1 . 已知集合
,对于
,
,定义
与
之间的距离为
.
(1)已知
,写出所有的
,使得
;
(2)已知
,若
,并且
,求
的最大值;
(3)设集合
中有
个元素,若
中任意两个元素间的距离的最小值为
,求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0a1ddf7f51f115fa436aadb2de92b3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1e6a5b4c75edf2ee68f935b2e3fe12d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec1a7c3713945abc4eca8485945abf32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ab4a9bfa50054c808dd8190305d0abd.png)
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e25cf1d30f458593f08325f85f6e0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42c72cbaca91d8e578762c4f0b6750a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4aaf68eac26dd95e0eb726913dfc17b.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/003fbb029cdb6d5d7f93e29dca371f7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e77ba8c90d21237670483bbcd8ac63b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c332b53365518c5cf5361bf3cacd47b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4a2681390214200443ae07c01a4abe.png)
(3)设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11feb79d33ca429733a82c5d88393ba1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1071ac8657ef1c4e1ea7e0530196298d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9d528f49ab8d7fd971c5bb8fa7f24d4.png)
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名校
2 . 对于分别定义在
,
上的函数
,
以及实数
,若存在
,
使得
,则称函数
与
具有关系
.
(1)若
,
;
,
,判断
与
是否具有关系
,并说明理由;
(2)若
与
具有关系
,求
的取值范围;
(3)已知
,
为定义在
上的奇函数,且满足:
①在
上,当且仅当
时,
取得最大值1;
②对任意
,有
.
判断
与
是否具有关系
,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c296e45b84cf67a98939aa7334e7d478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4413796ac3d5ca067bf70334101f5440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e3ac1b540727626af78788a8e5f15de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6fc39a0cea8095683ad4a20a2f96f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9da4f4bf9fb72cabd7afc5a67f6ecf1c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12959f65e9db83c446c35d3261a33171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5cdde751120c6deab563a6f7f8cf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/976581d4a974fe50f9f29d430c1289f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5cdde751120c6deab563a6f7f8cf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/677007fe2d220c74cbe3c9f4e9f8ccec.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3510b22fcf848f36cfaf5ff8964ce049.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17f318506aebfa6403ca8177d8db36d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9da4f4bf9fb72cabd7afc5a67f6ecf1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
①在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a78355986534b6e50bd7cabc9290a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede97915bccd6a7b22d7400c30f8adea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
②对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0d3607cac89a65327549f87f20ba1c7.png)
判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca470d8c4a0a60e9f600d6aa264ad1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccb41d5badc297be2d9b8931991ab7a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1115793a13fb11c9e126cbb1fb2ac879.png)
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2024高一下·上海·专题练习
3 . 某同学用“五点法”画函数
,
在某一周期内的图象时,列表并填入的部分数据如下表:
(1)请填写上表的空格处,并写出函数
的解析式;
(2)将函数
的图象向右平移
个单位,再所得图象上各点的横坐标缩小为原来的
,纵坐标不变,得到函数
的图象,求
的单调递增区间;
(3)在(2)的条件下,若
在
上恰有奇数个零点,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fcd4082d14e5a26c6fccf782576856.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1acd2d5f345bc859faaf9edc1036a6c7.png)
![]() | ![]() | ![]() | ![]() | ||
![]() | 0 | ![]() | ![]() | ![]() | ![]() |
![]() | 0 | 1 | 0 | ![]() | 0 |
![]() | 0 | ![]() | 0 | ![]() | 0 |
(1)请填写上表的空格处,并写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ca334d2ae1289b70941e6af9e336a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91609d305f182620aff2f5d85cc7e17f.png)
(3)在(2)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecdb2704ea6bc44b5a75fb3c8a100353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3810fc5221a4e2e7095f945bb4a2e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
4 . 对于定义在
上的函数
,如果存在一组常数
,
,…,
(
为正整数,且
),使得
,
,则称函数
为“
阶零和函数”.
(1)若函数
,
,请直接写出
,
是否为“2阶零和函数”;
(2)判断“
为2阶零和函数”是“
为周期函数”的什么条件(用“充分不必要条件”“必要不充分条件”“充要条件”或“既不充分也不必要”回答),并证明你的结论;
(3)判断下列函数是否为“3阶零和函数”,并说明理由.
