名校
解题方法
1 . 如图,在四棱锥
中,
平面
,
,
,
,
.
为
的中点,点
在
上,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/2/3f9033bc-2e28-4dd8-ac0b-54058e78d004.png?resizew=144)
(1)求证:平面
平面
;
(2)求平面
与平面
所成角的余弦值;
(3)若棱
上一点
,满足
,求点
到平面
的距离.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb2dd10731b99c0f4f89ee957f8a239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a923784f083b7f4777891afe06b44e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e253397d209d74dd1c1f2a38f52738ab.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/2/3f9033bc-2e28-4dd8-ac0b-54058e78d004.png?resizew=144)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6501f1c913a4ef64957a2f01ab5baa15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f747eb5b2d21c9de962cbfd4ec4bb7.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb8697622fb9d281cf44feb4adaf14a.png)
(3)若棱
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbacc720190394671ab0b39a1bc77811.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03428a8f91a5674cb8f54766c165f7e.png)
您最近一年使用:0次
2023-06-01更新
|
1624次组卷
|
3卷引用:甘肃省白银市靖远县第四中学2022-2023学年高二下学期6月月考数学试题
名校
解题方法
2 . 在
中,
,
,过点
作
,交线段
于点
(如图1),沿
将
折起,使
(如图2),点
,
分别为棱
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/29/c5569b5d-42e9-4390-ac4e-c5882ee4141e.png?resizew=326)
(1)求证:
;
(2)当三棱锥
的体积最大时,试在棱
上确定一点
,使得
,并求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b27e47690ed332c573186992b6d25654.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a20cb14fea4a7cad4b7775a3dd67df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/29/c5569b5d-42e9-4390-ac4e-c5882ee4141e.png?resizew=326)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73038c8fab9ef31d42b3ee0631b3dd1c.png)
(2)当三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5448218bd8c5b4f4a3714e0b0292d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f8bee68df4d2f8bdcd86cde8b91450.png)
您最近一年使用:0次
2023-04-28更新
|
373次组卷
|
4卷引用:甘肃省天水市第一中学2022-2023学年高二下学期第一学段考(5月)数学试题
甘肃省天水市第一中学2022-2023学年高二下学期第一学段考(5月)数学试题湖南省郴州市嘉禾县第六中学2022-2023学年高二下学期第二次月考数学试题新疆维吾尔自治区乌鲁木齐市2023届高三三模数学(理)试题(已下线)安徽省“江南十校”2023届高三下学期3月一模数学试题变式题17-22
名校
3 . 如图,在四棱锥
中,底面ABCD为直角梯形,
,
,
平面ABCD,Q为线段PD上的点,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/17/71beebd0-e308-4c1b-afb3-59d5807d0846.png?resizew=171)
(1)证明:
平面ACQ;
(2)求直线PC与平面ACQ所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f571396be1aa4a8914a66f7d7abd6381.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f95475bfc06e884754eb4a455c3f434e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57ebf5c4ff8cd7f0908b517315a29f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7ae4091a3a2767fde8e9f5a604c1a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/17/71beebd0-e308-4c1b-afb3-59d5807d0846.png?resizew=171)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f475878dd1b32b0486cbf7b5ffbedd2.png)
(2)求直线PC与平面ACQ所成角的正弦值.
