如图,正方形
中,E,F分别是
上的点,
交
于M,
交BD于点N,若
平分
,
,记
,
,
,则有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/10/72eb6268-372c-44d7-afdf-df705bc9068c.jpg?resizew=123)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4515e1dff9a852b3294dc1d6488a5748.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f49d1de7c6dfc04b6e84e23eec0a1d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1253dfd244f7e866e85c567f7ac25a4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90a06436a2688ee77b64f6968f690523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ed01d03c46344ef2f6aea7b413df011.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/10/72eb6268-372c-44d7-afdf-df705bc9068c.jpg?resizew=123)
A.![]() | B.![]() | C.![]() | D.![]() |
更新时间:2024-03-10 12:59:05
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相似题推荐
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【推荐1】如图,在RtΔABC中,∠ACB=90°,AC=9,BC=12,AD是∠BAC的平分线,若点P,Q分别是AD和AC上的动点,则PC+PQ的最小值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/10/0785d9d7-b11f-4660-af6d-1e03dfddcd95.png?resizew=186)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/10/0785d9d7-b11f-4660-af6d-1e03dfddcd95.png?resizew=186)
A.![]() | B.![]() | C.12 | D.15 |
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【推荐2】如图,正方形
的边长为
,点
从点
出发沿着线段
向点
运动(不与点
,
重合),同时点
从点
出发沿着线段
向点
运动(不与点
,
重合),点
与点
的运动速度相同.
与
相交于点
,
为
中点、则有下列结论:
![](https://img.xkw.com/dksih/QBM/2021/10/14/2829158686703616/2835388799361024/STEM/0fd65ee7-fa8b-4df7-a720-1731be2bfca8.png)
①
是定值;
②
平分
;
③当
运动到
中点时,
;
④当
时,四边形
的面积是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.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/c5db41a1f31d6baee7c69990811edb9f.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/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
![](https://img.xkw.com/dksih/QBM/2021/10/14/2829158686703616/2835388799361024/STEM/0fd65ee7-fa8b-4df7-a720-1731be2bfca8.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/191c1d68303fa3c15a3aae2cfa752878.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2319a01218514917e446dfc807a625ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed24d7acba0b3a7ebf4d520296424a3.png)
③当
![](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/594c46cae6cb091e4e064da9077a926f.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d97e9cf8403bccdc26a425b96f9de0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6f34abd455231723b608fb8c2523d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
其中正确的是( )
A.①②④ | B.①②③ |
C.①③④ | D.②③④ |
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【推荐1】如图,在平面直角坐标系中,点A1,A2,A3....都在x轴上,点B1,B2,B3都在直线y=x上,△OA1B1,△B1A1A2,△B2B1A2,△B2A2A3,△B3B2A3....都是等腰直角三角形,且OA1=1,则点B2020的坐标是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/17/d8a58f2b-daf6-4e24-9222-ace344a49e55.png?resizew=180)
A.(22018,22018) | B.(22019,22019) | C.(22019,22020) | D.(22020,22020) |
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【推荐2】如图,正方形ABCD的边长为2,Q为CD边上(异于C,D) 的一个动点,AQ交BD于点M.过M作MN⊥AQ交BC于点N,作NP⊥BD于点P,连接NQ,下面结论:①AM=MN;②MP=
;③△CNQ的周长为3;④BD+2BP=2BM,其中一定成立的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/83bf6610-e27c-4ef6-8230-a37dda5bf3f5.png?resizew=132)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/17/83bf6610-e27c-4ef6-8230-a37dda5bf3f5.png?resizew=132)
A.①②③④ | B.①②③ | C.①②④ | D.①④ |
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真题
【推荐1】如图,在正方形
中,
是对角线
与
的交点,
是
边上的动点(点
不与
重合),
与
交于点
,连接
.下列五个结论:①
;②
;③
;④
;⑤若
,则
的最小值是
,其中正确结论的个数是 ( )
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/394e1fddb0524407a9df6060bf82eb04.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/54b53c9617b34e20937c9b385685942b.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/ae1181279837454f95b1ad876bd53a76.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/e957eb75eb5f49fcb221d8921d1c07e8.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/91a04958cc134721b95a4bf22f951fae.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/c6e8d92a49ff4b93bcf19300979f9f12.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/91a04958cc134721b95a4bf22f951fae.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/207008faf55f4b61a064f4a0ba97ebc1.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/ae71257660974e67baba89207b5009cf.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/975dfe2af7cc4fe6b4873e85961547f1.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/4d5b41d1e6474582909a2ce442904a1c.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/a98ca5c22d4b4004b4d32bdba8220203.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/70368eb3474c41b99fd40639a62a0406.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/9c80bc7b8e22496b8024e447b041cd85.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/3228d04fb54d41a2b17ba8f00aa64c56.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/4298f634386e440a82576878840a731e.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/c4068e33a7e747a5bf80694f6022fd97.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/2c942c41a16447d38371601801a24b86.png)
![](https://img.xkw.com/dksih/QBM/2017/8/1/1773762647220224/1773762647334912/STEM/ed08f6280f8f44879580027c3b733307.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/4/18f60ad6-c043-415c-b3ed-7ed4eca4ace8.png?resizew=156)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】如图,边长一定的正方形ABCD,Q为CD上一个动点,AQ交BD于点M,过M作MN⊥AQ交BC于点N,作NP⊥BD于点P,连接NQ,下列结论:①AM=MN;②MP=
BD;③BN+DQ=NQ;④
为定值.其中一定成立的是
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/b7b40bbd-f5c9-4048-bf75-be8f74cd694c.png?resizew=104)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8293cba717644687feb2b32fc0f9e8c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/7/b7b40bbd-f5c9-4048-bf75-be8f74cd694c.png?resizew=104)
A.①②③ | B.①②④ | C.②③④ | D.①②③④ |
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【推荐1】正五边形ABCDE内接于圆,连接AC,AD,BE,BE分别与AC,AD交于点F,G,连接DF.若AB=2,下列结论:①∠FDG=18°;②BF=
﹣1;③四边形CDEF是菱形;④S阴影=
.其中正确的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b6f835371a38864594252e24e1d5b24.png)
A.4个 | B.3个 | C.2个 | D.1个 |
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【推荐2】如图,在
中,
,
分别是
的中点,动点
在射线
上,
交
于点
,
的平分线交
于点
,当
时,
的值为( ).
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/16/ff4ab425-ae54-4ea4-91ae-941afc8e3d4f.png?resizew=217)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a373959bb9026f8a09845c0b828bf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5dc62e10004e73908091338362917da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a91f89a0bc06bd1613e4ec4011e6755.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f56703afb98c69e113fbc39b219bece4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124920b89a59346fceb56ed7c64d6580.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/16/ff4ab425-ae54-4ea4-91ae-941afc8e3d4f.png?resizew=217)
A.6 | B.9 | C.12 | D.18 |
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