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如圖,已知點(diǎn)A(0,1),B(0,﹣1),以點(diǎn)A為圓心,AB為半徑作圓,交x軸的正半軸于點(diǎn)C,則∠BAC等于      度.                                                                       

                                                                       

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某農(nóng)場租用播種機(jī)播種小麥,在甲播種機(jī)播種2天后,又調(diào)來乙播種機(jī)參與播種,直至完成800畝的播種任務(wù),播種畝數(shù)與天數(shù)之間的函數(shù)關(guān)系如圖所示,那么乙播種機(jī)參與播種的天數(shù)是      天.                    

                                                                    

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如圖,在平面直角坐標(biāo)系中,反比例函數(shù)y=(x>0)的圖象交矩形OABC的邊AB于點(diǎn)D,交邊BC于點(diǎn)E,且BE=2EC.若四邊形ODBE的面積為6,則k=      .                                             

                                                                   

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如圖,MN為⊙O的直徑,A、B是⊙O上的兩點(diǎn),過A作AC⊥MN于點(diǎn)C,過B作BD⊥MN于點(diǎn)D,P為DC上的任意一點(diǎn),若MN=20,AC=8,BD=6,則PA+PB的最小值是      .                   

                                                                          

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在直角坐標(biāo)系中,一條直線經(jīng)過A(﹣1,5),P(﹣2,a),B(3,﹣3)三點(diǎn).                    

(1)求a的值;                                                                                

(2)設(shè)這條直線與y軸相交于點(diǎn)D,求△OPD的面積.                                

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如圖,△ABC中,AB=AC,AD⊥BC,CE⊥AB,AE=CE.求證:                    

(1)△AEF≌△CEB;                                                                            

(2)AF=2CD.                                                                                 

                                                                        

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父親節(jié)快到了,明明準(zhǔn)備為爸爸煮四個(gè)大湯圓作早點(diǎn):一個(gè)芝麻餡,一個(gè)水果餡,兩個(gè)花生餡,四個(gè)湯圓除內(nèi)部餡料不同外,其它一切均相同.                                                                       

(1)求爸爸吃前兩個(gè)湯圓剛好都是花生餡的概率;                                       

(2)若給爸爸再增加一個(gè)花生餡的湯圓,則爸爸吃前兩個(gè)湯圓都是花生餡的可能性是否會(huì)增大?請(qǐng)說明理由.                                               

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如圖,在Rt△ABC中,∠ACB=90°,∠B=30°,將△ABC繞點(diǎn)C按順時(shí)針方向旋轉(zhuǎn)n度后,得到△DEC,點(diǎn)D剛好落在AB邊上.                                                                                               

(1)求n的值;                                                                                

(2)若F是DE的中點(diǎn),判斷四邊形ACFD的形狀,并說明理由.                

                                                           

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如圖,已知△PDC是⊙O的內(nèi)接三角形,CP=CD,若將△PCD繞點(diǎn)P順時(shí)針旋轉(zhuǎn),當(dāng)點(diǎn)C剛落在⊙O上的A處時(shí),停止旋轉(zhuǎn),此時(shí)點(diǎn)D落在點(diǎn)B處.                                                                     

(1)求證:PB與⊙O相切;                                                                  

(2)當(dāng)PD=2,∠DPC=30°時(shí),求⊙O的半徑長.                                    

                                                            

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如圖,在平行四邊形ABCD中,對(duì)角線AC、BD交于點(diǎn)O.M為AD中點(diǎn),連接CM交BD于點(diǎn)N,且ON=1.                                                 

(1)求BD的長;                                                                             

(2)若△DCN的面積為2,求四邊形ABNM的面積.                                   

                                                               

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