添加21657的关联题24749, 并修改两题的remark说明原因
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@ -1,198 +1,7 @@
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usages
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remark
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014585
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20240318 2024届高三10班 0.895 FORCE
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20240103 2024届高三10班 0.545
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21657
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定义域交代不清楚, 题中等式交代极不规范, 建议作废, 不再使用, 用24749代替
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014083
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20240318 2024届高三01班 0.781 FORCE
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20231201 2024届高三01班 0.917
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014083
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20240318 2024届高三04班 0.731 FORCE
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20231201 2024届高三04班 0.733
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014585
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20240318 2024届高三04班 0.692 FORCE
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20240103 2024届高三04班 0.697
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014585
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20240318 2024届高三09班 0.882 FORCE
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20240103 2024届高三09班 0.667
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024676
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20240322 2026届高一08班 0.878 FORCE
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20231024 2026届高一08班 0.927
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040238
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20240325 2026届高一10班 0.897 FORCE
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20240318 2026届高一10班 0.923
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040238
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20240325 2026届高一11班 0.974 FORCE
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20240318 2026届高一11班 0.872
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040238
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20240325 2026届高一12班 0.900 FORCE
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20240318 2026届高一12班 0.902
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040238
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20240325 2026届高一01班 1.000 FORCE
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20240318 2026届高一01班 0.972
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040238
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20240325 2026届高一02班 0.850 FORCE
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20240318 2026届高一02班 0.919
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040238
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20240325 2026届高一03班 0.881 FORCE
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20240318 2026届高一03班 0.769
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040238
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20240325 2026届高一04班 0.833 FORCE
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20240318 2026届高一04班 0.639
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040238
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20240325 2026届高一07班 0.919 FORCE
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20240318 2026届高一07班 0.914
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040238
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20240325 2026届高一08班 0.825 FORCE
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20240318 2026届高一08班 0.667
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040238
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20240325 2026届高一09班 1.000 FORCE
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20240318 2026届高一09班 0.722
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002112
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20240325 2025届高二10班 0.967 FORCE
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20240318 2025届高二10班 0.968
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002409
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20240325 2025届高二10班 0.933 FORCE
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20240318 2025届高二10班 0.871
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041079
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20240325 2025届高二10班 0.867 FORCE
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20240318 2025届高二10班 0.774
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041080
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20240325 2025届高二10班 1.000 FORCE
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20240318 2025届高二10班 0.968
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002112
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20240325 2025届高二11班 0.960 FORCE
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20240318 2025届高二11班 0.962
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002409
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20240325 2025届高二11班 0.880 FORCE
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20240318 2025届高二11班 0.923
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041079
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20240325 2025届高二11班 0.840 FORCE
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20240318 2025届高二11班 0.654
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041080
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20240325 2025届高二11班 0.800 FORCE
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20240318 2025届高二11班 0.923
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002409
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20240325 2025届高二01班 0.970 FORCE
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20240318 2025届高二01班 0.923
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041079
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20240325 2025届高二01班 0.909 FORCE
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20240318 2025届高二01班 0.821
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041080
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20240325 2025届高二01班 0.939 FORCE
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20240318 2025届高二01班 0.974
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002409
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20240325 2025届高二02班 1.000 FORCE
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20240318 2025届高二02班 0.974
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041079
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20240325 2025届高二02班 0.969 FORCE
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20240318 2025届高二02班 0.895
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041080
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20240325 2025届高二02班 1.000 FORCE
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20240318 2025届高二02班 0.921
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002112
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20240325 2025届高二03班 1.000 FORCE
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20240318 2025届高二03班 0.947
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002409
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20240325 2025届高二03班 1.000 FORCE
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20240318 2025届高二03班 0.947
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041079
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20240325 2025届高二03班 0.925 FORCE
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20240318 2025届高二03班 0.947
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041080
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20240325 2025届高二03班 1.000 FORCE
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20240318 2025届高二03班 0.947
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002112
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20240325 2025届高二04班 0.973 FORCE
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20240318 2025届高二04班 0.941
