y中最大的数,
表示x,y中最小的数.
(1)当
,
时,写出
的所有可能值;
(2)若数列
中的项存在最大值,证明:0为数列
中的项;
(3)若
,是否存在正实数M,使得对任意的正整数n,都有
?如果存在,写出一个满足条件的M;如果不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25ba6d5fdf4c491c1332483be3cfab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d37f161c1dd788025cef9910858df7a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c03a27be8ae82e24b86cc52a92204c28.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
(2)若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a65d8762e567f485f39f81564b593a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5612ce06759d0f77ca029d10083f7d1e.png)
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2023-05-05更新
|
3791次组卷
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19卷引用:北京一零一中学2024届高三上学期统考一数学试题
北京一零一中学2024届高三上学期统考一数学试题北京市第二中学2023-2024学年高三下学期开学考试数学试卷北京市朝阳区2023届高三二模数学试题北京卷专题18数列(解答题)北京市景山学校2024届高三上学期10月月考数学试题(已下线)北京市第四中学2024届高三上学期10月月考数学试题北京市东城区东直门中学2024届高三上学期期中数学试题(已下线)高三数学开学摸底考02(新考法,新高考七省地区专用)北京市顺义区第九中学2023-2024学年高三下学期3月月考数学试题北京市海淀实验中学2024届高三上学期10月月考数学试题(已下线)北京市第四中学2024届高三上学期10月月考数学试题变式题16-21(已下线)专题01 条件开放型【练】【北京版】2024年全国普通高中九省联考仿真模拟数学试题(二)(已下线)【一题多变】取大取小 分类讨论广东省2024届高三数学新改革适应性训练二(九省联考题型)(已下线)数列新定义(已下线)(新高考新结构)2024年高考数学模拟卷(二)上海市杨浦区复旦大学附属中学2024届高三下学期3月月考数学试题广东省云浮市云安区云安中学2024届高三下学期3月模拟考试数学试题
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7 . 已知函数
,
.
(1)求
在
处的切线方程;
(2)判断函数
在区间
上零点的个数,并证明;
(3)函数
在区间
上的极值点从小到大分别为
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbdd006d6c6aa4c00282f564718a03a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063fae1ac0d76584d4caf4a9c727a5b7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1c1472000e0565b237baade33bf5a18.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad14579830d0293b1390911cb603eb02.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad14579830d0293b1390911cb603eb02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147f89995c5aa07ce7f797c308c9c7d2.png)
您最近一年使用:0次
2023-02-21更新
|
1213次组卷
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4卷引用:北京市陈经纶中学2023届高三下学期综合练习一(开学考试)数学试题
北京市陈经纶中学2023届高三下学期综合练习一(开学考试)数学试题辽宁省鞍山市第一中学2024届高三第二次模拟考试数学试题(已下线)第九章 导数与三角函数的联袂 专题四 利用导数证明含三角函数的不等式 微点3 利用导数证明含三角函数的不等式(三)天津市滨海新区塘沽第一中学2024届高三上学期第二次月考(期中)数学试题
名校
8 . 已知函数
.
(1)求曲线
在
处的切线方程;
(2)当
时,求
的单调区间;
(3)若对任意
,
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5277f1862dd51c953084242775c5979.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b491f4deb98a15e7794f4d1d51234bf3.png)
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9 . 已知数列
:
,其中
,且
.
若数列
满足
,当
时,
或
,则称
:
为数列
的“紧数列”.
例如,数列
:2,4,6,8的所有“紧数列”为2,3,5,8;2,3,7,8;2,5,5,8;2,5,7,8.