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87c7eb49a823f757461cd5260757b088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cd84a8f95166367063218ee03ffd5a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f7f4cc0837a4e6dcd0072887e4e2704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efe6d9f54a34762aadfdf8e2bac977cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892519541cfba6f2763cd29159bf1b02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/329fb959f16f82835aa68fca9d3f08f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcda6a21da79726f8fb3ba6235b9010f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebef85c05f6d84ceb67d92abf77ba2c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ace630100e64ed290d82936ad249c8.png)
(2)判断“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)判断下列函数是否为“3阶零和函数”,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ab7da79b2400cf8125ef040cd056b76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/321b15db96dc89f136a7421e09fc9814.png)
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5 . 对于定义域为R的函数
,若存在常数
,使得
是以
为周期的周期函数,则称
为“正弦周期函数”,且称
为其“正弦周期”.
(1)判断函数
是否为“正弦周期函数”,并说明理由;
(2)已知
是定义在R上的严格增函数,值域为R,且
是以
为“正弦周期”的“正弦周期函数”,若
,且存在
,使得
,求
的值;
(3)已知
是以
为一个“正弦周期”的“正弦周期函数”,且存在
和
,使得对任意
,都有
,证明:
是周期函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/094f977194228bed828f3507f5898934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37dd12a44398c1da043894287ed73951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a24462399b3f0a55f56ee64f2eace7.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a198d1e1aad38ac00efe0529e6598967.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69362920a541bcf343c7e2b6745c9473.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c456cf701f55723e8d8f6c06114d9155.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c27720b9725aab9069e49693f4ebf1.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1741f5326542c1e7960ffe9a495f2f18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
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6 . 设A、B、C是函数
与函数
的图象连续相邻的三个交点,若
是锐角三角形,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4794be662f783b33ee48c6628e1d1628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9524dcbdc908ba21656b66c04c2193c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a670e5d56fcdd3cc214064c5d3d3b1.png)
(1)当
时,解关于
的不等式
;
(2)若
有两个零点
,求
的值;
(3)当
时,
的最大值
,最小值为
,若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14a670e5d56fcdd3cc214064c5d3d3b1.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ef9f9f0a79e61a30f7da782cbb2fab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6abf3f9b0ebcdc47a028c781b7edb9.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1591d4244dcf5539a4ae98f554e91e61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc5f18a08ed6cf92b894ea722af72862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
8 . 小竹以某速度沿正北方向匀速行进. 某时刻时,其北偏西
方向上有一距其6米的洒水桩恰好面朝正东方向. 已知洒水桩会向面朝方向喷洒长为
米,可视为笔直线段的水柱,且其沿东—北—西—南—东的方向每3秒匀速旋转一周循环转动. 若小竹不希望被水柱淋湿且不改变行进方向和速度,则他行进的速度可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
9 . 设集合
.定义:和集合
,积集合
,分别用
表示集合
中元素的个数.
(1)若
,求集合
;
(2)若
,求
的所有可能的值组成的集合;
(3)若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59889190d638327c0b0b0cc162d41221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f706563c8dc02e70264ce4211a89c709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eaec9915cb9f6c01cb87a6c7b0d121b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c376afabc2928dd4299dca55d5bfc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a9e6ad1166c7625e63b80e75b2fb1d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d2734b136f9961df15bb51c31e29e28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc8f054b30b493c4ce1deecff3468c08.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d197338ab810f6c9d31a2b67e5f352ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef01842529a2a0028f17f35b6281e1a.png)
您最近一年使用:0次
名校
10 . 已知函数
和
的定义域分别为
和
,若对任意
,恰好存在n个不同的实数
,
,…,
,使得
(其中
,2,…,n,
),则称
为
的“n重覆盖函数”.
(1)判断
(
)是否为
(
)的“n重覆盖函数”,如果是,求出n的值;如果不是,说明理由;
(2)若
为
的“2重覆盖函数”,求实数a的取值范围;
(3)函数
表示不超过x的最大整数,如
,
,
,若
,
为
,
的“2024重覆盖函数”,求正实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6795cae2df43a722e1355e9562d93c09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c296e45b84cf67a98939aa7334e7d478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3eddf991be37d25d033f78bd3511809.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/fc40290feeafceca34cbdab068dcd769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe44a5aed663a9b61ef7355b38c77d0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c45176df950dfe48b8ca7eac08ee349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/986cf0c6c92f8a0e0370b50d5606d483.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365114c53aa12abda1004c8e4cb4ca0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c1b4a895643b6b3cfddbe5d4a1157b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8160ade472b89421f8009fd0cd3926a3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f246e5b05b68bb9fdeb12a319aa7136.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa88c20e58953bba4ed04d3ce419df95.png)
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c4f5908d6a1217e493ed7586b6964dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fe1e778c9e668594c42b77459328c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3420606c96b68fb884c839923fd20a25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf813e9500eebd474511b865b876ea4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0c6435833958c7987934c3367d48b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50af11c345056215054f7cfe679939da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a5877b36b0def7389b8fb66e8491644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4cbc7b067862a3d9c6789b392fc068.png)
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