1 . 选修4-1:几何证明选讲
如图,
切
于点
,直线
交
于
,
两点,
,垂足为
,
.
![](https://img.xkw.com/dksih/QBM/2016/10/12/1573065985245184/1573065991389184/STEM/f060b0b4b8fb42a585ee3873a0ef1fdd.png)
(1)证明:
;
(2)若
,求
.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fba66a2f7f315f2db900fd56c1cd8e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fba66a2f7f315f2db900fd56c1cd8e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71deef18df0a35ef131b5653aa0b0202.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e897262b135f6b846fa67074d99cae5f.png)
![](https://img.xkw.com/dksih/QBM/2016/10/12/1573065985245184/1573065991389184/STEM/f060b0b4b8fb42a585ee3873a0ef1fdd.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d2578f85b4c6cfb9fdae5f7a2d72fdb.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f144992e1cbee34868abce1e5ad38c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
您最近一年使用:0次
2016-12-04更新
|
148次组卷
|
2卷引用:2016届山西右玉一中高三冲刺压轴卷四数学(理)试卷
2 . 选修4-1:几何证明选讲
如图,在⊙
的直径
的延长线上取点
,作⊙
的切线
,
为切点,在
上找一点
,使
,连接
并延长交⊙
于点
.
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/db76e342dddd4f21a0e18f6effa2ccd4.png)
(1)求证:
;
(2)若⊙
的半径为
,
,求
的长.
如图,在⊙
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/bd915a00a2fb49029dc392368b4e0447.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/7df0238e840e4b489d0f5faeaf9146df.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/f40232a884aa4144bada5a26736f40e4.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/bd915a00a2fb49029dc392368b4e0447.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/b28e89f8a54c4b87885d5661d79e896d.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/8029f143c0cf49a694ba2adbc01d3a65.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/7df0238e840e4b489d0f5faeaf9146df.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/3e1dd0dc554f4485b3686cffe6fb18fc.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/c31c855323d24d059c22c68c5b4ce601.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/712dc1f6e4d242ac897e63cdcab1af3b.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/bd915a00a2fb49029dc392368b4e0447.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/9b0319724cee482e8e8f061d323476ba.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/db76e342dddd4f21a0e18f6effa2ccd4.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/cc27b86042a741bcb2a771ff0a06574a.png)
(2)若⊙
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/bd915a00a2fb49029dc392368b4e0447.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/0a69bcd87b0e4530956d8e8a0132a367.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/889219afa9e54fbd9315a9f630179c6b.png)
![](https://img.xkw.com/dksih/QBM/2016/9/13/1573017246253056/1573017252708352/STEM/c2205b25c0434ac8aae5961ac7f3ad9d.png)
您最近一年使用:0次
3 . 选修4-1:几何证明选讲
如图,
是
的外接圆,
的平分线
交
于
,交
于
,连接
并延长, 交
于
,交
于
.
![](https://img.xkw.com/dksih/QBM/2016/9/7/1573003126251520/1573003132870656/STEM/a5e23fa7201644d1bf658198a0a2c24e.png)
(1)证明:
;
(2)若
求
的长.
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6062582a0a1679aa777451f25008411d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.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/880be04496b4e06b1c47d433d880b442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdc93e193fad261689949a52819753f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2016/9/7/1573003126251520/1573003132870656/STEM/a5e23fa7201644d1bf658198a0a2c24e.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5c2123f90f931140fe9f85a3e61e30d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a30bf456a72760e9a91e070752d8a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2016-12-04更新
|
120次组卷
|
3卷引用:2016届山西晋城市高三下学期三模考试理数学试卷
4 . 选修4-1:几何证明选讲
已知如图,四边形
是圆
的内接四边形,对角线
交于点
,直线
是圆
的切线,切
点为
,
.
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/7ac423a9960b4cfc89f3dfff0e2c0617.png)
(1)若
,求
的长;
(2)在
上取一点
,若
,求
的大小.