(1)直接写出数列A:1,3,6,7,8的所有“紧数列”
;
(2)已知数列A满足:
,
,若数列A的所有“紧数列”
均为递增数列,求证:所有符合条件的数列A的个数为
;
(3)已知数列A满足:
,
,对于数列A的一个“紧数列”
,定义集合
,如果对任意
,都有
,那么称
为数列A的“强紧数列”.若数列A存在“强紧数列”,求
的最小值.(用关于N的代数式表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1c68d4ed9e75f2cd7dd4382fd84f378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c14386d3ebe0a13abcc6c57cac5da562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d291f70ac12e8eda5043e237872f40ab.png)
若数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f77307c2329739824dc4ebb00ce2f6b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/817668f6b387152a58a59af8120d0cc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e685d8f0acaf70f65419c2f7254fb17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb5761e201b1c22ecdb526a1799a3f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6629b3737b2c34e2bfd2228d3dba8ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532fbe9e311f4e80e72ce9c058547017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95df0e3c85670e818483fe707483cf3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
例如,数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)直接写出数列A:1,3,6,7,8的所有“紧数列”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9f1f859a3544dd1990cc3931cd7682.png)
(2)已知数列A满足:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade9b6affad439cb8de5b1d81a3de498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9f1f859a3544dd1990cc3931cd7682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/945f4f3bbb203dbcab32cdb5a857b468.png)
(3)已知数列A满足:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1bae03ee4ac75dacfb026290e4207dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9b6e51986fe5d7a7265e0e93adcb4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9f1f859a3544dd1990cc3931cd7682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c79dadf52c07bd746cbd9528513ddf9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c28171a8e884a41b26c7da8fc1185b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59a038b683412a470a6aac203e12ece.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9f1f859a3544dd1990cc3931cd7682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7334c46af837676ada9575630a48d60f.png)
您最近一年使用:0次
2022-12-06更新
|
582次组卷
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5卷引用:北京大兴区教师进修学校2023届高三下学期开学检测数学试题
名校
10 . 设正整数数列
,
,
,
满足
,其中
.如果存在
,3,
,
,使得数列
中任意
项的算术平均值均为整数,则称
为“
阶平衡数列”
(1)判断数列2,4,6,8,10和数列1,5,9,13,17是否为“4阶平衡数列”?
(2)若
为偶数,证明:数列
,2,3,
,
不是“
阶平衡数列”,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246f051291c76972cc3bd4a4f82f2342.png)
(3)如果
,且对于任意
,数列
均为“
阶平衡数列”,求数列
中所有元素之和的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/140b9dbcada4ac2e5fe3cc30009bcd67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a682c1e08d96bf4dc8d674b4b6a1c920.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/431acf301f0cf1e414b532de94708474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb62c59018da6ef27b45a210c675129.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ad48b0279100c0f6958fdba11d84b03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3550c48a81ab687bbcdd8fdc6931701f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(1)判断数列2,4,6,8,10和数列1,5,9,13,17是否为“4阶平衡数列”?
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f344a2d8d76fad8cbecaffc44f11f907.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07096af3b99fd1cb11c31f19a2c6408e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246f051291c76972cc3bd4a4f82f2342.png)
(3)如果
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0da1b6e7328f7540c2e964874fbc4b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246f051291c76972cc3bd4a4f82f2342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2024-01-14更新
|
1106次组卷
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9卷引用:北京市第四中学2022届高三下学期开学考试数学试题
(已下线)北京市第四中学2022届高三下学期开学考试数学试题北京市陈经纶中学2023届高三下学期综合练习一(开学考试)数学试题北京西城区2019届高三上学期期末数学(理)试题(已下线)数学-2022届高三下学期开学摸底考试卷(北京专用)北京市第三中学2023届高三上学期期中学业测试数学试题上海市吴淞中学2021-2022学年高二上学期期末数学试题(已下线)期末真题必刷压轴60题(22个考点专练)-【满分全攻略】2023-2024学年高二数学同步讲义全优学案(沪教版2020必修第三册)2024年普通高等学校招生全国统一考试数学冲刺卷一(九省联考题型)云南省昆明市云南师范大学实验中学2023-2024学年高二下学期3月月考数学试题