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在△ABC中,∠ACB=90° ,點O為△ABC的三條角平分線的交點,OD⊥BC,OE⊥AC,OF⊥AB,點D,E,F分別為垂足,且AB=10,BC=8,則點O到三邊AB,AC,BC的距離分別是(   )

A.2,2,2    B.3,3,3   C.4,4,4   D.2,3,5

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在△ABC中,∠C=90°,AC=BC,AD平分∠CAB,交BC于點D,DE⊥AB于點E,且AB=10,則△EDB的周長是(    )

A.4      B.6      C.8     D.10

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下面的圖形是天氣預報的圖標,其中既是軸對稱圖形又是中心對稱圖形的是( 。

A.

B.

C.

D.

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不等式3(2x+5)> 2(4x+3)的解集為( )

A.x>4.5 B.x<4.5 C.x=4.5 D.x>9

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方程的解為( )

A.2 B.1 C.2 D.1

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下列從左到右的變形是因式分解的是(    )

A.(x+1)(x-1)=x2-1  B.(a-b)(m-n)=(b-a)(n-m)

C.ab-a-b+1=(a-1)(b-1) D.m2-2m-3=m(m-2-)

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 若a<0,則下列不等式不成立的是(    )

A. a+5<a+7  B.5a>7a   C.5-a<7-a   D.

圖2

 

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已知:等邊△ABC

(1)如圖1,P為等邊△ABC外一點,且∠BPC=120°.試猜想線段BP、PC、AP之間的數量關系,并證明你的猜想;
(2)如圖2,P為等邊△ABC內一點,且∠APD=120°.求證:PA+PD+PC>BD.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 


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如圖,已知點B、C、D在同一條直線上,△ABC和△CDE都是等邊三角形.BE交AC于F,AD交CE于H,

①求證:△BCE≌△ACD;  ②求證:CF=CH;  ③判斷△CFH的形狀并說明理由.

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如圖,在等邊△ABC中,點D、E分別在邊BC、AB上,且BD=AE,AD與CE交于點F。(1)求證:AD=CE;(2)求∠DFC的度數。

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