已知如图,四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac07c8a89cc64fde478fff9da45b7ad.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/7ac423a9960b4cfc89f3dfff0e2c0617.png)
(1)若
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/32da3ad1210e409d949bd8c5de8ab84b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)在
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/4342a0ab72484c1aa017103a09453653.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/c8c6545fd3364b64a3783119404c785b.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/35c1cfc7bf4e4d2aa008c79a2453f3e7.png)
![](https://img.xkw.com/dksih/QBM/2016/9/5/1572994627854336/1572994634260480/STEM/c711092c86f64a96bd8dc66156749261.png)
您最近一年使用:0次
5 . 选修4-1:几何证明选讲
已知如图,四边形
是圆
的内接四边形,对角线
交于点
,直线
是圆
的切线,切
点为
,
.
(1)若
,求
的长;
(2)在
上取一点
,若
,求
的大小.
已知如图,四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b3c032441543354c154ee67d744abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
点为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac07c8a89cc64fde478fff9da45b7ad.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f24baa0e5971b5e3e41477c183b56e8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7341a01a2aa0d2d565e5abba6a5e76d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c028c1617dbdbe72d6e78096b9d17221.png)
![](https://img.xkw.com/dksih/QBM/2016/8/29/1572993616281600/1572993622712320/STEM/78d2b6074e4e4c7ba8f4055a6dbc5df6.png)
您最近一年使用:0次
6 . 选修4-1:几何证明选讲
如图,已知⊙
和⊙
相交于
两点,
为⊙
的直径,直线
交⊙
于点
,点
为弧
中点,连结
分别交⊙
、
于点
,连结
.
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/0788126bbbee4b6ab1a24012150760b9.png)
(Ⅰ)求证:
;
(Ⅱ)求证:
.
如图,已知⊙
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/c350f52857814149874a27ba7730706e.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/21dbc307c442440bb71ba4e3668b1d75.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/72d92c8dfb6f46f6bfdb5f66bd0dca18.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/ae28a27e8e114a6790fa164387cb9124.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/21dbc307c442440bb71ba4e3668b1d75.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/e269e9ffe8fd44faa85f491140763ca4.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/c350f52857814149874a27ba7730706e.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/ee413e70c134433e87e80ec487fefaca.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/23f19740df0840c1a3ad61d7507572d0.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/e269e9ffe8fd44faa85f491140763ca4.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/4ef4f3f4f55e417d845c7d87be341805.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/c350f52857814149874a27ba7730706e.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/e269e9ffe8fd44faa85f491140763ca4.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/d0ce8c3b127649f48eec6b5bcca9e4f4.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/7690c973d5b846d5956897cc35c7df0f.png)
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/0788126bbbee4b6ab1a24012150760b9.png)
(Ⅰ)求证:
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/b82f9a16cc5a40759dfde97e13b611b7.png)
(Ⅱ)求证:
![](https://img.xkw.com/dksih/QBM/2016/7/1/1572856586625024/1572856592572416/STEM/c42772cd27f940aa9d287ee79e2fd3f7.png)
您最近一年使用:0次
7 . 如图,
是⊙
的切线,
是⊙
的割线,
,连接
,分别于⊙
交于点
,点
.
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572698431021056/1572698437361664/STEM/ecb78891d0304dd5896a02ce103c27c4.png)
(Ⅰ)求证:
∽
;
(Ⅱ)求证:
.
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572698431021056/1572698437361664/STEM/f88d18cbe8fe455c95a3c57c78545f2e.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572698431021056/1572698437361664/STEM/fc5cc9e2acce434a819590409bd873cc.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572698431021056/1572698437361664/STEM/a31d55378dde415a84e90425ca04949f.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572698431021056/1572698437361664/STEM/fc5cc9e2acce434a819590409bd873cc.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572698431021056/1572698437361664/STEM/608b10d1c8eb48b19f705a9082b51524.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572698431021056/1572698437361664/STEM/458e3e8be24c440c810ff444642c38ec.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572698431021056/1572698437361664/STEM/fc5cc9e2acce434a819590409bd873cc.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572698431021056/1572698437361664/STEM/5785167a96514fc493919f3ca7aaed93.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572698431021056/1572698437361664/STEM/1e29ad1b5f8b455396f4d8619a1104ee.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572698431021056/1572698437361664/STEM/ecb78891d0304dd5896a02ce103c27c4.png)
(Ⅰ)求证:
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572698431021056/1572698437361664/STEM/f785907877354fd5b523fb8771b7e430.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572698431021056/1572698437361664/STEM/bf8d54821e654243805d5d81ff3700f0.png)
(Ⅱ)求证:
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572698431021056/1572698437361664/STEM/6a9fcfc07de64799a0ad4e3dcbbc7394.png)
您最近一年使用:0次
12-13高三·河南南阳·阶段练习
8 . 如图,在
中,
是
的角平分线,
的外接圆交
于点
,
.