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002409
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20240325 2025届高二04班 0.784 FORCE
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20240318 2025届高二04班 0.912
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041079
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20240325 2025届高二04班 0.838 FORCE
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20240318 2025届高二04班 0.882
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041080
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20240325 2025届高二04班 0.973 FORCE
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20240318 2025届高二04班 0.912
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002409
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20240325 2025届高二05班 0.886 FORCE
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20240318 2025届高二05班 0.800
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041079
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20240325 2025届高二05班 0.857 FORCE
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20240318 2025届高二05班 0.800
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041080
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20240325 2025届高二05班 0.971 FORCE
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20240318 2025届高二05班 0.914
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002112
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20240325 2025届高二07班 0.976 FORCE
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20240318 2025届高二07班 0.975
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002409
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20240325 2025届高二07班 0.878 FORCE
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20240318 2025届高二07班 0.900
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041079
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20240325 2025届高二07班 0.756 FORCE
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20240318 2025届高二07班 0.825
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041080
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20240325 2025届高二07班 0.902 FORCE
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20240318 2025届高二07班 0.875
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002112
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20240325 2025届高二09班 0.939 FORCE
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20240318 2025届高二09班 1.000
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002409
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20240325 2025届高二09班 0.970 FORCE
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20240318 2025届高二09班 1.000
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041079
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20240325 2025届高二09班 0.848 FORCE
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20240318 2025届高二09班 0.758
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041080
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20240325 2025届高二09班 0.939 FORCE
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20240318 2025届高二09班 0.879
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24749
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从21657修改而来, 明确了定义域
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@ -605046,7 +605046,7 @@
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},
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"021657": {
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"id": "021657",
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"content": "已知函数$y=f(x)$满足$f(x+2)=-f(x)$.\\\\\n(1) 若当$x \\in[0,2)$时, $f(x)=x$, 求$f(3)$、$f(5)$、$f(7)$的值;\\\\\n(2) 求函数$y=f(x)$的一个周期, 并加以证明.",
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"content": "(OBSOLETE)已知函数$y=f(x)$满足$f(x+2)=-f(x)$.\\\\\n(1) 若当$x \\in[0,2)$时, $f(x)=x$, 求$f(3)$、$f(5)$、$f(7)$的值;\\\\\n(2) 求函数$y=f(x)$的一个周期, 并加以证明.",
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"objs": [],
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"tags": [
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"第三单元"
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@ -605067,11 +605067,14 @@
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],
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"origin": "2025届高一下校本作业",
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"edit": [
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"20230209\t王伟叶"
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"20230209\t王伟叶",
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"20240327\t王伟叶"
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],
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"same": [],
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"related": [],
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"remark": "",
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"related": [
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"024749"
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],
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"remark": "定义域交代不清楚, 题中等式交代极不规范, 建议作废, 不再使用, 用24749代替",
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"space": "4em",
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"unrelated": []
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},
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@ -689640,6 +689643,31 @@
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"space": "4em",
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"unrelated": []
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},
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"024749": {
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"id": "024749",
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"content": "已知定义域为$\\mathbf{R}$的函数$y=f(x)$满足: 对任意$x\\in \\mathbf{R}$, 总成立$f(x+2)=-f(x)$.\\\\\n(1) 若当$x \\in[0,2)$时, $f(x)=x$, 求$f(3)$、$f(5)$、$f(7)$的值;\\\\\n(2) 求函数$y=f(x)$的一个周期, 并加以证明.",
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"objs": [],
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"tags": [
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"第三单元"
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],
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"genre": "4em",
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"ans": "(1) $f(3)=-1$; $f(5)=1$; $f(7)=-1$;\\\\\n(2) 一个周期可以为$4$, 证明略.",
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"solution": "",
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"duration": -1,
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"usages": [],
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"origin": "2025届高一下校本作业-20240327修改",
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"edit": [
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"20230209\t王伟叶",
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"20240327\t王伟叶"
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],
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"same": [],
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"related": [
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"021657"
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],
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"remark": "从21657修改而来, 明确了定义域",
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"space": "4em",
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"unrelated": []
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},
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"030001": {
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"id": "030001",
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"content": "若$x,y,z$都是实数, 则:(填写``\\textcircled{1} 充分非必要、\\textcircled{2} 必要非充分、\\textcircled{3} 充要、\\textcircled{4} 既非充分又非必要''之一)\\\\\n(1) ``$xy=0$''是``$x=0$''的\\blank{50}条件;\\\\\n(2) ``$x\\cdot y=y\\cdot z$''是``$x=z$''的\\blank{50}条件;\\\\\n(3) ``$\\dfrac xy=\\dfrac yz$''是``$xz=y^2$''的\\blank{50}条件;\\\\\n(4) ``$|x |>| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0<x<3$''是``$|x-1|<2$'' 的\\blank{50}条件.",
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