Final answer:
Statement C is false as trade relations between China and developed countries are not lax but are complex and strategically significant.
Step-by-step explanation:
To identify the statement false of China's economic condition from the options provided, we must analyze each one in the context of the data and trends.
Statement A mentions that China's GDP maintained at 11.5 percent growth in 2009. This figure seems somewhat inconsistent with China's growth trends around that period, which saw high but varying rates of GDP growth.
Statement B describes China's GDP growth in the first quarter of 2010 as 11.7 percent. This is in line with historical economic data indicating China's rapid growth during that time.
Statement C suggests that trade relations between China and developed countries, including the United States and the EU, are lax. This is unequivocally false, as these relationships are complex and involve significant strategic and economic considerations.
Statement D addresses challenges faced by China, such as a massive savings glut and the globalization of manufacturing networks. These are indeed recognized as major challenges in China's economic landscape.