20240423使用记录

工具v3/文本文件/metadata.txt

@@ -1,116 +1,884 @@
-ans
+usages
 
-018470
-与$\overrightarrow{EF}$平行的非零向量(除$\overrightarrow{EF}$外): $\overrightarrow{FE}$, $\overrightarrow{BD}$, $\overrightarrow{DB}$, $\overrightarrow{CD}$, $\overrightarrow{DC}$, $\overrightarrow{BC}$, $\overrightarrow{CB}$; 与$\overrightarrow{EF}$相等的向量(除$\overrightarrow{EF}$外): $\overrightarrow{BD}$, $\overrightarrow{DC}$
 
-018471
+021726
-$\overrightarrow{EA}$, $\overrightarrow{BE}$, $\overrightarrow{DF}$
+20240422	2026届高一10班	1.000
 
-023627
-证明略
 
-018476
+021729
-合力为$10\mathrm{N}$, 合力与铅垂方向偏离约$36.87^\circ$
+20240422	2026届高一10班	0.975
 
-018477
-$\sqrt{3}$
 
-018478
+021730
-直角三角形($A=90^\circ$)
+20240422	2026届高一10班	0.875
 
-009615
-(1) $\overrightarrow{EF}$, $\overrightarrow{CB}$, $\overrightarrow{DO}$;\\
-(2) $\overrightarrow{BO}$, $\overrightarrow{OE}$, $\overrightarrow{EO}$, $\overrightarrow{AF}$, $\overrightarrow{FA}$, $\overrightarrow{BE}$, $\overrightarrow{EB}$, $\overrightarrow{CD}$, $\overrightarrow{DC}$;\\
-(3) $\overrightarrow{AB}$, $\overrightarrow{BA}$, $\overrightarrow{BC}$, $\overrightarrow{CB}$, $\overrightarrow{CD}$, $\overrightarrow{DC}$, $\overrightarrow{DE}$, $\overrightarrow{ED}$, $\overrightarrow{EF}$, $\overrightarrow{FE}$, $\overrightarrow{FA}$, $\overrightarrow{AF}$, $\overrightarrow{OA}$, $\overrightarrow{AO}$, $\overrightarrow{OB}$, $\overrightarrow{BO}$, $\overrightarrow{CO}$, $\overrightarrow{OD}$, $\overrightarrow{DO}$, $\overrightarrow{OE}$, $\overrightarrow{EO}$, $\overrightarrow{OF}$, $\overrightarrow{FO}$;\\
-(4) $\overrightarrow{BO}$, $\overrightarrow{OE}$, $\overrightarrow{AF}$, $\overrightarrow{CD}$
 
-009616
+021731
-(1) $\overrightarrow{CB}$; (2) $\overrightarrow{BA}$
+20240422	2026届高一10班	1.000
 
-009618
-不一定, 比如三向量平行的时候
 
-018480
+021732
-(1) $-\overrightarrow{a}$; (2) $5\overrightarrow{a}+\overrightarrow{b}$; (3) $2\lambda\overrightarrow{b}-2\mu\overrightarrow{a}$
+20240422	2026届高一10班	1.000
 
-018481
-$3\overrightarrow{a}-4\overrightarrow{b}$
 
-018482
+021733
-(1) $2\overrightarrow{BC}-\dfrac{1}{2}\overrightarrow{BA}$; (2) $-\dfrac{3}{2}\overrightarrow{CB}-\dfrac{1}{2}\overrightarrow{CA}$
+20240422	2026届高一10班	1.000	0.975	0.950	0.150
 
-018483
-$A,B,C$共线, 证明略
 
-018484
+021734
-$\lambda=\dfrac{4}{9}$, $\mu=-\dfrac{7}{9}$
+20240422	2026届高一10班	1.000	0.950	0.975
 
-009619
-(1) $17\overrightarrow{a}-10\overrightarrow{b}$; (2) $-\dfrac{7}{12}\overrightarrow{a}+\dfrac{13}{12}\overrightarrow{b}$; (3) $-11\overrightarrow{b}+11\overrightarrow{c}$
 
-009621
+021737
-$\overrightarrow{AD}=-\dfrac{1}{2}\overrightarrow{a}+\overrightarrow{b}$; $\overrightarrow{AG}=-\dfrac{1}{3}\overrightarrow{a}+\dfrac{2}{3}\overrightarrow{b}$; $\overrightarrow{GC}=\dfrac{1}{3}\overrightarrow{a}+\dfrac{1}{3}\overrightarrow{b}$
+20240422	2026届高一10班	0.925
 
-018486
-(1) 投影为$-\dfrac{2}{3}\overrightarrow{d}$, 数量投影为$-2$; (2) $-6$
 
-018487
+021738
-证明略
+20240422	2026届高一10班	0.900
 
-023633
-$\overrightarrow{AB}\cdot \overrightarrow{AC}=18$, $\overrightarrow{AB}\cdot\overrightarrow{BC}=-18$
 
-018488
+024753
-$-\dfrac{3}{2}$
+20240422	2026届高一10班	0.875
 
-009622
-证明略
 
-009623
+018479
-(1) $\dfrac{\pi}{3}$; (2) $\dfrac{\pi}{3}$; (3) $\dfrac{2\pi}{3}$
+20240422	2026届高一10班	0.875
 
-009624
-当$\cos\langle \overrightarrow{a},\overrightarrow{b}\rangle = 0.8$时, 投影为$\dfrac{24}{25}\overrightarrow{a}$, 数量投影为$\dfrac{24}{5}$; 当$\cos\langle \overrightarrow{a},\overrightarrow{b}\rangle = -0.8$时, 投影为$-\dfrac{24}{25}\overrightarrow{a}$, 数量投影为$-\dfrac{24}{5}$
 
-023631
+021726
-$-\dfrac{1}{8}\overrightarrow{a}$
+20240422	2026届高一11班	1.000
 
-023629
-$\sqrt{3}$或$\sqrt{7}$
 
-023630
+021729
-$\dfrac{9}{4}$
+20240422	2026届高一11班	0.343
 
-023628
-\textcircled{2}
 
-023632
+021730
-证明略
+20240422	2026届高一11班	0.829
 
-018490
-证明略
 
-018491
+021731
-$6$
+20240422	2026届高一11班	1.000
 
-018489
-证明略
 
-018492
+021732
-$10$
+20240422	2026届高一11班	0.971
 
-004258
-$1$或$\dfrac{1}{4}$
 
-009626
+021733
-(1) $16-18\sqrt{3}$; (2) $\dfrac{2\pi}{3}$
+20240422	2026届高一11班	1.000	0.971	1.000	0.314
 
-009627
-$\sqrt{7}$
 
-010349
+021734
-$-16$
+20240422	2026届高一11班	1.000	0.971	0.914
 
-023634
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