您最近一年使用:0次
2023-04-15更新
|
633次组卷
|
4卷引用:甘肃省张掖市某重点校2022-2023学年高二下学期4月月考数学试题
名校
解题方法
4 . 在四棱锥
中,
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/16/88917825-5b21-45dc-810f-d8b96282c4fb.png?resizew=122)
(1)求证:平面
平面
;
(2)求平面
与平面
所成角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714cc3707bba3bfdb56e251999be8592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11866ef479118516355f4b96dbfc6a9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e46bbd7d3009132ef93592ec3f9b8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13e093a0ee69ef93d32c81f3d5dff181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d52799633a6a7b7c5d188e3486f1ee.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/16/88917825-5b21-45dc-810f-d8b96282c4fb.png?resizew=122)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f04c222223dae9ef27d4c132534d9848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852aabd89edffc1b94344ff3f1f31ccd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.png)
您最近一年使用:0次
2023-04-14更新
|
763次组卷
|
3卷引用:甘肃省张掖市某重点校2022-2023学年高二下学期4月月考数学试题
名校
解题方法
5 . 已知正四面体
的棱长为2,
、
分别是
和
的中点,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
A.直线![]() ![]() |
B.线段![]() ![]() |
C.直线![]() ![]() ![]() |
D.正四面体![]() ![]() |
您最近一年使用:0次
2023-02-16更新
|
667次组卷
|
6卷引用:甘肃省庆阳第二中学2022-2023学年高二下学期第一次月考数学试题
甘肃省庆阳第二中学2022-2023学年高二下学期第一次月考数学试题四川省眉山市仁寿第一中学校南校区2023-2024学年高二上学期第一次质量检测数学试题贵州省六盘水市2022-2023学年高二上学期期末教学质量监测数学试题广东省揭阳市普宁国贤学校2023届高三下学期3月摸底数学试题(已下线)1.1.2 空间向量的数量积运算(AB分层训练)-【冲刺满分】2023-2024学年高二数学重难点突破+分层训练同步精讲练(人教A版2019选择性必修第一册)(已下线)第七章 应用空间向量解立体几何问题拓展 专题一 空间向量基底法 微点2 空间向量基底法(二)【基础版】
名校
6 . 如图,四棱锥
的底面
是梯形,
为
延长线上一点,
平面
是
中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/a6fc650e-4e65-4617-b79e-69ac332e5db3.png?resizew=165)
(1)证明:
;
(2)若
,三棱锥
的体积为
,求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfca948444484683832f88c85721816b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db807b09cc550f476b3f8fa0c6a14425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ec2dfad0611adcb57643a1be9a965b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/27/a6fc650e-4e65-4617-b79e-69ac332e5db3.png?resizew=165)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2484662ae40c406b054d14a7f9e118.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ea9d92e5c258a50af1e461c7388894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c4188199c6db7e447f1b642e4997044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd0a3b418f3b1ae176d2e9c5b4987de.png)
您最近一年使用:0次
2023-01-01更新
|
520次组卷
|
3卷引用:甘肃省张掖市某重点校2022-2023学年高二下学期5月月考数学试题
名校
解题方法
7 . 如图,在四棱柱
中,底面
是矩形,平面
平面
,点
是
的中点,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/17/1f2378e7-c968-4f98-bba0-1f0f1cffe5b2.png?resizew=211)
(1)求证:平面![](https://staticzujuan.xkw.com/quesimg/Upload/formula/641d9688e81760c02d0dfc4ba015afb1.png)
平面
;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a45953045e613b97eeee15ac188ae2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df37b0af1641687cd79792ebc96eaff9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/17/1f2378e7-c968-4f98-bba0-1f0f1cffe5b2.png?resizew=211)
(1)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/641d9688e81760c02d0dfc4ba015afb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1633988fd62a652de726ee92a917b52d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d8eb4a9f462ca0c1d49c3fe91e720d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9afac7c616bbb14e1ed428a3c507c7dc.png)
您最近一年使用:0次
2023-05-11更新
|
759次组卷
|
10卷引用:甘肃省武威市天祝藏族自治县第一中学2022-2023学年高二下学期第二次月考数学试题
甘肃省武威市天祝藏族自治县第一中学2022-2023学年高二下学期第二次月考数学试题甘肃省金昌市永昌县第一高级中学2022-2023学年高二下学期期末数学试题湖北省恩施州巴东县第三高级中学2022-2023学年高二下学期6月第四次月考数学试题辽宁省朝阳市凌源市2022-2023学年高二下学期6月月考数学试题河南省商开大联考2022-2023学年高二上学期期末考试数学试题湖北省鄂东南三校联考2022-2023学年高二下学期阶段考试(二)数学试题江西省抚州市资溪县第一中学2022-2023学年高二下学期5月期中考试数学试题陕西省榆林市府谷中学等四校2022-2023学年高二下学期第一次联考理科数学试题四川省射洪中学校2023届高三下学期第一次月考文科数学试题河北省盐山中学2022-2023学年高一下学期期中数学试题
名校
解题方法
8 . 如图,在四棱锥P—ABCD中,底面ABCD为菱形,PA⊥平面ABCD,
,PA=AB=2,AC与BD交于点O.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/27/0a8df774-1294-4692-992f-b3caee9375a4.png?resizew=206)
(1)求证BD⊥平面PAC.
