diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index bd58a1b6..790e3cd8 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -273685,7 +273685,7 @@ }, "010109": { "id": "010109", - "content": "求下列各式中$x$的值(其中$x>0$):\n(1) $x^3=27$;\\\\\n(2) $x^4=121$;\\\\\n(3) $x^\\frac 32=1000$;\\\\\n(4) $x^{-\\frac 43}=\\dfrac{16}{625}$.", + "content": "求下列各式中$x$的值(其中$x>0$):\\\\\n(1) $x^3=27$;\\\\\n(2) $x^4=121$;\\\\\n(3) $x^\\frac 32=1000$;\\\\\n(4) $x^{-\\frac 43}=\\dfrac{16}{625}$.", "objs": [ "K0203002B", "K0201004B" @@ -273700,7 +273700,8 @@ "usages": [], "origin": "新教材必修第一册习题", "edit": [ - "20220806\t王伟叶" + "20220806\t王伟叶", + "20231009\t王伟叶" ], "same": [], "related": [], @@ -273951,7 +273952,7 @@ }, "010119": { "id": "010119", - "content": "求下列各式的值:\\\\\n(1) $\\log_2(2\\times 3\\sqrt 2)$;\\\\\n(2) $\\log_{21}3+\\log_{21}7$;\\\\\n(3) $\\log_5\\sqrt 6-\\dfrac 12\\log_5 150$;\\\\\n(4) $3^{\\log_31}+\\log_248-\\log_23$;\\\\\n(5) $3\\log_3\\dfrac 32-\\log_3\\dfrac 74+\\dfrac 12\\log_34+\\log_37$.", + "content": "求下列各式的值:\\\\\n(1) $\\log_2(2\\times \\sqrt[3]{2})$;\\\\\n(2) $\\log_{21}3+\\log_{21}7$;\\\\\n(3) $\\log_5\\sqrt 6-\\dfrac 12\\log_5 150$;\\\\\n(4) $3^{\\log_31}+\\log_248-\\log_23$;\\\\\n(5) $3\\log_3\\dfrac 32-\\log_3\\dfrac 74+\\dfrac 12\\log_34+\\log_37$.", "objs": [ "K0204002B", "K0205002B" @@ -273966,7 +273967,8 @@ "usages": [], "origin": "新教材必修第一册习题", "edit": [ - "20220806\t王伟叶" + "20220806\t王伟叶", + "20231009\t王伟叶" ], "same": [], "related": [], @@ -524962,7 +524964,7 @@ }, "020374": { "id": "020374", - "content": "求下列各式的值:\\\\\n(1) $\\log_525$;\\\\\n(2) $\\log_{\\dfrac 13} 27$;\\\\\n(3) $\\log_4 \\sqrt 2$;\\\\\n(4) $2^{\\log_23}$.", + "content": "求下列各式的值:\\\\\n(1) $\\log_525$;\\\\\n(2) $\\log_{\\frac 13} 27$;\\\\\n(3) $\\log_4 \\sqrt 2$;\\\\\n(4) $2^{\\log_23}$.", "objs": [], "tags": [ "第二单元", @@ -524975,7 +524977,8 @@ "usages": [], "origin": "2025届高一校本作业必修第三章试题23", "edit": [ - "20221223\t王伟叶" + "20221223\t王伟叶", + "20231009\t王伟叶" ], "same": [], "related": [], @@ -525521,7 +525524,7 @@ }, "020398": { "id": "020398", - "content": "若$3^a=3 x$, $3^b=3 y$, 则$\\log_9 x y=$\\blank{50}.(用$a, b$表示)", + "content": "若$3^a=3 x$, $3^b=3 y$, 则$\\log_9 (xy)=$\\blank{50}.(用$a, b$表示)", "objs": [], "tags": [ "第二单元", @@ -525534,7 +525537,8 @@ "usages": [], "origin": "2025届高一校本作业必修第三章试题47", "edit": [ - "20221223\t王伟叶" + "20221223\t王伟叶", + "20231009\t王伟叶" ], "same": [], "related": [],