中学生网络课堂
初二数学 (苏科版下册)
特殊的平行四边形
本课配套习题挑战模式1/5
单选题
难度系数：
1.
如图，正方形ABCD的边长是4，∠DAC的平分线交DC于点E，若点P、Q分别是AD和AE上的动点，则DQ+PQ的最小值（ ）
| A: 2 |
| B: 4 |
| C: 2 |
| D: 4 |
一次做对，真牛！
+5奖励规则>
- 提示1：PHA+6L+HROS9nEFF55qE5Z6C57q/5LqkQUXkuo5G77yM5LqkQUPkuo5E4oCy77yM5YaN6L+HROKAsuS9nETigLJQ4oCy4oqlQUTvvIznlLHop5LlubPliIbnur/nmoTmgKfotKjlj6/lvpflh7pE4oCy5pivROWFs+S6jkFF55qE5a+556ew54K577yM6L+b6ICM5Y+v55+lROKAslDigLLljbPkuLpEUStQUeeahOacgOWwj+WAvC48L3A+
- 答案：Qw==
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
本课配套习题挑战模式2/5
单选题
难度系数：
2.如图，正方形ABCD的边长是6，∠BCA的平分线交AB于点E，若点P、Q分别是CE和BC上的动点，则BP+PQ的最小值（ ）
| A: 12 |
B: 3 |
| C:6 |
| D: 6 |
一次做对，真牛！
+5奖励规则>
- 提示1：IOi/h0LkvZxDReeahOWegue6v+S6pENF5LqORu+8jOS6pEFD5LqOQuKAsu+8jOWGjei/h0LigLLkvZxC4oCyUeKAsuKKpUJD77yM55Sx6KeS5bmz5YiG57q/55qE5oCn6LSo5Y+v5b6X5Ye6QuKAsuaYr0LlhbPkuo5DReeahOWvueensOeCue+8jOi/m+iAjOWPr+efpULigLJR4oCy5Y2z5Li6QlArUFHnmoTmnIDlsI/lgLwu
- 答案：Qg==
6Kej77ya5L2cQuWFs+S6jkNF55qE5a+556ew54K5QuKAsu+8jOWGjei/h0LigLLkvZxC4oCyUeKAsuKKpUJD5LqOUeKAsu+8jDxicj48aW1nIHdpZHRoPTE1MCBoZWlnaHQ9MTQyIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMTAvQzYvckJBQ0ZGTjE2TUxTQUt2WUFBQVU4eEdvMjNFOTc4LnBuZyI+PGJyPuKItUJC4oCy4oqlQ0XvvIw8YnI+4oi04oigQ0ZCPeKIoENGQuKAsu+8jDxicj7iiLVDRj1DRu+8jOKIoEJDRT3iiKBBQ0XvvIw8YnI+4oi04pazQkNG4omM4pazQuKAskNG77yMPGJyPuKItELigLLmmK9C5YWz5LqOQ0XnmoTlr7nnp7DngrnvvIxDQuKAsj1DQj0277yMPGJyPuKItELigLJR4oCy5Y2z5Li6QlArUFHnmoTmnIDlsI/lgLzvvIw8YnI+4oi15Zub6L655b2iQUJDROaYr+ato+aWueW9ou+8jDxicj7iiLTiiKBCQ0LigLI9NDXCsO+8jDxicj7iiLRDUeKAsj1C4oCyUeKAsu+8jDxicj7iiLTlnKhSdOKWs0NC4oCyUeKAsuS4re+8jDxicj5C4oCyUeKAsjxzdXA+Mjwvc3VwPitDUeKAsjxzdXA+Mjwvc3VwPj1DQuKAsjxzdXA+Mjwvc3VwPu+8jENC4oCyPHN1cD4yPC9zdXA+PTM277yMPGJyPuKItUNR4oCyPULigLJR4oCy77yMPGJyPjJC4oCyUeKAsjxzdXA+Mjwvc3VwPj1DUeKAsjxzdXA+Mjwvc3VwPu+8jOWNszJC4oCyUeKAsjxzdXA+Mjwvc3VwPj0zNu+8jDxicj7iiLRC4oCyUeKAsj0zPGltZyB3aWR0aD0xNyBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC80Qy9DRC9yQkFDRTFOMTU2empzdkVXQUFBQmRwZkhUWGs5MDIucG5nIj7vvIzljbNCUCtQUeeahOacgOWwj+WAvOS4ujM8aW1nIHdpZHRoPTE3IGhlaWdodD0yMSBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzRDL0NEL3JCQUNFMU4xNTZ6anN2RVdBQUFCZHBmSFRYazkwMi5wbmciPi4gPGJyPuaVhemAiUIuIA==
本课配套习题挑战模式3/5
单选题
难度系数：
3.如图，正方形ABCD的边长是4，∠DAC的平分线交DC于点E，若点P、Q分别是AD和AE上的动点，则DQ+PQ的最小值（ ）