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572696996036608/1572697002213376/STEM/a1d2f57cf6d74c838b101b1424485b37.png)
(1)证明:
;
(2)当
,
时,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd936a2405709574af0a73543d94ad9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0427054c47e348f35771872fd0215a8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c71855e55064d1dc59eabe43e73a881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/846071242f981289741ad19f4e7190cf.png)
![](https://img.xkw.com/dksih/QBM/2016/6/7/1572696996036608/1572697002213376/STEM/a1d2f57cf6d74c838b101b1424485b37.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679372e54c59c5cf67931b12b9833e02.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca036d049f5205cf04cb1b9c5cd03f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72f7d9f5e71bfef8188b1216c1276c2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2016-12-02更新
|
728次组卷
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7卷引用:2016届山西省榆林市高三二模理科数学试卷
2012·山西·模拟预测
9 . 选修4-1:几何证明与选讲
如图,
为直角三角形,
,以
为直径的圆交
于点
,点
是
边的中点,连
交圆
于点
.
![](https://img.xkw.com/dksih/QBM/2012/7/18/1570929345421312/1570929350885376/STEM/65b65a034d9240f586d14af8ffda9f65.png)
(1)求证:
四点共圆;
(2)求证:
.
如图,
![](https://img.xkw.com/dksih/QBM/2012/7/18/1570929345421312/1570929350885376/STEM/4980a3b5704f4f1fb835cfcd19f40dec.png)
![](https://img.xkw.com/dksih/QBM/2012/7/18/1570929345421312/1570929350885376/STEM/b164f1071bf64f9691f0aaafd0ee96e4.png)
![](https://img.xkw.com/dksih/QBM/2012/7/18/1570929345421312/1570929350885376/STEM/e17394ecdcb64168a256b4f9b9145f53.png)
![](https://img.xkw.com/dksih/QBM/2012/7/18/1570929345421312/1570929350885376/STEM/f30d3d5660c04e529ac86af4bb59ec23.png)
![](https://img.xkw.com/dksih/QBM/2012/7/18/1570929345421312/1570929350885376/STEM/8853fde643e14fc09c72ae39351c16c1.png)
![](https://img.xkw.com/dksih/QBM/2012/7/18/1570929345421312/1570929350885376/STEM/c1ee4c09327e48179112a7f0c1d8f798.png)
![](https://img.xkw.com/dksih/QBM/2012/7/18/1570929345421312/1570929350885376/STEM/b2d0c7bef63749faaaa1899b0ae679d7.png)
![](https://img.xkw.com/dksih/QBM/2012/7/18/1570929345421312/1570929350885376/STEM/401d71137cb74eec9ac7f6b990d30d9d.png)
![](https://img.xkw.com/dksih/QBM/2012/7/18/1570929345421312/1570929350885376/STEM/04d5677e1e6e4cab88427ea121168e9f.png)
![](https://img.xkw.com/dksih/QBM/2012/7/18/1570929345421312/1570929350885376/STEM/4bd486e68ac64b1bbc0607bd979b00a4.png)
![](https://img.xkw.com/dksih/QBM/2012/7/18/1570929345421312/1570929350885376/STEM/65b65a034d9240f586d14af8ffda9f65.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2012/7/18/1570929345421312/1570929350885376/STEM/f278726017e446e28a3771ab7f512f29.png)
(2)求证:
![](https://img.xkw.com/dksih/QBM/2012/7/18/1570929345421312/1570929350885376/STEM/8282db9bd45d41b1be919175f0b46978.png)
您最近一年使用:0次