(2)求PB与平面ABCD所成角的大小.
(3)求二面角P—BD—A的正切值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05740f0c6071846227dc0ec177ad15e8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/27/0a8df774-1294-4692-992f-b3caee9375a4.png?resizew=206)
(1)求证BD⊥平面PAC.
(2)求PB与平面ABCD所成角的大小.
(3)求二面角P—BD—A的正切值.
您最近一年使用:0次
2022-08-26更新
|
1240次组卷
|
6卷引用:甘肃省天水市第一中学2022-2023学年高二上学期第一学段检测数学试题
甘肃省天水市第一中学2022-2023学年高二上学期第一学段检测数学试题云南省红河州开远市第一中学校2022-2023学年高一下学期5月月考数学试题湖南省邵阳市隆回县2021-2022学年高一下学期期末数学试题(已下线)第04讲 空间直线、平面的垂直 (高频考点—精讲)-2(已下线)专题15 立体几何(讲义)-2(已下线)专题强化训练四 直线与平面所成的角、二面角的平面角的常见解法(2)-《考点·题型·技巧》
名校
解题方法
9 . 如图,在四棱锥
中,
是边长为2的正三角形,
,
,
,
,
,
,
分别是线段
,
的中点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/31/14ff46e1-1841-40fb-a0e1-f796ceea804d.png?resizew=136)
(1)求证:
平面
;
(2)求证:平面
平面
;
(3)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e29ed30f17b5944e4afc66ab1d5f7394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40119815a7f913caa86bc5aa118fcf35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e056089ae36a2892cdc776c89d649294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d74bc0e4660fd4670077fc7690a7252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e8cbd7e797606cd87544a63488d5951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06fa0a286a55692e4263a5993b01580b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080ca48cd27d4bf9d9ef084b558fc17a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5845ffc7d1af9053b027cf9e726f5367.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/31/14ff46e1-1841-40fb-a0e1-f796ceea804d.png?resizew=136)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dace90bcafd1fbf25f272b05c3875f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a03203dd5ac79dd8c6707e4340773359.png)
(2)求证:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08c275228a26b12128e033a25532e013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8263493a370d77a1e6e19f331c970955.png)
(3)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4d781525777c7b5284dffc70b2a28a.png)
您最近一年使用:0次
2022-07-21更新
|
745次组卷
|
3卷引用:甘肃省白银市会宁县第四中学2022-2023学年高二下学期第一次月考数学试题
名校
解题方法
10 . 如图所示,已知多面体PABCDE的底面ABCD是边长为2的菱形,
底面ABCD,
且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/22/9fda6e3b-2de7-422e-8501-bab5a4abc744.png?resizew=204)
(1)证明:
平面ABP;
(2)证明:平面
平面BDE;
(3)若
,求棱锥
的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ec7c1be3323af9abad2c5e3b1bb707b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e0f24301cd1bfb1348f4d51f5d4d4a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/22/9fda6e3b-2de7-422e-8501-bab5a4abc744.png?resizew=204)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a20ea69475dcf57a5ff18c13eceaaa.png)
(2)证明:平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d077f6da8b2c00b152d4679aa2ed7f7.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e075468e7fb0bf30229aec01a7205977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45d492a2248463e0c0199a25d0f76d23.png)
您最近一年使用:0次