1/5单选题
难度：
1.
如图所示，在△ABC中，D为AC边上一点，∠DBC=∠A，BC=
，AC=3，则CD的长为（ ）
| A | 1 |
| B | 4 |
| C | 3 |
| D | 2 |
- 提示1：
- PHA+5L6d6aKY5oSP77yM5piT6K+B4pazQkNE4oi94pazQUNC77yM5qC55o2u55u45Ly85LiJ6KeS5b2i5a+55bqU6L655oiQ5q+U5L6L6Kej562U5Y2z5Y+vPC9wPg==
正确答案：RA==
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
2/5单选题
难度：
2.
如图，D为△ABC的AB边上的一点，∠ABC=∠ACD，AD=2cm，AB=3cm，
则AC=（ ）cm
| A | 6 |
| B |
|
| C |
|
| D |
|
- 提示1：
- PHA+55Sx4oigQUJDPeKIoEFDRO+8jOKIoEHmmK/lhazlhbHop5LvvIzmoLnmja7mnInkuKTop5Llr7nlupTnm7jnrYnnmoTkuInop5LlvaLnm7jkvLzvvIzljbPlj6/or4HlvpfilrNBQ0TiiL3ilrNBQkM8L3A+
- 提示2：
- PHA+54S25ZCO55Sx55u45Ly85LiJ6KeS5b2i55qE5a+55bqU6L655oiQ5q+U5L6L77yM5Y2z5Y+v5rGC5b6XQUPnmoTplb88L3A+
正确答案：Qg==
PGRpdj7op6PvvJriiLXiiKBBQkM94oigQUNE77yM4oigQeaYr+WFrOWFseinku+8jDxicj7iiLTilrNBQ0TiiL3ilrNBQkPvvIw8YnI+4oi0QUTvvJpBQz1BQ++8mkFC77yMPGJyPuKItUFEPTJjbe+8jEFCPTNjbe+8jDxicj7iiLRBQz08aW1nIGhlaWdodD0iMjEiIHdpZHRoPSI5MiIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8yMy81MC9yQkFDRTFNTVZnbnltSW9ZQUFBQ1dDc0N5bk01NDcucG5nIiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzIzLzUwL3JCQUNFMU1NVmdueW1Jb1lBQUFDV0NzQ3luTTU0Ny5wbmciPmNtPC9kaXY+PGRpdj7iiLTpgIlCPC9kaXY+
3/5单选题
难度：
3.
如图，等边△ABC中，AB=3，P为BC上一点，D为AC上一点，若BP=1，
CD=23 ，则∠APD等于（ ）
| A | 30° |
| B | 45° |
| C | 60° |
| D | 不等确定 |
- 提示1：
- PHA+6ICD5p+l55u45Ly85LiJ6KeS5b2i55qE5bqU55So77yM6aKY5Lit4pazQUJQ4oi94pazUENE77yM6L+b6ICM5Y+v5rGC5Ye64oigQVBE55qE5aSn5bCPPC9wPg==
正确答案：Qw==
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
4/5单选题
难度：
4.
如图，点P是⊙O的直径BA延长线上一点，PC与⊙O相切于点C，CD⊥AB，垂足为D，连接AC，BC，OC，那么下列结论中：
①PC2=PA•PB；
②PC•OC=OP•CD；
③OA2=OD•OP.
正确的有（ ）个
| A | 0 |
| B | 1 |
| C | 2 |
| D | 3 |
- 提示1：
- PHA+56ys5LiA5Liq57uT6K665Y+v5Lul6YCa6L+H5YiH5Ymy57q/5a6a55CG55u05o6l5b6X5YiwPC9wPg==
- 提示2：
- PHA+4pazQ09Q4oi94pazRENQ5Y+v5b6X56ys5LqM5Liq57uT6K66PC9wPg==
- 提示3：
- PHA+4pazQ09Q4oi94pazRE9D5Y+v5b6X5YiwT0M8c3VwPjI8L3N1cD49T0TigKJPUO+8jOiAjE9DPU9B77yM5omA5Lul57uT6K665LiJ5Lmf5Y+v5b6X5YiwLjwvcD4=
正确答案：RA==
PGRpdj7op6PvvJriiLXiiKBDRFA94oigT0NQPTkwwrDvvIziiKBPUEM94oigQ1BE77yI5YWs5YWx6KeS77yJPGJyPuKItOKWs0NPUOKIveKWs0RDUDxicj7iiLRQQ+KAok9DPU9Q4oCiQ0Q8YnI+5Zyo4pazQ09Q5ZKM4pazRE9D5LitPGJyPuKIoENPRD3iiKBQT0PvvIjlhazlhbHop5LvvInvvIziiKBDRE894oigUENPPTkwwrA8YnI+4oi04pazQ09Q4oi94pazRE9DPGJyPuKItE9DPHN1cD4yPC9zdXA+PU9E4oCiT1A8YnI+5Y+I4oi1T0E9T0M8YnI+4oi0T0E8c3VwPjI8L3N1cD49T0TigKJPUC48YnI+5pWF6YCJRC48L2Rpdj4=
5/5单选题
难度：
5.
如图，已知直角三角形ABC，CD是斜边AB上的高，那么下列各关系式：①CD2=AD· BD；②AC·BC=CD·AB；③AC2=AD·AB；④CD≤
其中正确的个数是（ ）
| A | 1 |
| B | 2 |
| C | 3 |
| D | 4 |
- 提示1：
- PHA+5Yip55So55u45Ly85LiJ6KeS5b2i55+l6K+GPC9wPg==
正确答案：RA==
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