| A: 2 |
| B: 4 |
| C: 2 |
| D: 4 |
一次做对，真牛！
+5奖励规则>
- 提示1：IOi/h0TkvZxBReeahOWegue6v+S6pEFF5LqORu+8jOS6pEFD5LqOROKAsu+8jOWGjei/h0TigLLkvZxE4oCyUOKAsuKKpUFE77yM55Sx6KeS5bmz5YiG57q/55qE5oCn6LSo5Y+v5b6X5Ye6ROKAsuaYr0TlhbPkuo5BReeahOWvueensOeCue+8jOi/m+iAjOWPr+efpUTigLJQ4oCy5Y2z5Li6RFErUFHnmoTmnIDlsI/lgLwu
- 答案：Qw==
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
本课配套习题挑战模式4/5
单选题
难度系数：
4.以正方形AOBC的顶点O为坐标原点，点B在X轴正半轴上，点A在Y轴正半轴上，如图所示，∠CAB的平分线交BC于点D，E、F分别是AD、AC上的动点，若CE+EF的最小值为4，则F点的坐标为（）。
，则F点的坐标为（）。 A: （8， ） |
| B: （，8） |
C: （ ，8） |
| D: （，） |
一次做对，真牛！
+5奖励规则>
- 提示1：IOi/h0PkvZxBROeahOWegue6v+S6pEFE5LqOUO+8jOS6pEFC5LqOQ+KAsu+8jOWGjei/h0PigLLkvZxD4oCyRuKAsuKKpUFD77yM55Sx6KeS5bmz5YiG57q/55qE5oCn6LSo5Y+v5b6X5Ye6Q+KAsuaYr0PlhbPkuo5BROeahOWvueensOeCue+8jOi/m+iAjOWPr+efpUPigLJG4oCy5Y2z5Li6Q0UrRUbnmoTmnIDlsI/lgLzvvIxD4oCyRuKAsj00PGltZyB3aWR0aD0xNyBoZWlnaHQ9MjEgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC80Qy9DRC9yQkFDRTFOMTU2empzdkVXQUFBQmRwZkhUWGs5MDIucG5nIj7vvIzngrlG4oCy55qE5Z2Q5qCH5bCx5piv54K5RueahOWdkOaghy4=
- 提示2：IOeUseS6juKIoENBQj00NcKw5Y+v5b6XQSBG4oCyPTQ8aW1nIHdpZHRoPTE3IGhlaWdodD0yMSBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzRDL0NEL3JCQUNFMU4xNTZ6anN2RVdBQUFCZHBmSFRYazkwMi5wbmciPu+8jEEgQ+KAsj0477yM5omA5LulRueCueWdkOagh+S4uu+8iDxpbWcgd2lkdGg9MjUgaGVpZ2h0PTIxIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMTAvQzYvckJBQ0ZGTjE2TWJTV2F6VEFBQUJvV1NIWEowNTAxLnBuZyI+77yMOO+8ieOAgg==
- 答案：Qw==
6Kej77ya6L+HQ+S9nEMgQ+KAsuKKpUFE5LqkQULkuo5D4oCy77yM6L+HQ+KAsuS9nEPigLJG4oCy4oqlQUPkuo5G4oCy77yMQ+KAskbigLLkuqRBROS6jkXigLIuIA==
本课配套习题挑战模式5/5
单选题
难度系数：
5.如图，在正方形ABCD中，∠BCA的平分线交AB于点E，点P、Q分别是CE和BC上的动点，若BP+PQ的最小值是4，则正方形ABCD的周长为（ ）
| A: 16 |
| B: 16 |
| C: 24 |
| D: 24 |
一次做对，真牛！
+5奖励规则>
- 提示1：IOi/h0LkvZxCRuKKpUNF5LqORu+8jOW7tumVv0JG5LqkQUPkuo5C4oCy77yM6L+HQuKAsuS9nELigLJR4oCy4oqlQkPkuo5R4oCy77yMQuKAslHigLLkuqRDReS6jlDigLIuIOeUseinkuW5s+WIhue6v+eahOaAp+i0qOWPr+W+l+WHukLigLLmmK9C5YWz5LqOQ0XnmoTlr7nnp7DngrnvvIzov5vogIzlj6/nn6VC4oCyUeKAsuWNs+S4ukJQK1BR55qE5pyA5bCP5YC877yM5YaN5qC55o2u562J6IWw55u06KeS5LiJ6KeS5b2i55qE5oCn6LSo5rGC5Ye65q2j5pa55b2i55qE6L656ZW/77yM5YiZ5ZGo6ZW/PTTDl+i+uemVvy4=
- 答案：QQ==
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
